{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# M-Estimators for Robust Linear Modeling" ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "execution": { "iopub.execute_input": "2026-07-30T06:35:39.065429Z", "iopub.status.busy": "2026-07-30T06:35:39.065170Z", "iopub.status.idle": "2026-07-30T06:35:39.756637Z", "shell.execute_reply": "2026-07-30T06:35:39.754843Z" } }, "outputs": [], "source": [ "%matplotlib inline" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "execution": { "iopub.execute_input": "2026-07-30T06:35:39.759362Z", "iopub.status.busy": "2026-07-30T06:35:39.758985Z", "iopub.status.idle": "2026-07-30T06:35:41.280989Z", "shell.execute_reply": "2026-07-30T06:35:41.276596Z" } }, "outputs": [], "source": [ "from statsmodels.compat import lmap\n", "\n", "import matplotlib.pyplot as plt\n", "import numpy as np\n", "from scipy import stats\n", "\n", "import statsmodels.api as sm" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "* An M-estimator minimizes the function \n", "\n", "$$Q(e_i, \\rho) = \\sum_i~\\rho \\left (\\frac{e_i}{s}\\right )$$\n", "\n", "where $\\rho$ is a symmetric function of the residuals \n", "\n", "* The effect of $\\rho$ is to reduce the influence of outliers\n", "* $s$ is an estimate of scale. \n", "* The robust estimates $\\hat{\\beta}$ are computed by the iteratively re-weighted least squares algorithm" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "* We have several choices available for the weighting functions to be used" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "execution": { "iopub.execute_input": "2026-07-30T06:35:41.283906Z", "iopub.status.busy": "2026-07-30T06:35:41.283498Z", "iopub.status.idle": "2026-07-30T06:35:41.288312Z", "shell.execute_reply": "2026-07-30T06:35:41.286376Z" } }, "outputs": [], "source": [ "norms = sm.robust.norms" ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "execution": { "iopub.execute_input": "2026-07-30T06:35:41.290559Z", "iopub.status.busy": "2026-07-30T06:35:41.290298Z", "iopub.status.idle": "2026-07-30T06:35:41.297638Z", "shell.execute_reply": "2026-07-30T06:35:41.296154Z" } }, "outputs": [], "source": [ "def plot_weights(support, weights_func, xlabels, xticks):\n", " fig = plt.figure(figsize=(12, 8))\n", " ax = fig.add_subplot(111)\n", " ax.plot(support, weights_func(support))\n", " ax.set_xticks(xticks)\n", " ax.set_xticklabels(xlabels, fontsize=16)\n", " ax.set_ylim(-0.1, 1.1)\n", " return ax" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Andrew's Wave" ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "execution": { "iopub.execute_input": "2026-07-30T06:35:41.301725Z", "iopub.status.busy": "2026-07-30T06:35:41.300797Z", "iopub.status.idle": "2026-07-30T06:35:41.307359Z", "shell.execute_reply": "2026-07-30T06:35:41.306103Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Help on function weights in module statsmodels.robust.norms:\n", "\n", "weights(self, z)\n", " Andrew's wave weighting function for the IRLS algorithm\n", "\n", " The psi function scaled by z.\n", "\n", " .. math::\n", "\n", " w(z) = \\begin{cases}\n", " \\sin(z/a) / (z/a) & \\text{for } |z| \\le a\\pi \\\\\n", " 0 & \\text{for } |z| > a\\pi\n", " \\end{cases}\n", "\n", " Parameters\n", " ----------\n", " z : array_like\n", " 1d array\n", "\n", " Returns\n", " -------\n", " weights : ndarray\n", " The value of the weighting function.\n", "\n" ] } ], "source": [ "help(norms.AndrewWave.weights)" ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "execution": { "iopub.execute_input": "2026-07-30T06:35:41.309891Z", "iopub.status.busy": "2026-07-30T06:35:41.309662Z", "iopub.status.idle": "2026-07-30T06:35:41.580106Z", "shell.execute_reply": "2026-07-30T06:35:41.577672Z" } }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 6, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "a = 1.339\n", "support = np.linspace(-np.pi * a, np.pi * a, 100)\n", "andrew = norms.AndrewWave(a=a)\n", "plot_weights(\n", " support, andrew.weights, [r\"$-\\pi*a$\", \"0\", r\"$\\pi*a$\"], [-np.pi * a, 0, np.pi * a]\n", ")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Hampel's 17A" ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "execution": { "iopub.execute_input": "2026-07-30T06:35:41.583238Z", "iopub.status.busy": "2026-07-30T06:35:41.582986Z", "iopub.status.idle": "2026-07-30T06:35:41.592040Z", "shell.execute_reply": "2026-07-30T06:35:41.589377Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Help on function weights in module statsmodels.robust.norms:\n", "\n", "weights(self, z)\n", " Hampel weighting function for the IRLS algorithm\n", "\n", " The psi function scaled by z.\n", "\n", " .. math::\n", "\n", " w(z) = \\begin{cases}\n", " 1 & \\text{for } |z| \\le a \\\\\n", " a/|z| & \\text{for } a < |z| \\le b \\\\\n", " \\frac{a(c - |z|)}{|z|(c - b)} & \\text{for } b < |z| \\le c \\\\\n", " 0 & \\text{for } |z| > c\n", " \\end{cases}\n", "\n", " Parameters\n", " ----------\n", " z : array_like\n", " 1d array\n", "\n", " Returns\n", " -------\n", " weights : ndarray\n", " The value of the weighting function.\n", "\n" ] } ], "source": [ "help(norms.Hampel.weights)" ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "execution": { "iopub.execute_input": "2026-07-30T06:35:41.594434Z", "iopub.status.busy": "2026-07-30T06:35:41.594190Z", "iopub.status.idle": "2026-07-30T06:35:41.791137Z", "shell.execute_reply": "2026-07-30T06:35:41.789587Z" } }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 8, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "c = 8\n", "support = np.linspace(-3 * c, 3 * c, 1000)\n", "hampel = norms.Hampel(a=2.0, b=4.0, c=c)\n", "plot_weights(support, hampel.weights, [\"3*c\", \"0\", \"3*c\"], [-3 * c, 0, 3 * c])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Huber's t" ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "execution": { "iopub.execute_input": "2026-07-30T06:35:41.794413Z", "iopub.status.busy": "2026-07-30T06:35:41.793415Z", "iopub.status.idle": "2026-07-30T06:35:41.800340Z", "shell.execute_reply": "2026-07-30T06:35:41.798958Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Help on function weights in module statsmodels.robust.norms:\n", "\n", "weights(self, z)\n", " Huber's t weighting function for the IRLS algorithm\n", "\n", " The psi function scaled by z.\n", "\n", " .. math::\n", "\n", " w(z) = \\begin{cases}\n", " 1 & \\text{for } |z| \\le t \\\\\n", " t/|z| & \\text{for } |z| > t\n", " \\end{cases}\n", "\n", " Parameters\n", " ----------\n", " z : array_like\n", " 1d array\n", "\n", " Returns\n", " -------\n", " weights : ndarray\n", " The value of the weighting function.\n", "\n" ] } ], "source": [ "help(norms.HuberT.weights)" ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "execution": { "iopub.execute_input": "2026-07-30T06:35:41.802837Z", "iopub.status.busy": "2026-07-30T06:35:41.802594Z", "iopub.status.idle": "2026-07-30T06:35:41.992846Z", "shell.execute_reply": "2026-07-30T06:35:41.992141Z" } }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 10, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "t = 1.345\n", "support = np.linspace(-3 * t, 3 * t, 1000)\n", "huber = norms.HuberT(t=t)\n", "plot_weights(support, huber.weights, [\"-3*t\", \"0\", \"3*t\"], [-3 * t, 0, 3 * t])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Least Squares" ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "execution": { "iopub.execute_input": "2026-07-30T06:35:41.995906Z", "iopub.status.busy": "2026-07-30T06:35:41.995662Z", "iopub.status.idle": "2026-07-30T06:35:42.003502Z", "shell.execute_reply": "2026-07-30T06:35:42.002825Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Help on function weights in module statsmodels.robust.norms:\n", "\n", "weights(self, z)\n", " The least squares estimator weighting function for the IRLS algorithm\n", "\n", " The psi function scaled by the input z.\n", "\n", " .. math::\n", "\n", " w(z) = 1\n", "\n", " Parameters\n", " ----------\n", " z : array_like\n", " 1d array\n", "\n", " Returns\n", " -------\n", " weights : ndarray\n", " The value of the weighting function.\n", "\n" ] } ], "source": [ "help(norms.LeastSquares.weights)" ] }, { "cell_type": "code", "execution_count": 12, "metadata": { "execution": { "iopub.execute_input": "2026-07-30T06:35:42.008112Z", "iopub.status.busy": "2026-07-30T06:35:42.007881Z", "iopub.status.idle": "2026-07-30T06:35:42.156692Z", "shell.execute_reply": "2026-07-30T06:35:42.155206Z" } }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 12, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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DQ7FjAgAAQJcpOqrLysri3HPPjZ/+9Kdt1n/yk5/E+eef3+6+SZMmvWmtUChEjx7tv3V5eXlUVFS0eQAAAEB306Gvf3/hC1+IBx54IJYtWxZ79+6NO+64IzZu3BjXXXdd6zE333xzDBo0qM2ehx9+OFasWBGvvvpqrFu3Lv7xH/8x5syZ01m/AwAAAJREh6J6xowZceedd8Ytt9wS1dXVceedd8Y999wTZ599drt7Jk6cGHV1dXHrrbfGSSedFLNnz465c+fG7bff/q6HBwAAgFLq0H2qS8V9qgEAAOhKnX6fagAAAKAtUQ0AAABJohoAAACSRDUAAAAkiWoAAABIEtUAAACQJKoBAAAgSVQDAABAkqgGAACAJFENAAAASaIaAAAAkkQ1AAAAJIlqAAAASBLVAAAAkCSqAQAAIElUAwAAQJKoBgAAgCRRDQAAAEmiGgAAAJJENQAAACSJagAAAEgS1QAAAJAkqgEAACBJVAMAAECSqAYAAIAkUQ0AAABJohoAAACSRDUAAAAkiWoAAABIEtUAAACQJKoBAAAgSVQDAABAkqgGAACAJFENAAAASaIaAAAAkkQ1AAAAJIlqAAAASBLVAAAAkCSqAQAAIElUAwAAQJKoBgAAgCRRDQAAAEmiGgAAAJJENQAAACSJagAAAEgS1QAAAJAkqgEAACBJVAMAAECSqAYAAIAkUQ0AAABJohoAAACSRDUAAAAkiWoAAABIEtUAAACQJKoBAAAgSVQDAABAkqgGAACAJFENAAAASaIaAAAAkkQ1AAAAJIlqAAAASBLVAAAAkCSqAQAAIElUAwAAQJKoBgAAgCRRDQAAAEmiGgAAAJJENQAAACSJagAAAEgS1QAAAJAkqgEAACBJVAMAAECSqAYAAIAkUQ0AAABJohoAAACSRDUAAAAkiWoAAABIEtUAAACQJKoBAAAgSVQDAABAkqgGAACAJFENAAAASaIaAAAAkkQ1AAAAJIlqAAAASBLVAAAAkCSqAQAAIElUAwAAQJKoBgAAgCRRDQAAAEmiGgAAAJJSUb1ly5ZYtWpVbNu2rUP7Ghsbo66uLh5//PHM2wIAAEC30qGofu211+Lyyy+PqVOnxpIlS+Kcc86JhQsXRqFQKGr/pz/96fiTP/mTuO2221LDAgAAQHfSqyMHL1myJNasWRObN2+OoUOHxpNPPhkTJkyIKVOmxFVXXfW2e5cuXRovvvhiXHDBBe9qYAAAAOguOnSmura2Nq688soYOnRoRER88IMfjIsuuihqa2vfdt+vf/3r+MpXvhK1tbXRo4c/4wYAAODYUHThHjp0KJ566qkYN25cm/Vx48bFli1b2t138ODB+NSnPhW33357DBs2rKj3amlpiaampjYPAAAA6G6KjupXXnklDh8+HCeeeGKb9aqqqti3b1+7+z73uc/F+PHjY86cOUUPtXjx4qisrGx91NTUFL0XAAAAukrRUV1eXh4REa+++mqb9VdeeSX69u37lnvWrFkTy5Yti6lTp0ZdXV3U1dXFrl27YseOHVFXV/emn/WGRYsWRWNjY+ujoaGh2DEBAACgyxR9obJ+/fpFdXV11NfXt1mvr6+P008//S339OnTJ2bOnBmrV69uXduxY0f07Nkzli9fHpMnT47+/fu/aV95eXlrxAMAAEB3VVYo9n5YEbFgwYLYuHFjrF+/Pnr06BHNzc0xYsSImD9/ftx6660REbF169Z45pln4tJLL33Ln/Hxj388+vbtG3V1dUUP2dTUFJWVldHY2BgVFRVF7wMAAICMYju0Q5fi/tKXvhTbt2+PK664Ir7zne/EJZdcEr169Yobbrih9ZgVK1bEvHnz8pMDAADAUaJDUT18+PDYsGFDjB49Oh599NH46Ec/GuvWrYuqqqrWY8aOHRuXXXZZuz/jIx/5SJx33nn5iQEAAKCb6NDXv0vF178BAADoSu/J178BAACA3xHVAAAAkCSqAQAAIElUAwAAQJKoBgAAgCRRDQAAAEmiGgAAAJJENQAAACSJagAAAEgS1QAAAJAkqgEAACBJVAMAAECSqAYAAIAkUQ0AAABJohoAAACSRDUAAAAkiWoAAABIEtUAAACQJKoBAAAgSVQDAABAkqgGAACAJFENAAAASaIaAAAAkkQ1AAAAJIlqAAAASBLVAAAAkCSqAQAAIElUAwAAQJKoBgAAgCRRDQAAAEmiGgAAAJJENQAAACSJagAAAEgS1QAAAJAkqgEAACBJVAMAAECSqAYAAIAkUQ0AAABJohoAAACSRDUAAAAkiWoAAABIEtUAAACQJKoBAAAgSVQDAABAkqgGAACAJFENAAAASaIaAAAAkkQ1AAAAJIlqAAAASBLVAAAAkCSqAQAAIElUAwAAQJKoBgAAgCRRDQAAAEmiGgAAAJJENQAAACSJagAAAEgS1QAAAJAkqgEAACBJVAMAAECSqAYAAIAkUQ0AAABJohoAAACSRDUAAAAkiWoAAABIEtUAAACQJKoBAAAgSVQDAABAkqgGAACAJFENAAAASaIaAAAAkkQ1AAAAJIlqAAAASBLVAAAAkCSqAQAAIElUAwAAQJKoBgAAgCRRDQAAAEmiGgAAAJJENQAAACSJagAAAEgS1QAAAJAkqgEAACBJVAMAAECSqAYAAIAkUQ0AAABJohoAAACSRDUAAAAkiWoAAABIEtUAAACQJKoBAAAgqVdHNzQ0NMS3vvWteP7552PkyJFxzTXXxODBg9s9/vDhw7Fy5cr42c9+Fq+//npMnDgx5s+fH717935XgwMAAECpdehM9XPPPRdnnXVWPPXUUzFlypT4xS9+ERMmTIg9e/a0u2fSpElRV1cXo0ePjg9/+MNx2223xeTJk+O1115718MDAABAKZUVCoVCsQcvXLgwNmzYEOvXr48ePXpEc3NzjBgxIq6++ur46le/+pZ7tm/fHkOHDm19Xl9fH6eddlrce++9cfnllxf1vk1NTVFZWRmNjY1RUVFR7LgAAACQUmyHduhM9erVq2PWrFnRo8dvt/Xt2zdmzpwZq1evbnfP/w/qiIjq6uro3bt37N27tyNvDQAAAN1O0VF98ODB2LVrVwwbNqzN+rBhw+LZZ58t+g2//e1vR0TE1KlT2z2mpaUlmpqa2jwAAACguyk6qltaWiIion///m3WBwwYEM3NzUX9jJ/97Gfxl3/5l/G1r30thg8f3u5xixcvjsrKytZHTU1NsWMCAABAlyk6qgcMGBA9e/Z809e29+zZE4MGDXrH/WvXro2ZM2fGF7/4xbjuuuve9thFixZFY2Nj66OhoaHYMQEAAKDLFH1LrV69esWYMWNiy5Ytbda3bNkS48aNe9u9v/zlL2PGjBlx7bXXxi233PKO71VeXh7l5eXFjgYAAAAl0aELlc2dOzdWrFgR27dvj4iIJ598Mh588MGYO3du6zErVqyI+fPntz5/4oknYsaMGfG5z30ubr311k4aGwAAAEqv6DPVERHXX399rF27Ns4888z48Ic/HOvWrYs5c+bEVVdd1XrM1q1b4/777299PnPmzDhy5Ehs27YtPvGJT7Suz549O2bPnt0JvwIAAACURoeiuk+fPnH//ffH5s2bo76+PkaMGBFjxoxpc8zs2bPjrLPOan2+dOnSOHz48Jt+1tixY5MjAwAAQPdQVigUCqUe4p0Ue9NtAAAA6AzFdmiH/qYaAAAA+B1RDQAAAEmiGgAAAJJENQAAACSJagAAAEgS1QAAAJAkqgEAACBJVAMAAECSqAYAAIAkUQ0AAABJohoAAACSRDUAAAAkiWoAAABIEtUAAACQJKoBAAAgSVQDAABAkqgGAACAJFENAAAASaIaAAAAkkQ1AAAAJIlqAAAASBLVAAAAkCSqAQAAIElUAwAAQJKoBgAAgCRRDQAAAEmiGgAAAJJENQAAACSJagAAAEgS1QAAAJAkqgEAACBJVAMAAECSqAYAAIAkUQ0AAABJohoAAACSRDUAAAAkiWoAAABIEtUAAACQJKoBAAAgSVQDAABAkqgGAACAJFENAAAASaIaAAAAkkQ1AAAAJIlqAAAASBLVAAAAkCSqAQAAIElUAwAAQJKoBgAAgCRRDQAAAEmiGgAAAJJENQAAACSJagAAAEgS1QAAAJAkqgEAACBJVAMAAECSqAYAAIAkUQ0AAABJohoAAACSRDUAAAAkiWoAAABIEtUAAACQJKoBAAAgSVQDAABAkqgGAACAJFENAAAASaIaAAAAkkQ1AAAAJIlqAAAASBLVAAAAkCSqAQAAIElUAwAAQJKoBgAAgCRRDQAAAEmiGgAAAJJENQAAACSJagAAAEgS1QAAAJAkqgEAACBJVAMAAECSqAYAAIAkUQ0AAABJohoAAACSRDUAAAAkiWoAAABIEtUAAACQJKoBAAAgSVQDAABAkqgGAACAJFENAAAASaIaAAAAkjoc1cuWLYszzjgjysvL40Mf+lCsWrXqPdkDAAAA3V2Hovqhhx6KhQsXxk033RS7du2KBQsWxKxZs2L9+vWdugcAAACOBmWFQqFQ7MEXXHBBVFRUxMqVK1vXJk6cGKNHj47a2tpO2/P7mpqaorKyMhobG6OioqLYcQEAACCl2A4t+kx1oVCIxx9/PKZMmdJmfdq0abF27dpO2wMAAABHi17FHrh///44cOBAnHzyyW3WhwwZErt27eq0PRERLS0t0dLS0vq8qamp2DEBAACgy7zrq38XCoUoKyvr1D2LFy+OysrK1kdNTc27HRMAAAA6XdFRPXDgwDjhhBPipZdearP+0ksvxSmnnNJpeyIiFi1aFI2Nja2PhoaGYscEAACALlN0VJeVlcW5554bP/3pT9us/+QnP4nzzz+/0/ZERJSXl0dFRUWbBwAAAHQ3Hfr69xe+8IV44IEHYtmyZbF379644447YuPGjXHddde1HnPzzTfHoEGDOrQHAAAAjkYdiuoZM2bEnXfeGbfccktUV1fHnXfeGffcc0+cffbZnboHAAAAjgYduk91qbhPNQAAAF2p0+9TDQAAALQlqgEAACBJVAMAAECSqAYAAIAkUQ0AAABJohoAAACSRDUAAAAkiWoAAABIEtUAAACQJKoBAAAgSVQDAABAkqgGAACAJFENAAAASaIaAAAAkkQ1AAAAJIlqAAAASBLVAAAAkCSqAQAAIElUAwAAQJKoBgAAgCRRDQAAAEmiGgAAAJJENQAAACSJagAAAEgS1QAAAJAkqgEAACBJVAMAAECSqAYAAIAkUQ0AAABJohoAAACSRDUAAAAkiWoAAABIEtUAAACQJKoBAAAgSVQDAABAkqgGAACAJFENAAAASaIaAAAAkkQ1AAAAJIlqAAAASBLVAAAAkCSqAQAAIElUAwAAQJKoBgAAgKRepR6gGIVCISIimpqaSjwJAAAAx4M3+vONHm3PURHV+/fvj4iImpqaEk8CAADA8WT//v1RWVnZ7utlhXfK7m7gyJEjsXPnzhg4cGCUlZWVepx2NTU1RU1NTTQ0NERFRUWpxwEAn00AdCtH0+dSoVCI/fv3x6mnnho9erT/l9NHxZnqHj16xNChQ0s9RtEqKiq6/X8gABxffDYB0J0cLZ9Lb3eG+g0uVAYAAABJohoAAACSRHUnKi8vjy9/+ctRXl5e6lEAICJ8NgHQvRyLn0tHxYXKAAAAoDtyphoAAACSRDUAAAAkiWoAAABIOiruU320efnll+O///u/Y+fOnXHCCSfEuHHjorq6utRjAXAcKRQKsXHjxqivr4+BAwfGhAkTirrXJgC8F15//fV45pln4vnnn4+WlpYYNmxY/MEf/EH06nX0J+nR/xt0I0uXLo3vfe978cQTT8TvX/9t+vTp8Y1vfCNGjRpVoukAOF488sgj8dnPfjaeffbZ1rXy8vL4i7/4i/i7v/u76N27dwmnA+B4sm3btli8eHH84Ac/iH379rV57ZRTTombbroprrnmmtIM10lc/bsTjR49On7zm99EdXV1jBgxIqqqqqKhoSE2btwYhUIhqqqqYv369XHaaaeVelQAjlGPPfZYTJs2LV577bWorq6Oc845J1544YVYt25dRETMmzcv/u3f/q3EUwJwvPiXf/mX+MxnPhN9+/aNkSNHxvDhw+PAgQOxefPm2LNnT0REfPnLX46bb765tIO+C6K6E33zm9+MqVOnxtixY9us/+d//mdMnz49du/eHZ/97Gdj6dKlJZoQgGPZkSNHYty4cfHkk0/GpZdeGnfffXf07ds3IiLuvffe+MQnPhFHjhyJRx55JP7oj/6oxNMCcDxYu3Zt7N69O2bMmBH9+vVrXT948GBcf/31sXTp0ujdu3e88MILUVVVVcJJ80R1F1myZElcf/31MW7cuNi8eXOpxwHgGPTzn/88Jk+eHP369Yv6+voYPHhwm9cXLFgQ3/3ud2P27Nlx9913l2hKAPit119/PSoqKqK5uTl+/OMfx/Tp00s9Uoqrf3eRk046KSIiBgwYUOJJADhW/fjHP46IiI997GNvCuqIiE996lNtjgOAUurdu3dUVFRExNHdSaK6Cxw5ciTuuuuuiPjt/+gAwHvhySefjIiIs8466y1fP/vssyMiYt++fbFz584umwsA3sqDDz4YL774YgwZMiTOPPPMUo+T5urf74FNmzbFtm3b4tChQ7F9+/a4++67Y9OmTfGHf/iHceONN5Z6PACOUbt27YqIiPe9731v+XpVVVWUl5dHS0tL7N69O0499dSuHA+A41hzc3Pcd999ERGxd+/eWLduXXz/+9+Pfv36xb/+679G//79SzvguyCq3wN33XVX3H777W3Wrr322rjtttuiT58+JZoKgGPdq6++GhHR5kIwv69///7R0tISBw4c6KqxACD27dsXc+bMabM2cuTIuPvuu2P8+PElmqpziOoi3XvvvdHS0tJmbeDAgXHJJZe86djx48fHlVdeGa+99lrs3LkzNmzYEN/4xjfi8ccfj7q6uhg2bFhXjQ3AcaS8vDwifnvhl/a88Vn2xrEA0BX69esXV155ZUREvPzyy7Ft27Z4+umn4/zzz4+vf/3r8ZnPfKbEE+a5+neRBg8e3HoftTd84AMfiGeeeeYd9+7atSv+7M/+LB566KGYNGlSPPbYY+/VmAAcxz72sY/Fww8/HLfddttb/rnRwYMHW79e9/TTT8eIESO6ekQAiIjfXXfq05/+dBw6dCgee+yxOP/880s9Vooz1UWaNWtWNDU1tVmrrq4uam91dXXU1tbGkCFDYs2aNVFfX+9sNQCdbtSoUfHwww/H1q1b3/L1bdu2RUREnz59Yvjw4V04GQC01aNHj5g3b148+uij8d3vfjeWL18uqo91//zP//yu9g8aNCjKy8ujubk59uzZI6oB6HQf+chH4p/+6Z/iRz/6URw6dCh69Wr7Mf/AAw9ERMQ555zzptcAoBROOeWUiIg3fSv4aOKWWp1k9+7d0djY2O7rt99+ezQ3N0ffvn1j5MiRXTgZAMeLiy++OCorK2PHjh3x9a9/vc1r/3/tT//0T0sxHgDHod/85jftvlZfXx/Lli2LiIhx48Z11Uidzt9Ud5K6urqYN29ezJw5M8aOHRtDhw6NI0eOxI4dO+L++++PTZs2RUTEX//1X8fixYtLOywAx6w77rgjbrjhhigrK4v58+fH5MmT44UXXohvfvObsWPHjhgzZkxs2rTJ3SgA6BLDhw+PysrKmD59etTU1MSJJ54YL7/8cmzYsCFWrlwZBw8ejOrq6vj1r38dVVVVpR43RVR3kjVr1sTll18eL7/88lu+3qdPn/irv/qr+MpXvhJlZWVdPB0Ax5Mbb7wx7rjjjvj9j/gxY8bED3/4w3j/+99foskAON58/OMfjx/+8Iftvj5x4sSora2NUaNGdeFUnUtUd6JDhw7FI488Er/61a/i+eefj5aWlqiqqoozzzwzLrnkkhg8eHCpRwTgOLFp06a45557oqGhIQYMGBCTJk2KWbNmuZUWAF3uueeei9WrV8ezzz4bu3fvjv79+8fpp58ekydPjnPPPbfU471rohoAAACSXKgMAAAAkkQ1AAAAJIlqAAAASBLVAAAAkCSqAQAAIElUAwAAQJKoBgAAgCRRDQAAAEmiGgAAAJJENQAAACSJagAAAEgS1QAAAJAkqgEAACBJVAMAAEDS/wGuDg9whRx7IgAAAABJRU5ErkJggg==", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "support = np.linspace(-3, 3, 1000)\n", "lst_sq = norms.LeastSquares()\n", "plot_weights(support, lst_sq.weights, [\"-3\", \"0\", \"3\"], [-3, 0, 3])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Ramsay's Ea" ] }, { "cell_type": "code", "execution_count": 13, "metadata": { "execution": { "iopub.execute_input": "2026-07-30T06:35:42.159084Z", "iopub.status.busy": "2026-07-30T06:35:42.158793Z", "iopub.status.idle": "2026-07-30T06:35:42.164629Z", "shell.execute_reply": "2026-07-30T06:35:42.163810Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Help on function weights in module statsmodels.robust.norms:\n", "\n", "weights(self, z)\n", " Ramsay's Ea weighting function for the IRLS algorithm\n", "\n", " The psi function scaled by z.\n", "\n", " .. math::\n", "\n", " w(z) = \\exp(-a|z|)\n", "\n", " Parameters\n", " ----------\n", " z : array_like\n", " 1d array\n", "\n", " Returns\n", " -------\n", " weights : ndarray\n", " The value of the weighting function.\n", "\n" ] } ], "source": [ "help(norms.RamsayE.weights)" ] }, { "cell_type": "code", "execution_count": 14, "metadata": { "execution": { "iopub.execute_input": "2026-07-30T06:35:42.168752Z", "iopub.status.busy": "2026-07-30T06:35:42.168406Z", "iopub.status.idle": "2026-07-30T06:35:42.311930Z", "shell.execute_reply": "2026-07-30T06:35:42.310364Z" } }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 14, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "a = 0.3\n", "support = np.linspace(-3 * a, 3 * a, 1000)\n", "ramsay = norms.RamsayE(a=a)\n", "plot_weights(support, ramsay.weights, [\"-3*a\", \"0\", \"3*a\"], [-3 * a, 0, 3 * a])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Trimmed Mean" ] }, { "cell_type": "code", "execution_count": 15, "metadata": { "execution": { "iopub.execute_input": "2026-07-30T06:35:42.314470Z", "iopub.status.busy": "2026-07-30T06:35:42.314224Z", "iopub.status.idle": "2026-07-30T06:35:42.320741Z", "shell.execute_reply": "2026-07-30T06:35:42.319229Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Help on function weights in module statsmodels.robust.norms:\n", "\n", "weights(self, z)\n", " Least trimmed mean weighting function for the IRLS algorithm\n", "\n", " The psi function scaled by z.\n", "\n", " .. math::\n", "\n", " w(z) = \\begin{cases}\n", " 1 & \\text{for } |z| \\le c \\\\\n", " 0 & \\text{for } |z| > c\n", " \\end{cases}\n", "\n", " Parameters\n", " ----------\n", " z : array_like\n", " 1d array\n", "\n", " Returns\n", " -------\n", " weights : ndarray\n", " The value of the weighting function.\n", "\n" ] } ], "source": [ "help(norms.TrimmedMean.weights)" ] }, { "cell_type": "code", "execution_count": 16, "metadata": { "execution": { "iopub.execute_input": "2026-07-30T06:35:42.322822Z", "iopub.status.busy": "2026-07-30T06:35:42.322595Z", "iopub.status.idle": "2026-07-30T06:35:42.475115Z", "shell.execute_reply": "2026-07-30T06:35:42.473580Z" } }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 16, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "c = 2\n", "support = np.linspace(-3 * c, 3 * c, 1000)\n", "trimmed = norms.TrimmedMean(c=c)\n", "plot_weights(support, trimmed.weights, [\"-3*c\", \"0\", \"3*c\"], [-3 * c, 0, 3 * c])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Tukey's Biweight" ] }, { "cell_type": "code", "execution_count": 17, "metadata": { "execution": { "iopub.execute_input": "2026-07-30T06:35:42.477665Z", "iopub.status.busy": "2026-07-30T06:35:42.477395Z", "iopub.status.idle": "2026-07-30T06:35:42.483801Z", "shell.execute_reply": "2026-07-30T06:35:42.482395Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Help on function weights in module statsmodels.robust.norms:\n", "\n", "weights(self, z)\n", " Tukey's biweight weighting function for the IRLS algorithm\n", "\n", " The psi function scaled by z\n", "\n", " Parameters\n", " ----------\n", " z : array_like\n", " 1d array\n", "\n", " Returns\n", " -------\n", " weights : ndarray\n", " weights(z) = (1 - (z/c)**2)**2 for \\|z\\| <= c\n", "\n", " weights(z) = 0 for \\|z\\| > c\n", "\n" ] } ], "source": [ "help(norms.TukeyBiweight.weights)" ] }, { "cell_type": "code", "execution_count": 18, "metadata": { "execution": { "iopub.execute_input": "2026-07-30T06:35:42.486223Z", "iopub.status.busy": "2026-07-30T06:35:42.485996Z", "iopub.status.idle": "2026-07-30T06:35:42.639727Z", "shell.execute_reply": "2026-07-30T06:35:42.638257Z" } }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 18, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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29eqdfQ2mywEAYFQQqgEAGAV769p1oKFDSW6XLpw91nQ5Rrhcli4t7dsC/le2gAMAYhShGgCAUfBKWd/5zGdOz1W6J8FwNeYsm9O3Sv/Sjlr5/LbhagAACD1CNQAAo+CVsiOSpIuL43OV2nHmtFxlJCeovs2rzZVNpssBACDkCNUAAIRYY3u3Pjh4VJJ0cUl8h+qkBJcu6J98/vfyI4arAQAg9AjVAACE2Osf1slv953VXDgm1XQ5xn2if7X+FUI1ACAGEaoBAAixv/X3U8f7KrXjgln5siyprLpF1c2dpssBACCkCNUAAIRQj8+v1z+skyRdXDLOcDWRITfdo9OKsiVJfy+vM1sMAAAhRqgGACCE1u8/qtauXuWmJWlBYbbpciKGswX8VbaAAwBiDKEaAIAQcvqGLyoeK7fLMlxN5LioP1Sv21Ovrh6f4WoAAAgdQjUAACFi23bgfOpL6KceoHR8pgoyk9XZ49N7+4+aLgcAgJAhVAMAECJ769p1oKFDSW6XzpuZb7qciGJZli4q5mgtAEDsIVQDABAir+3qC4tnTMtRmifBcDWR56LZztFatbJt23A1AACEBqEaAIAQeXN3vaS+I6RwvHNm5CnJ7VLl0U7trWszXQ4AACFBqAYAIAS6enx6b3+DJLH1exBpngSdMS1HElPAAQCxg1ANAEAIrD9wVF09fhVkJmvWuHTT5UQs52itNz6sN1wJAAChQagGACAE3viwTpJ03sw8WRZHaQ3mvJl5kqT3DxzlaC0AQEwgVAMAEALOyuv59FOf1PT8dI3PSlZ3r1/vc7QWACAGEKoBABih2pYu7aptlWVJ587IM11ORLMsK/AzemsPW8ABANGPUA0AwAg5W7/nT8zSmLQkw9VEvvP6V/OdnxsAANGMUA0AwAi9sZut38NxzvRcSVJ5TauOtHYZrgYAgJEhVAMAMAI+v623dvetuBKqhyY33aO5EzMlSevYAg4AiHKEagAARmDH4WY1dvQow5OghUXZpsuJGufO6HsD4s3dhGoAQHQjVAMAMAJOX/BZ03OV6OZldajO7z9a663d9bJt23A1AAAEj1d/AABGwFlpPY+t38OyeMoYJSe6dKTVqw9r20yXAwBA0AjVAAAEqavHp00VTZI4Smu4PAlunTG1b2DZm7uZAg4AiF6EagAAgrThYKO6fX6Nz0rWlNxU0+VEnfP6t4DTVw0AiGaEagAAgvT23r4weNb0XFmWZbia6HNuf6h+b3+DvL0+w9UAABAcQjUAAEF6e2+DJOns6Wz9DsbscRnKS09SV49fWyqbTZcDAEBQCNUAAAShtatHWw/1BcGzpucariY6WZalM6b1/eze6X+DAgCAaEOoBgAgCOsPHJXPb2tybqomZqeYLidqndkfqt/dR6gGAEQnQjUAAEF4e4+z9ZtV6pE4qz9Ub6hoVFcPfdUAgOhDqAYAIAhOP/VZ9FOPyPT8NOVneNTd6w8cTwYAQDQhVAMAMEyN7d3aWd0i6dhKK4JjWVbgZ/gOW8ABAFGIUA0AwDA5/b+zxqUrP8NjuJro5wx6e5dhZQCAKESoBgBgmDhKK7SclerNlU3q7KavGgAQXQjVAAAM09t76yVxlFaoTM5N1fisZHX7/NpY0Wi6HAAAhoVQDQDAMBxp6dLeunZZlnTG1BzT5cQEy7ICR2txXjUAINoQqgEAGIb3DxyVJBUXZCo7NclwNbGDYWUAgGhFqAYAYBjW7+8L1axSh5azlX5LZZM6unsNVwMAwNARqgEAGIb3+kP16YTqkCrKSdXE7BT1+m19cIC+agBA9CBUAwAwRE0d3dpV2ypJWjqFUB1qZ0zr+5m+3//GBQAA0YBQDQDAEH1woFG2LU3LT+N86lFwev8bFU7fOgAA0YBQDQDAEDlhj37q0bG0/+e6ubJJ3l7OqwYARAdCNQAAQ0Q/9eialpemvPQkdff6te1Qs+lyAAAYkoThXlBZWalf/vKXOnjwoGbOnKkvfelLysvLO+k169at05NPPqkjR45owoQJWrlypU477bSgiwYAINzavb3aXtUX9E6fmmu4mthkWZaWTM7Riztq9P6Bo1pC3zoAIAoMa6X6wIEDWrRokcrKynThhRfqzTff1JIlS9TQMPiZkr///e914YUXyuPxaNmyZero6NCSJUv0/PPPj7h4AADCZVNFk3x+WxOzUzQxO8V0OTHL2QK+nmFlAIAoMaxQff/996uwsFBPPvmk/vmf/1nPPfecent79dBDDw16ze9//3vdeOONeuCBB3TzzTfr5z//uS688EKtWrVqxMUDABAu7+/vewOZrd+jyxlW9sHBRvn8tuFqAAA4tWGF6ueff17XXnutXK6+y5KTk7V8+fKTrjrPnDlTBw4ckN/vlyR5vV4dOnRIs2bNGkHZAACEF/3U4VEyPkNpSW61dvVqV02r6XIAADilIYfqzs5O1dTUaNKkSQNunzRpkvbt2zfodf/xH/+h4uJiFRcXa/ny5Zo9e7auuuoqff3rXx/0Gq/Xq5aWlgEfAACY4u31aVNlkyRC9WhLcLu0aPIYSdJ6jtYCAESBIYdqr9crSUpNTR1we3p6urq6uga97q233tJf/vIXXX311brhhht0xRVXaNWqVdq8efOg1zzwwAPKysoKfBQVFQ21TAAAQm7roWZ19/qVl56kaXlppsuJeZxXDQCIJkOe/p2eni63263GxsYBtzc0NCg7O3vQ6/7lX/5Fn/3sZ/Xggw9Kkm699Va1trbqy1/+st57770TXnPvvffqrrvuCnze0tJCsAYAGPN+/9bvpVNyZFmW4Wpi30eHldm2zc8cABDRhrxSnZCQoJKSEm3dunXA7Vu3btX8+fNPeI3P59Phw4c1e/bsAbfPnj1blZWVgz6Xx+NRZmbmgA8AAEzZeLDvDWWOeAqPhUXZSnRbOtLqVcXRDtPlAABwUsMaVHbzzTfr8ccf16FDhyRJO3bs0AsvvKCbb745cJ/HH39ct912myTJ7XbrtNNO05o1a9Tb2ytJ6urq0l/+8hctWbIkVN8DAACjxrZtbajoC9WL+3t9MbqSE92aX5gt6dguAQAAItWwQvVXvvIVnXXWWVqwYIEuvvhinXXWWVq5cqVuueWWwH127typp556KvD5I488og8//FCzZs3SlVdeqenTp8vr9erhhx8O2TcBAMBo2VffrqaOHnkSXCodz86pcFnavyuAYWUAgEg35J5qSUpKStJTTz2lLVu2qKKiQjNmzFBJScmA+6xYsUKLFi0KfL5w4UKVl5dry5Ytqq2t1cSJEzV//vzAsVwAAESyDf1bvxcUZispgdeucFk6ZYx+9XrfedUAAESyYYVqx4IFC7RgwYITfq20tFSlpaUDbktMTGS7NwAgKjn91IunsPU7nE6b1Pfz3lfXrsb2bo1JSzJcEQAAJ8Zb7gAAnISzUr14EqE6nHLSjh1ftqmS1WoAQOQiVAMAMIimjm7tPtImSVrEkLKwc37mGw82mS0EAICTIFQDADCITRVNkqRpeWnKYftx2C3q3x2wsYKVagBA5CJUAwAwCGfrN6vUZiyanC1J2lzZpF6f32wxAAAMglANAMAgnFC9hFBtxMyxGcrwJKij26ddta2mywEA4IQI1QAAnECvz6/NlU2SpMWEaiPcLksLJ2VLOjaFHQCASEOoBgDgBMprWtXZ41NmcoKm56ebLiduHeurbjJbCAAAgyBUAwBwAh/tp3a5LMPVxK/ABHCGlQEAIhShGgCAE/iA86kjwsKibFmWdLChQ/VtXtPlAABwHEI1AAAn4PTw0k9tVlZKomaO7dt+T181ACASEaoBAPiY6uZOVTV1yu2ytKAo23Q5cc95Y2MDW8ABABGIUA0AwMdsPNgkSSoZn6E0T4LZYqDT+rfgb+r/vQAAEEkI1QAAfMwG+qkjijMBfMuhJvX4/IarAQBgIEI1AAAf40yaXkQ/dUSYlpem7NREeXv92nm4xXQ5AAAMQKgGAOAjuj8S3BbSTx0RXC5Lp/X/LjhaCwAQaQjVAAB8RFl1i7p9fuWkJWlSTqrpctAvMKyMCeAAgAhDqAYA4CM2VzZJkhYUZsmyLLPFIMDpq95U0WS2EAAAPoZQDQDARwRCNVu/I8qComy5LKmqqVNHWrpMlwMAQAChGgCAj3BCNf3UkSXNk6CZYzMkSVsONRuuBgCAYwjVAAD0a+ro1v76dkmE6ki0oChLkrSl/40PAAAiAaEaAIB+zgro1Lw0ZacmGa4GH+dsyd9MqAYARBBCNQAA/Tb3D8FaUJhlthCckLN7YMuhJvn9ttliAADoR6gGAKDf5sq+45rY+h2ZZo3LUHKiS61dvdrf0G66HAAAJBGqAQCQJNm2fWxIWf/xTYgsiW6X5k6grxoAEFkI1QAASKo82qnGjh4luV0qGZ9huhwMwumrJlQDACIFoRoAAEmb+rd+l0zIlCfBbbgaDGYhw8oAABGGUA0AgI6FtNPop45oTqjeWd0ib6/PbDEAAIhQDQCApGOhmiFlka1wTIpy0pLU47NVVt1quhwAAAjVAAB09/q143CLJEJ1pLMsK3DkGX3VAIBIQKgGAMS98poWdff6lZ2aqMm5qabLwSksoK8aABBBCNUAgLjnhLMFhdmyLMtsMTilhUwABwBEEEI1ACDuba5oksTW72ixoDBbkrSvvl3NHT1miwEAxD1CNQAg7m0+1CRJWjgp22gdGJoxaUmBbfpbq5rMFgMAiHuEagBAXGvp6tG+unZJx1ZAEfmc3xVbwAEAphGqAQBxbXtVs6RjRzUhOjCsDAAQKQjVAIC4tu1QX6ie339ME6LDwkCobpZt22aLAQDENUI1ACCube1fqZ43MdtsIRiWORMyleCyVN/mVVVTp+lyAABxjFANAIhrrFRHp+REt2YXZEg6toUfAAATCNUAgLjV2N6tiqMdkqS5EwjV0cZ5I2TrIUI1AMAcQjUAIG5t61/hnJKbqqzURMPVYLjmTuwL1dtYqQYAGESoBgDELSeMzeMorag0v78PflsVw8oAAOYQqgEAcWvroSZJ0gL6qaPSrIJ0Jbldauro0aFGhpUBAMwgVAMA4pYzpGzeREJ1NPIkHBtWRl81AMAUQjUAIC7VtXp1uLlLliXNIVRHrXmF9FUDAMwiVAMA4pJzDNP0/HSlexIMV4NgzQsMK2syWwgAIG4RqgEAccnZLjyfVeqoFgjVhxhWBgAwg1ANAIhLzpCyeQwpi2qzxmUoKcGllq7ewJnjAACEE6EaABB3bNvW1v7t3/MJ1VEtKcGlEoaVAQAMIlQDAOJObYtXda1euV2WSscTqqMdw8oAACYRqgEAccfZ+j1zbLpSktxmi8GIfbSvGgCAcCNUAwDizja2fseUeROzJfVNdPf7GVYGAAgvQjUAIO44vbfzCrPNFoKQmDkuXZ4El1q9vTrQ0G66HABAnCFUAwDiim3bx1aqOU4rJiS6XSoZnymJvmoAQPgRqgEAcaWqqVNH27uV4LI0u39qNKKfs5WfvmoAQLgRqgEAcWV7VYskaXZBhpITGVIWK+b27zrYyko1ACDMCNUAgLiy43Bf6Jo7ga3fscRZqd7BsDIAQJgRqgEAcWV7/0rmnImZhitBKM3IT1dyokvt3T7tq2dYGQAgfAjVAIC4sv1w3/bvOaxUx5QEt0ulgWFlTWaLAQDEFUI1ACBuHGnpUl2rVy5LKhnPkLJYM6+/r9rpmwcAIBwI1QCAuLGjf5V6en66UpMSDFeDUJvTH6qdvnkAAMKBUA0AiBuBfuoJ9FPHIuf3uuNwi2ybYWUAgPAgVAMA4sZ2Z/L3RPqpY9HMsRlKdFtq7epV5dFO0+UAAOIEoRoAEDd2MKQspiUluDS7oK9Xni3gAIBwIVQDAOJCU0e3DjX2rV6Wsv07Zs0Z3z+sjFANAAgTQjUAIC44q9STc1OVlZJouBqMlrkTj/VVAwAQDoRqAEBcYEhZfCidwLFaAIDwIlQDAOLCdvqp40LJ+Ay5LKm+zasjLV2mywEAxAFCNQAgLuxg8ndcSE1K0LT8dEn0VQMAwoNQDQCIeW3eXu2vb5fE9u94MNc5r5ot4ACAMCBUAwBiXll1i2xbKshMVl66x3Q5GGXOFn+GlQEAwoFQDQCIec6QMmcyNGLbnP7fM9u/AQDhQKgGAMQ8ZxI0Q8rig3NW9aHGTjV39BiuBgAQ6wjVAICYx5Cy+JKVmqiinBRJx373AACMFkI1ACCmdfX4tPtImyS2f8cTZ7WavmoAwGgjVAMAYtqumlb5/LZy0pJUkJlsuhyEyVz6qgEAYUKoBgDENCdUzZmQKcuyDFeDcGECOAAgXAjVAICY5gwpo586vjgTwPfWtamju9dwNQCAWEaoBgDEtJ3OkDImf8eVsRnJys/wyLalsupW0+UAAGIYoRoAELN6fH6V1fQFqjkTGFIWb5zf+U76qgEAo4hQDQCIWXuOtKm7168MT4Im5aSaLgdh5uxOcFoAAAAYDYRqAEDM2tk/pKpkQqZcLoaUxRtnpXpHNSvVAIDRQ6gGAMSsndV9obp0PFu/45EznG5XTau6e/2GqwEAxCpCNQAgZjkr1aX0U8elwjEpykxOUI/P1u4jDCsDAIwOQjUAICbZtq2yGlaq45llWcfOq6avGgAwSgjVAICYVN3cpaaOHiW4LM0cl266HBgS6KtmAjgAYJQQqgEAMcnZ+j1jbLo8CW7D1cAUZ+s/Z1UDAEYLoRoAEJMYUgZJKhnvhOoW2bZtuBoAQCwiVAMAYhJDyiBJ0/PTleR2qdXbq0ONnabLAQDEIEI1ACAmMaQMkpSU4NKMsX099c7uBQAAQolQDQCIOa1dPTrY0CHp2PZfxC9nt4KzewEAgFAiVAMAYk55Td9QqvFZyRqTlmS4GphW+pG+agAAQm3Yofqxxx7TrFmz5PF4NHfuXD3zzDOnvKaqqkq33nqr8vLylJ+frzvuuEPt7e1BFQwAwKkE+qlZpYaO7VZg+zcAYDQMK1S/+OKLuv3223XfffeppqZGn/3sZ3Xttddqw4YNg15z9OhRnXPOOWpubtYHH3ygAwcOqLi4WC+//PKIiwcA4EQYUoaPct5cOdTYqebOHsPVAABizbBC9Y9+9CMtX75ct956q8aMGaO77rpLCxcu1MMPPzzoNT/4wQ/k9Xq1evVqTZkyRWlpafrCF76ga665ZoSlAwBwYhynhY/KSk3UxOwUSVI5q9UAgBAbcqi2bVvvvvuuLrzwwgG3X3zxxXr77bcHve4vf/mLPvWpTyklJSXoIgEAGKpen1+7avt6qlmphoMt4ACA0TLkUN3a2qr29nbl5+cPuH3s2LGqqakZ9Lr9+/crJydHV1xxhVJSUjR58mR99atfPWlPtdfrVUtLy4APAACGYl99u7p7/Ur3JKhoTKrpchAhSsdnSGJYGQAg9EY8/du2bVmWddKv//CHP9RnPvMZ1dfXa82aNXriiSd0xx13DHrNAw88oKysrMBHUVHRSMsEAMQJp5+6uCBDLtfgr0+IL4FjtQjVAIAQG3KozsjIUFpamurq6gbcXldXp3Hjxg16XUFBgS677DKtWLFCaWlpWrp0qe68806tWbNm0GvuvfdeNTc3Bz4qKyuHWiYAIM4F+qnZ+o2PcLZ/f1jbph6f33A1AIBYMuRQbVmWzjzzTP39738fcPurr76qs88+e9DrzjnnnONus21bLtfgT+3xeJSZmTngAwCAoeA4LZxI0ZhUpXsS1N3r1746jvUEAITOsLZ/f+1rX9Ozzz6rxx57TI2NjXrooYe0adMm3XnnnYH7fPvb31Z2dvaAa15++WU9/vjj6ujo0Pr16/WTn/xEK1euDNX3AACApL43bctYqcYJuFyWSvr7qndWNxuuBgAQS4YVqpctW6ZHH31U999/vwoKCvToo4/qySef1OLFiwe9ZunSpVqzZo2+973vKScnRytWrNDNN9+sH//4xyMuHgCAjzrS6lVDe7fcLkuzxmWYLgcRxtkCXlbdargSAEAssWzbtk0XcSotLS3KyspSc3MzW8EBAIP6e/kR/a/fr9escel66SsXmC4HEWb1+xX6t7XbdO6MPP3hn84wXQ4AIMINNYeOePo3AACRIjCkjH5qnMCxleoWRcGaAgAgShCqAQAxwxlSVkKoxgnMLsiQy5Ia2rt1pNVruhwAQIwgVAMAYgZDynAyyYluTctPl8R51QCA0CFUAwBiQru3V/sb+o5KYqUag3FaA5xdDQAAjBShGgAQE8prWmXb0rhMj/LSPabLQYRy3nBhpRoAECqEagBATGBIGYbCaQ0oI1QDAEKEUA0AiAnOdl76qXEyzpsu++vb1dHda7gaAEAsIFQDAGKCs1JNPzVOJj+jrz3AtqVdNa2mywEAxABCNQAg6vn8tnbVsP0bQ+PsZqCvGgAQCoRqAEDU21/frq4ev1IS3Zqcm2a6HES4kvEZkuirBgCEBqEaABD1yvtXqYvHZ8jtsgxXg0jHsVoAgFAiVAMAol55dV9vbHEBW79xak6oLq9pld9vG64GABDtCNUAgKjnrFQ723qBk5malyZPgksd3T4dPNphuhwAQJQjVAMAol4ZK9UYhgS3S7ML+t6AYQs4AGCkCNUAgKjW0tWjqqZOSQoEJeBUjm0BJ1QDAEaGUA0AiGpOP/XE7BRlpSQargbRorjAmQDOWdUAgJEhVAMAolpg8jer1BiG4v6Vao7VAgCMFKEaABDVAv3UDCnDMDhvwlQ1daqlq8dwNQCAaEaoBgBEtWMr1Qwpw9BlpyZpfFayJGlXDVvAAQDBI1QDAKKW328HAhHHaWG4nNXqcraAAwBGgFANAIhalY0d6uj2yZPg0pTcNNPlIMqUOH3VrFQDAEaAUA0AiFpOP/WscRlKcPOShuFxhpWxUg0AGAn+AgEARC0mf2MkSvr/3eyqaZXfbxuuBgAQrQjVAICoVR6Y/M2QMgzf1Lw0Jbldau/26VBjp+lyAABRilANAIhaZf0r1SWsVCMICW6XZo5Ll3Ts3xIAAMNFqAYARKV2b68ONnRIkmYTqhEk5yi2MvqqAQBBIlQDAKLSrtq+rd9jMzzKTfcYrgbRyjmKzWklAABguAjVAICoRD81QsFZqS5n+zcAIEiEagBAVCqnnxoh4KxUHzzaoXZvr+FqAADRiFANAIhKzkp1CSvVGIHcdI/yMzyybenDWraAAwCGj1ANAIg6tm0HpjUXj2elGiPjnHNeXkOoBgAMH6EaABB1Djd3qbWrV4luS9Py0k2Xgyjn7HYoZwI4ACAIhGoAQNRxws/0/HQlJfBShpFxVqrLWKkGAASBv0QAAFHHOVOYfmqEQmACeHWLbNs2XA0AINoQqgEAUcdZUSxm8jdCYPrYNCW4LLV09epwc5fpcgAAUYZQDQCIOs72b86oRih4Etyant/Xm09fNQBguAjVAICo0tXj0/76dkmcUY3QcabIMwEcADBchGoAQFTZXdsmvy3lpCUpP8NjuhzECKc/v4yVagDAMBGqAQBRJXA+dUGGLMsyXA1iBWdVAwCCRagGAESV8uq+0MPkb4SS8+9pX12bunp8hqsBAEQTQjUAIKqUf2SlGgiVsRkejUlNlN+W9hxpM10OACCKEKoBAFHDtm3OqMaosCwrcF41fdUAgOEgVAMAosaRVq8aO3rksqQZY9NNl4MYwwRwAEAwCNUAgKjhrCBOy09XcqLbcDWINSWsVAMAgkCoBgBEDWcFkX5qjAZnpbqsukW2bRuuBgAQLQjVAICoUU4/NUbRrHEZcllSY0eP6lq9pssBAEQJQjUAIGqwUo3RlJzo1tS8NElSGX3VAIAhIlQDAKJCd68/cNRRMSvVGCXOv61y+qoBAENEqAYARIW9dW3q9dvKTE7QhKxk0+UgRpUUMAEcADA8hGoAQFQor+lbOSwenynLsgxXg1jFWdUAgOEiVAMAokJZdd/KYQn91BhFzgTwvXVt6u71G64GABANCNUAgKjgrBzST43RNDE7RRmeBPX4bO2rbzNdDgAgChCqAQBRgcnfCAfLsgacVw0AwKkQqgEAEa++zau6Vq8sq+8sYWA0OX3V5dUMKwMAnBqhGgAQ8Xb1r1JPzklVmifBcDWIdSX9LQacVQ0AGApCNQAg4gX6qQvop8boc7Z/c1Y1AGAoCNUAgIgX6Kcez9ZvjL7Z/S0GR1q9amjzGq4GABDpCNUAgIgXOKOalWqEQZonQZNzUyUdaz0AAGAwhGoAQETr9fn1YW3f0UalHKeFMHGmzNNXDQA4FUI1ACCi7a9vV3evX2lJbhWOSTFdDuLEsQng9FUDAE6OUA0AiGjOSuHsggy5XJbhahAvSpyzqmsI1QCAkyNUAwAimrNSWMzWb4SRs1K9u7ZNvT6/4WoAAJGMUA0AiGjO5O+SAiZ/I3wm5aQqJdEtb69fBxraTZcDAIhghGoAQERjpRomuFyWZjvDyqoZVgYAGByhGgAQsZo7enS4uUuSAgEHCBenr7qcvmoAwEkQqgEAEcsJMxOzU5SZnGi4GsSbkvHOBHBWqgEAgyNUAwAiVqCfejyr1Ai/wLFanFUNADgJQjUAIGKV9fdTl9BPDQOcloOqpk41d/YYrgYAEKkI1QCAiOWcUe2sGALhlJWSqInZKZKkXaxWAwAGQagGAEQkn9/Wh06oZvs3DCkuYFgZAODkCNUAgIhUcbRDnT0+eRJcmpKbZrocxCnnDR2O1QIADIZQDQCISM751LMLMuR2WYarQbw6NqyMlWoAwIkRqgEAEelYPzVbv2GOM3l+V02r/H7bcDUAgEhEqAYARCRnpZohZTBpSm6akhJc6uj2qbKxw3Q5AIAIRKgGAESkXbWsVMO8BLdLs8alS6KvGgBwYoRqAEDEaff26mBD36rgbEI1DKOvGgBwMoRqAEDEcVapx2Z4lJvuMVwN4l3gWC1WqgEAJ0CoBgBEHCe8FI+nnxrmlYxnpRoAMDhCNQAg4jjhpYSt34gAzkr1waMdavf2Gq4GABBpCNUAgIhzbKWaUA3zctM9ys/wyLalD2vZAg4AGIhQDQCIKLZtq6yG47QQWQJ91TWEagDAQIRqAEBEOdzcpdauXiW4LE3PTzddDiDpI33V1fRVAwAGIlQDACKKE1pmjE1XUgIvU4gMzkp1GSvVAICP4a8VAEBEcbbXFjOkDBEkcFZ1dYts2zZcDQAgkhCqAQARxQnVs+mnRgSZPjZNCS5LLV29qm7uMl0OACCCEKoBABHF2f7N5G9EEk+CO9Djz3nVAICPIlQDACJGV49P++rbJUklrFQjwjhv9JRV01cNADiGUA0AiBh7jrTJ57eVnZqocZke0+UAAzh91WVMAAcAfAShGgAQMT46pMyyLMPVAAM5K9WcVQ0A+ChCNQAgYgT6qdn6jQjktCTsq2tTV4/PcDUAgEhBqAYARAxnBbCEIWWIQOMyPcpOTZTf7mtVAABACjJUb926Vc8884zKy8uHdV1zc7PWrFmjd999N5inBQDEOGeqMivViESWZQXOT6evGgDgGFao7u7u1jXXXKOLLrpIDz/8sE4//XTdfvvtsm17SNf/0z/9k/7xH/9RP/rRj4IqFgAQu+pavapv65ZlSbPGsVKNyOS84UNfNQDAkTCcOz/88MNat26dtmzZosLCQu3YsUNLlizRhRdeqFtuueWk1/7617/WkSNHdMkll4yoYABAbHJWqafmpiklyW24GuDESgLDylipBgD0GdZK9apVq3TjjTeqsLBQkjRnzhxdfvnlWrVq1Umv2759u77zne9o1apVcrlo4wYAHG9X/8rf7AJWqRG5SsY7x2q1DnmnHgAgtg054fb29qqsrEzz588fcPv8+fO1devWQa/r7OzUTTfdpB//+MeaNGnSkJ7L6/WqpaVlwAcAILaVVTvHadFPjcg1c2yGXJZ0tL1bdW1e0+UAACLAkEN1W1ubfD6fxowZM+D23NxcNTU1DXrdv/7rv+q0007TypUrh1zUAw88oKysrMBHUVHRkK8FAESnwJAyJn8jgqUkuTUlL02SVF5NXzUAYBih2uPxSJI6OjoG3N7W1qbk5OQTXrNu3To99thjuuiii7RmzRqtWbNGNTU1qqqq0po1a457LMe9996r5ubmwEdlZeVQywQARKFen1+7a/uOKCphpRoRriQwrIyddACAYQwqS0lJUUFBgSoqKgbcXlFRoWnTpp3wmqSkJC1fvlzPP/984Laqqiq53W6tXr1aF1xwgVJTU4+7zuPxBEI8ACD27a9vV7fPr7QktwrHpJguBzip4oIMPbetmpVqAICkYU7/vvzyy7V27Vp9/etfl8vlUldXl5555hnddtttgfvs3LlTe/bs0VVXXaWlS5dqzZo1Ax7jH/7hH5ScnHzc7QCA+FX2kSFlLpdluBrg5IqdYWUcqwUA0DCnf3/zm9/UoUOHdN111+mRRx7RlVdeqYSEBN11112B+zz++OO69dZbQ14oACB2lVc7/dRs/UbkK+6fUL/nSKt6fH7D1QAATBtWqJ4yZYo2btyo4uJivfbaazrvvPO0fv165ebmBu5TWlqqq6++etDHOPfcc3XWWWcFXzEAIOaU96/4lXCcFqJA4ZgUpXsS1OOzta+u3XQ5AADDLDsKDllsaWlRVlaWmpublZnJKgYAxJqzH3hFh5u79MTnz9LSKTmmywFO6fpfvq0PDjbqJzct1NULJ5ouBwAwCoaaQ4e1Ug0AQKg1d/TocHOXJGnWOFaqER2co9/KGFYGAHGPUA0AMGpXbV8omZidoqyURMPVAENTzLFaAIB+hGoAgFFOKCmmnxpRpKR/pZpjtQAAhGoAgFHO9llnOy0QDZxWhZqWLjW2dxuuBgBgEqEaAGDUsZVqBlEiemQkJ6ooJ0XSsen1AID4RKgGABjj99va5RynxUo1ogx91QAAiVANADCosrFDHd0+JSW4NCU3zXQ5wLA456rTVw0A8Y1QDQAwxumnnjUuXQluXpIQXYrHs1INACBUAwAMop8a0cyZWL+rtlU+v224GgCAKYRqAIAxzrZZjtNCNJqcm6bkRJe6evw60NBuuhwAgCGEagCAMaxUI5q5XZZmj6OvGgDiHaEaAGBER3evDh7tkMQZ1YheTAAHABCqAQBGfFjbJtuW8tI9ykv3mC4HCIrzhlAZK9UAELcI1QAAI8qr+1b2OJ8a0YyVagAAoRoAYER5DUPKEP2cf7+HGjvV0tVjuBoAgAmEagCAEWXVDClD9BuTlqSCzGRJ0oc1bAEHgHhEqAYAhJ1t28dWqtn+jSgX6KsmVANAXCJUAwDCrqalS82dPXK7LM0Ym266HGBEAn3V1fRVA0A8IlQDAMLOOdN3en6aPAluw9UAI+MM2ytnpRoA4hKhGgAQdmX9k5Jn00+NGOCsVO+qaZXfbxuuBgAQboRqAEDYOWf6cpwWYsG0/DQluV1q8/aqqqnTdDkAgDAjVAMAwm7n4WZJUsl4VqoR/RLdrsBsgDL6qgEg7hCqAQBh1dXj0/76dknSHEI1YkQxfdUAELcI1QCAsNpV0yq/LeWmJSk/w2O6HCAkSpwJ4DWsVANAvCFUAwDCytkeWzI+U5ZlGa4GCI3ASnU1K9UAEG8I1QCAsNoZCNUMKUPscCaA729oV2e3z3A1AIBwIlQDAMLqoyvVQKzIz/AoLz1Jti19WMtqNQDEE0I1ACBsbNsObI8tnUCoRmwppq8aAOISoRoAEDaHGjvV6u1Vktul6fnppssBQqq4oK+loYy+agCIK4RqAEDYOP3UM8amK9HNSxBiS/F4VqoBIB7xFw0AIGx2HqafGrHLWakur2mVbduGqwEAhAuhGgAQNs6QMvqpEYtmjE2X22WpqaNHtS1e0+UAAMKEUA0ACJuyGo7TQuxKTnRrWl6apGP/1gEAsY9QDQAIi9auHlUe7ZQklbL9GzHK6at2Wh0AALGPUA0ACIvymr6JyOOzkpWdmmS4GmB0OG8YOa0OAIDYR6gGAISFs3LHKjVimTMvYCehGgDiBqEaABAWzsodk78Ry5w3jfbXt6uju9dwNQCAcCBUAwDCglCNeJCf4VF+hke2fazlAQAQ2wjVAIBR1+vzBwIGk78R60oZVgYAcYVQDQAYdQca2uXt9Ssl0a3JuWmmywFGFX3VABBfCNUAgFG3s7pvlbp4fIbcLstwNcDoYqUaAOILoRoAMOrop0Y8cVaqy2ta5PPbhqsBAIw2QjUAYNQRqhFPpuSmKSXRra4ev/bXt5suBwAwygjVAIBR54TqUoaUIQ64XZaK+/+t01cNALGPUA0AGFUNbV7VtnhlWdLsAlaqER/oqwaA+EGoBgCMqrL+IWWTc1KV7kkwXA0QHkwAB4D4QagGAIwq+qkRj1ipBoD4QagGAIwqQjXiUXFBplyWVN/m1ZHWLtPlAABGEaEaADCqdhKqEYdSktyampcmidVqAIh1hGoAwKjx9vq050ibpGM9pkC8KJ2QJYm+agCIdYRqAMCo2XOkTb1+W5nJCZqQlWy6HCCs6KsGgPhAqAYAjBpn8nfJ+ExZlmW4GiC8mAAOAPGBUA0AGDXbq5olSXP6t8EC8cRZqd5f366O7l7D1QAARguhGgAwapxtr3Pop0Ycys/wKD/DI9uWymtaTZcDABglhGoAwKjw++3Attc5EwnViE/0VQNA7CNUAwBGRcXRDrV5e+VJcGlGfrrpcgAj5tBXDQAxj1ANABgV2w/39VMXF2Qowc3LDeJTYFgZK9UAELP4KwcAMCp29IeIUoaUIY4527/La1rk89uGqwEAjAZCNQBgVOxgSBmgyblpSk1yq6vHr/31babLAQCMAkI1ACDkbNvWzv7t33MnslKN+OV2WSouyJB07I0mAEBsIVQDAELuSKtX9W3dAwIFEK9KGVYGADGNUA0ACLntVX2r1NPz05Sc6DZcDWBW6fi+3RoMKwOA2ESoBgCE3LF+arZ+Ax+dAG7bDCsDgFhDqAYAhNyO/n5qhpQB0uxxGXJZUkN7t+pavabLAQCEGKEaABByrFQDx6QkuTUtP10Sw8oAIBYRqgEAIdXU0a1DjZ2Sjm17BeLdHIaVAUDMIlQDAELKGcZUlJOirJREw9UAkWFu/66NbYeaDVcCAAg1QjUAIKQCW7/Hs/UbcMyZ2LdSvf0woRoAYg2hGgAQUs6QsrkT2foNOJz5AocaO9XU0W24GgBAKBGqAQAhtZ0hZcBxslISNTk3VZK0vYq+agCIJYRqAEDIdHb7tK+uTRLHaQEf5/RVswUcAGILoRoAEDJlNS3y21JeukdjM5NNlwNElEBfdRWhGgBiCaEaABAyzpAy+qmB4zkr1ZxVDQCxhVANAAiZHf0rcGz9Bo43d2JfqN5f366Wrh7D1QAAQoVQDQAImR0MKQMGlZOWpInZKZKOnecOAIh+hGoAQEj0+PzaVdMqiZVqYDDO/w36qgEgdhCqAQAhsedIm7p9fmUkJ2hSTqrpcoCING8ifdUAEGsI1QCAkHBW3krHZ8qyLMPVAJHJ6avexko1AMQMQjUAICSOTf6mnxoYjHOs1t66NnV09xquBgAQCoRqAEBIbD3UJEmaX0ioBgYzNiNZYzM8sm2prJot4AAQCwjVAIAR6/X5tbM/IMxjpRo4Kef/yLZDbAEHgFhAqAYAjNieujZ19fiV7knQlNw00+UAEW1Of6jezrAyAIgJhGoAwIht7V9xmzsxUy4XQ8qAk5nLsVoAEFMI1QCAEXO2sc4vzDZbCBAF5vXPHdh9pE1dPT7D1QAARopQDQAYsa39K270UwOnVpCZrNy0JPn8tsprWk2XAwAYIUI1AGBEenz+wBRjQjVwapZlHeurZgs4AEQ9QjUAYEQ+rG1Vd69fGckJmpybarocICrQVw0AsYNQDQAYkWP91FmyLIaUAUPhnOe+hWO1ACDqEaoBACNyrJ8622whQBRxhvp9WNuqzm6GlQFANCNUAwBG5KMr1QCGZnxWsvLSPfL5be2sZrUaAKIZoRoAEDRvr0/lNQwpA4bLsiwtcLaAVxKqASCaJQz3gsrKSv3yl7/UwYMHNXPmTH3pS19SXl7eoPf3+Xxau3atXn/9dfX09Gjp0qW67bbblJiYOKLCAQDmfVjTph6frezURBWOSTFdDhBV5hdm65XyI9p6qMl0KQCAERjWSvWBAwe0aNEilZWV6cILL9Sbb76pJUuWqKGhYdBrzjnnHK1Zs0bFxcVauHChfvSjH+mCCy5Qd3f3iIsHAJi1tapJUt8qNUPKgOGZX9S3Ur2VYWUAENWGtVJ9//33q7CwUE8++aRcLpduueUWzZgxQw899JC++93vnvCaNWvWqLCwMPD5lVdeqcmTJ+v555/XNddcM6LiAQBm0U8NBG9B/7CyffXtau7sUVYKu/gAIBoNa6X6+eef17XXXiuXq++y5ORkLV++XM8///yg13w0UEtSQUGBEhMT1djYGES5AIBIsi0w+ZtQDQxXTlpSoG2C86oBIHoNOVR3dnaqpqZGkyZNGnD7pEmTtG/fviE/4a9+9StJ0kUXXTTofbxer1paWgZ8AAAiS1ePT7tqWiVJ8/pX3AAMj7NavYW+agCIWkMO1V6vV5KUmpo64Pb09HR1dXUN6TFef/113X333XrwwQc1ZcqUQe/3wAMPKCsrK/BRVFQ01DIBAGFSXtOqXr+t3LQkTchKNl0OEJWc1omtTAAHgKg15FCdnp4ut9t93LbthoYGZWdnn/L6t99+W8uXL9c999yjO++886T3vffee9Xc3Bz4qKysHGqZAIAw2da/sjavkCFlQLDm969UMwEcAKLXkAeVJSQkqKSkRFu3bh1w+9atWzV//vyTXvvOO+9o2bJl+vKXv6z777//lM/l8Xjk8XiGWhoAwABnYjH91EDw+t6Ukg43d6mu1av8DP7+AYBoM6xBZTfffLMef/xxHTp0SJK0Y8cOvfDCC7r55psD93n88cd12223BT5/7733tGzZMv3rv/6rvve974WobACAaU4P6Hz6qYGgpXsSND0/XRKr1QAQrYZ1pNZXvvIVvf3221qwYIEWLlyo9evXa+XKlbrlllsC99m5c6eeeuqpwOfLly+X3+9XeXm5rr/++sDtK1as0IoVK0LwLQAAwq3N26vdR9okSQuKWKkGRmJ+YZb2HGnTlkPNurhknOlyAADDNKxQnZSUpKeeekpbtmxRRUWFZsyYoZKSkgH3WbFihRYtWhT4/Ne//rV8Pt9xj1VaWhpkyQAA07YeapJtSxOzUzQ2gyFlwEgsKMzW2o1VrFQDQJQaVqh2LFiwQAsWLDjh10pLSwcE5k996lPBVQYAiFibK5skSQuLso3WAcQCZwL4tkPNsm2bwX8AEGWG1VMNAIAkba5okkSoBkKhZHymElyWGtq7VdXUabocAMAwEaoBAMPmDClbOCnbaB1ALEhOdKt4fIakY1P1AQDRg1ANABiW6uZO1bZ45XZZmjuBIWVAKDhT9LfQVw0AUYdQDQAYFmfr9+xxGUpJcpstBogRC/r7qrf0zysAAEQPQjUAYFg2s/UbCLmFRWMk9Q0r8/ltw9UAAIaDUA0AGBaGlAGhN2NsutI9CWrv9unD2lbT5QAAhoFQDQAYMp/f1raqvkFKpxGqgZBxuywtKOrbAr6p/40rAEB0IFQDAIbsw9pWdXT7lO5J0LT8dNPlADFl0aS+LeCbKhoNVwIAGA5CNQBgyJwhSvMLs+R2WWaLAWLMaf1zCjYSqgEgqhCqAQBDtrk/VNNPDYSeM6xsb127mjt6DFcDABgqQjUAYMgI1cDoyUlL0pTcVEnHpuwDACIfoRoAMCTt3t7AVGJCNTA6nL7qjQfZAg4A0YJQDQAYki2VTfLb0sTsFI3NTDZdDhCTnL7qTf27QgAAkY9QDQAYkg39K2eLJ48xXAkQu07rX6neXNEov982XA0AYCgI1QCAIdlQQagGRltxQYaSE11q6erVvvo20+UAAIaAUA0AOCW/3w70eBKqgdGT4HZpfmG2JGljRZPRWgAAQ0OoBgCc0p66NrV09So1ya3iggzT5QAxLdBXTagGgKhAqAYAnJLTT72wKFsJbl46gNF0Wv951ZsqmAAOANGAv4wAAKfEkDIgfBb1r1Tvqm1Vm7fXbDEAgFMiVAMATsnpp15EqAZG3djMZE3MTpFts1oNANGAUA0AOKmj7d3aV98uSVpURKgGwmHplL7/ax8cIFQDQKQjVAMATsrZ+j1zbLqyUhMNVwPEhyVTciRJHxw8argSAMCpEKoBACdFPzUQfkv7Q/XGg03q8fkNVwMAOBlCNQDgpOinBsJv5th0ZaUkqrPHp52HW0yXAwA4CUI1AGBQ3b1+bTnUJImVaiCcXC5LS/r/z60/wBZwAIhkhGoAwKB2VrfI2+tXdmqipuWlmS4HiCuBvmqGlQFARCNUAwAG9UH/CtniSWNkWZbhaoD44kwAX3/gqGzbNlwNAGAwhGoAwKDe398XqpdOzTFcCRB/5hVmKSnBpYb2bu3vP9YOABB5CNUAgBPy+229379SfQahGgg7T4JbCwuzJbEFHAAiGaEaAHBCHx5pVVNHj1KT3Jo7Mct0OUBcWjKFYWUAEOkI1QCAE3K2fi+ePEaJbl4uABOc86oJ1QAQufgrCQBwQu/t6/sj/vQpbP0GTFk0eYwsSzrQ0KEjrV2mywEAnAChGgBwHNu29d7+BknSGdNyDVcDxK+slETNHpchSdpAXzUARCRCNQDgOPvq21Xf1q2kBJcWFNFPDZjkbAF/bz9bwAEgEhGqAQDHcbZ+n1aULU+C23A1QHw7Y1pfqH53X4PhSgAAJ0KoBgAch63fQOQ4s///YXlNq462dxuuBgDwcYRqAMAAtm0HVqrP5HxqwLi8dE+gr5rVagCIPIRqAMAAlUc7VdPSpUS3pdMmjTFdDgBJZ03vW61+Zy+hGgAiDaEaADDAu/1bv+cXZisliX5qIBI4W8DfYaUaACIOoRoAMMD7/ROGT2frNxAxzpyWI8uS9hxp05EWzqsGgEhCqAYABNi2HejZPINQDUSM7NQklY7PlMRqNQBEGkI1ACCg4miHDjV2KsFlBc7GBRAZzurfAs6wMgCILIRqAEDAuj19f6wvmjRGaZ4Ew9UA+KizZ/SF6rcZVgYAEYVQDQAIWLenXpJ0zow8w5UA+LilU3Lkdlk62NChqqZO0+UAAPoRqgEAkiS/39bbe/tC9bkzcw1XA+DjMpITNW9iliSO1gKASEKoBgBIknZWt6ixo0dpSW7NL8w2XQ6AE+C8agCIPIRqAICkY1u/z5yWq0Q3Lw9AJHKGlb2zt162bRuuBgAgEaoBAP3eop8aiHhLp+Qoye3S4eYu7atvN10OAECEagCAJG+vT+sPHJVEqAYiWUqSW0unjpEkvfFhneFqAAASoRoAIGnjwSZ19fiVl+7RrHHppssBcBIXzMqXJL1OqAaAiECoBgDojd19f5yfOyNXlmUZrgbAyZzfH6rf3degrh6f4WoAAIRqAID+Xn5EknRR8VjDlQA4ldnjMjQu06OuHr8+ONBouhwAiHuEagCIczXNXSqvaZVlSefNzDddDoBTsCwr8H/19Q+PGK4GAECoBoA499quvj/KFxRmKyctyXA1AIbC6at+48N6w5UAAAjVABDnXtvV10990Wy2fgPR4twZebIsaVdtq2qau0yXAwBxjVANAHGsu9cfOJ/6wtls/QaixZi0JM0vzJbE0VoAYBqhGgDi2IaDjWrz9io3LUnzJmaZLgfAMFzYvwX81XL6qgHAJEI1AMQxp5/6gln5crk4SguIJpeUjJPUdyQeR2sBgDmEagCIY04/9YUcpQVEnbkTMzUu06OObp/e2ddguhwAiFuEagCIUwcb2rWrtlVul6XzZ+aZLgfAMFmWFVit/tvOWsPVAED8IlQDQJx6aUffH+FnTM1RdipHaQHR6JLS/lBdVivbtg1XAwDxiVANAHHqpZ01kqTL5hQYrgRAsM6alqvUJLdqW7zaXtViuhwAiEuEagCIQ3WtXn1wsFGSdGn/SheA6JOc6Nb5M/umgL9cxhZwADCBUA0AceiVslrZtjS/MEsTslNMlwNgBAJbwOmrBgAjCNUAEIf+uqNv6/cnWaUGot4nisfKZUk7q1tU0dBhuhwAiDuEagCIM61dPVq3p+/4HfqpgeiXk5akM6flSpKe21ZtuBoAiD+EagCIM6/tqlO3z6+peWmaMTbddDkAQuAf5k+QJD279bDhSgAg/hCqASDOOH90L5tbIMuyDFcDIBSWzS2Q22Vpx+EW7a9vN10OAMQVQjUAxJHmjh79vbxOknT1wgmGqwEQKjlpSTp7et8W8Ge3sFoNAOFEqAaAOPLijmp1+/yaPS5DxQWZpssBEELL+7eA01cNAOFFqAaAOPLU5r4VrKtYpQZizmVzCpTotlRe06o9R1pNlwMAcYNQDQBxoralS+/s65v6fdUCQjUQa7JSE3XezHxJ0tNbWK0GgHAhVANAnHhmy2HZtrRk8hgV5aSaLgfAKHBmJTy54ZD8fttwNQAQHwjVABAnnK3fDCgDYtdlcwqUkZygqqZOvb23wXQ5ABAXCNUAEAfKa1q0rapZCS5LV8wbb7ocAKMkOdEdeOPs8Q8qDVcDAPGBUA0AcWD1+31/XF9aOk656R7D1QAYTTcumSRJenFHjZo7egxXAwCxj1ANADGuq8entRsPSZJuOn2S4WoAjLa5EzNVMj5T3b1+/WVzlelyACDmEaoBIMa9sL1aLV29mpidonNn5JkuB8AosyxLK5YUSmILOACEA6EaAGLcH96tkCStWFIkt8syXA2AcLhm4UQluV3acbhFmyubTJcDADGNUA0AMWxzZZM2HGxUotvSytOLTJcDIEzGpCVpef959L99a7/hagAgthGqASCG/W5d3x/Ty+dP0NjMZMPVAAin/3XOFEnS89uqVd3cabYYAIhhhGoAiFE1zV16bmu1JOmz5041XA2AcJs7MUtnTM1Rr9/WY+8cNF0OAMQsQjUAxKjfvLlPvX5bp0/N0dyJWabLAWCA84baH989qOZOjtcCgNFAqAaAGFTX6tUf3utbmfriRTMMVwPAlEtLxmnWuHS1dPXq9+sOmC4HAGISoRoAYtD/fWOvunr8WliUrfNncowWEK9cLktf/sRMSdKjb+1TSxer1QAQaoRqAIgxNc1dgWO07rhkpiyLY7SAeHbFvPGaMbZvtfo3bzIJHABCjVANADHmwRfL1dnj0+LJY3ThrHzT5QAwzO2ydNelsyT17WI53MQkcAAIJUI1AMSQTRWNWrupSpL0reWlrFIDkCRdPrdAp0/JUVePXz94odx0OQAQUwjVABAjunv9+sZT2yVJ1y8u1PzCbLMFAYgYlmXpm8tLZVnS01sO663d9aZLAoCYQagGgBjx81d3a3tVi7JTE3XPstmmywEQYeZOzNItZ06WJN29ZgtHbAFAiBCqASAGfHDgqH7x2l5J0nevmauxGcmGKwIQif7t8mJNzUtTdXOXvv4/22TbtumSACDqDTtUP/bYY5o1a5Y8Ho/mzp2rZ555ZlSuAQAMzYH6dn1u1Qb5/LauXjhB/zB/gumSAESo1KQE/XjFArldlp7dWq2fvLLbdEkAEPWGFapffPFF3X777brvvvtUU1Ojz372s7r22mu1YcOGkF4DABiayqMd+szv3tfR9m7Nm5ilB66dZ7okABFu0aQxuv/quZKkh/+2W79bxzFbADASlj2MfT+XXHKJMjMztXbt2sBtS5cuVXFxsVatWhWyaz6upaVFWVlZam5uVmZm5lDLBYCY9vaeen3pvzfpaHu3Jman6H++eDbbvgEM2YMvlus/+9tGbj5zku67slTJiW7DVQFA5BhqDk0Y6gPatq13331X3//+9wfcfvHFF+uJJ54I2TXRqtfn18s7a4O6diTdTCNphbJH8Mwje94RXGuo9ysqf84Gfkcj+f2M6Dcbjb+f4C+Vt8en1z+s09931UmS5k3M0iO3LiFQAxiWuy+brcyURP37i+X6w7sVeqXsiK5fXKgpuWlKSXLLxYl8AEbRjLHpmjE2w3QZITHkUN3a2qr29nbl5+cPuH3s2LGqqakJ2TWS5PV65fV6A5+3tLQMtUxjvL1+feGPG02XASCOWJa08vRJ+saVpUpJYnUJwPBYlqXPXzBds8al6+v/s13VzV362at7TJcFIE585ZJZuuOSOAvVg7FtW5Y1vLcyT3XNAw88oO985zsjLS2sXJalpVPGBH29pRG8HWzmUg3z1/6x5w3+4hE9bxTWPBLD/b854NoRPe8Irg36OaPvew32mV2WVDw+U586baKm5qWNpAAA0CeKx+nvX8vT89uq9ebuetW3edXV4xvRbhwAOJXx2bGzw27IoTojI0NpaWmqq6sbcHtdXZ3GjRsXsmsk6d5779Vdd90V+LylpUVFRUVDLdWIlCS3nvj82abLAAAAGLbkRLeuXVSoaxcVmi4FAKLOkKd/W5alM888U3//+98H3P7qq6/q7LNPHCaDuUaSPB6PMjMzB3wAAAAAABBphnWk1te+9jU9++yzeuyxx9TY2KiHHnpImzZt0p133hm4z7e//W1lZ2cP6xoAAAAAAKLRsEL1smXL9Oijj+r+++9XQUGBHn30UT355JNavHhxSK8BAAAAACAaDOucalM4pxoAAAAAEE5DzaHDWqkGAAAAAADHEKoBAAAAAAgSoRoAAAAAgCARqgEAAAAACBKhGgAAAACAIBGqAQAAAAAIEqEaAAAAAIAgEaoBAAAAAAgSoRoAAAAAgCARqgEAAAAACBKhGgAAAACAIBGqAQAAAAAIEqEaAAAAAIAgEaoBAAAAAAgSoRoAAAAAgCARqgEAAAAACBKhGgAAAACAIBGqAQAAAAAIEqEaAAAAAIAgEaoBAAAAAAgSoRoAAAAAgCARqgEAAAAACBKhGgAAAACAIBGqAQAAAAAIEqEaAAAAAIAgEaoBAAAAAAgSoRoAAAAAgCARqgEAAAAACBKhGgAAAACAIBGqAQAAAAAIEqEaAAAAAIAgEaoBAAAAAAgSoRoAAAAAgCARqgEAAAAACBKhGgAAAACAIBGqAQAAAAAIEqEaAAAAAIAgEaoBAAAAAAgSoRoAAAAAgCARqgEAAAAACBKhGgAAAACAIBGqAQAAAAAIEqEaAAAAAIAgEaoBAAAAAAhSgukChsK2bUlSS0uL4UoAAAAAAPHAyZ9OHh1MVITq1tZWSVJRUZHhSgAAAAAA8aS1tVVZWVmDft2yTxW7I4Df79fhw4eVkZEhy7JMlzOolpYWFRUVqbKyUpmZmabLAQCA1yYAQESJptcl27bV2tqqCRMmyOUavHM6KlaqXS6XCgsLTZcxZJmZmRH/DwQAEF94bQIARJJoeV062Qq1g0FlAAAAAAAEiVANAAAAAECQCNUh5PF49K1vfUsej8d0KQAASOK1CQAQWWLxdSkqBpUBAAAAABCJWKkGAAAAACBIhGoAAAAAAIJEqAYAAAAAIEhRcU61ab29vdqzZ48OHjyorq4uFRYWav78+UpMTDzltevXr5ckLV26dLTLBAAgwLZtbdq0SRUVFcrIyNCSJUuGdNYmAABDdeTIEe3du1fV1dXKzMzU/PnzNXbs2FNe19raqueee07XXXfdkDJVpCNUn8TevXv1/e9/X0899ZQaGhoGfC0/P1/33HOPvvrVr8qyrEEf49e//rUkQjUAIHxeeeUVfe5zn9O+ffsCt3k8Hn3xi1/UD37wg5j4AwYAYM5Pf/pT/eEPfwgsIDosy9IVV1yhn/3sZ5o6deqg11dVVWnlypVqbGxUdnb2KFc7+gjVJ7F+/Xr99re/VVJSkubMmaOpU6eqs7NTW7duVV1dne6++27V1NToRz/6UeCa6upqZWVlKTU19YSP2dHRoZaWFhUUFITr2wAAxJG33npLV1xxhbq7u1VQUKDTTz9d1dXVWr9+vf7jP/5D9fX1+q//+i/TZQIAotiDDz6oqqoqTZgwQdOnT9eYMWNUUVGhzZs367nnntOGDRu0adOmAZln7969mj59+qCPeaqvRzJ6qk9ixowZ+vOf/6yjR49q+/bteuaZZ/S3v/1NlZWV+spXviJJeuihh3To0KHANd/+9rc1e/Zs/elPfzru8f70pz9p9uzZ+ta3vhW27wEAED/8fr8+//nPq7u7W1dddZX279+vp556Su+//77Wrl0rl8ulxx57TK+++qrpUgEAUezuu+9WeXm5qqqq9MYbb+ipp57Spk2btH79euXk5KimpkY//OEPA/cvKytTaWmpbr/9dtXW1g54rAMHDmjFihWaP3++ampqwv2thATnVAfJtm3l5uaqsbFRa9eu1ac+9SlJfX/Q/PGPf9R3vvMdjRs3TgkJfZsBenp6dOTIEX3rW9/Spz/9ablcx7+f0dXVpY0bN6q2tlZ5eXkqKSlRXl5eWL8vAED0euONN3TBBRcoJSVFFRUVx72GfPazn9Xvfvc7rVixQn/+858NVQkAiGXf/e539Y1vfENnn3221q1bF7h99+7d+va3v63nn39e//iP/6j//M//1B133KHf/va3Wrlypb7xjW+osLDwhI+5Z88e7d69Wz6fT9OnT9fs2bNPmKdMiZxKooxlWYH9/+np6YHbXS6XbrnlFpWXl+vSSy/VG2+8oTfeeEOXXXaZysvLdcsttxz3D6C9vV133HGHcnJydM455+jaa6/V+eefr4KCAt1www3HvZsDAMCJvPTSS5KkT37ykyd8U/amm24acD8AAEItJydH0sCMJEkzZ87UH//4R73xxht65plnJPW9Hm3evFm//vWvTxion3vuOc2dO1czZ87UFVdcoeXLl6u0tFSzZs2KqDeHCdVBevPNN7V//35lZ2cfN4Ssrq5O99xzj37yk59o0qRJmjRpkh5++GHdc889qqurG3Df9vZ2nX/++frpT3+qzs5OlZaW6pprrtH555+vnJwcrVmzRrt37w7ntwYAiFI7duyQJC1atOiEX1+8eLEkqampSYcPHw5bXQCA+NDb2xtog/3kJz854Gu2bWvt2rVauXJlYP6U3+/XypUrT/hm7yOPPKLly5drx44dysrK0qWXXqrly5erpKRE+/fv13//93+P/jc0RAwqG4Le3l6tWbNGUt8fIps2bdKqVauUlJSkRx55ZMDEup/85Ce67777tGzZMm3evFn333+/JOm+++7T3XffrWnTpum73/2u7rjjDknSN7/5TW3cuFF5eXn685//rE984hOBx/L5fFq7di1DzQAAQ+L0ok2cOPGEX8/NzZXH45HX61Vtba0mTJgQzvIAADHmgw8+0J49e9TT06PKykr96U9/0o4dO/TJT35SX/ziFwP327t3r2688UbV1tbq3//937Vo0SKVlJRo3bp1euKJJ/TpT39apaWleuKJJzR27FgdPHhQX/rSl2Tbtr7whS/ohz/8odLS0gY83scnj5tEqB6Crq4urVy5csBtkydP1urVq3XmmWcOuH3OnDl67rnndP755w+4fcqUKXriiSf0xhtvqKenR1JfWH/kkUckSb/5zW8GBGpJcrvduuGGG0L97QAAYlRHR4ckKSUlZdD7pKamyuv1qr29PVxlAQBi1G9+85vAEcJSX4vsPffco+9973uB2VKSVFRUpE9/+tP6l3/5F6Wmpqq8vFxSX975/Oc/r5tuukm///3vlZ+fL0l69NFH1d3drfPOO0+/+MUvjjvCePr06RE1KTxuQ/Xu3bu1YcOG424/66yzNHny5AG3JSYm6sYbb5QkHT16VLt27dLBgwd1/vnn64c//GFg1VmSLrnkkpM+70fD9o4dO9Ta2qqcnBxdddVVI/l2AACQx+ORpMCbtyfi9XoH3BcAgGAtXbpUTU1N8nq9Onz4sDZu3KgHH3xQb7/9th5//HGNHz9ekpSUlBQ4PelEsrOzdeeddwY+f+eddyRJt91223GBOhLFbaj+61//qi9/+cvH3b5q1arjQrXH49Hq1asDn9u2rTVr1uiWW27RnXfeqdLSUl166aUnfJ7TTz990Brq6+sl9b1zEw3/WAAAkc1pR3JeXz6us7MzsJo9ZsyYcJUFAIhRt99+u26//fbA51VVVbr55pv12muv6TOf+Yz++te/nvC6zMxM3XjjjUpKSjrh153XsY/nskgVt6F61qxZgdXnj5oyZcopr7UsSzfccIPefPNN/exnP9N///d/DxqqP/e5zw36OE5fQFNT05BqBgDgZGbPnq2XX35ZO3fuPOHXne12SUlJQ3q9AwBgOCZOnKj/+q//0uTJk/XSSy/p6NGjgWngHzVhwoQBi5YfF205KW5D9Sc/+cnjJtIN17hx4yRJDQ0NQV1fUlIit9utgwcPateuXZo9e/aI6gEAxLdzzz1XP//5z/XXv/5Vvb29A/rZJOnZZ5+V1LeL6uNfAwAgFPLz82VZlmzbVkNDwwlD9anMnTtX69at00svvaTrr79+FKoMLY7UOoldu3YN+rWamho9+uijkqT58+cH9fhZWVm6/PLLJUn//M//rLa2tuPu09TUpMbGxqAeHwAQX6644gplZWWpqqpKP/3pTwd87aO3ffrTnzZRHgAgBhw+fFitra2Dfv373/++bNtWZmZm0Nu3nSHRv/vd7wbdQr5///6gHns0WLZt26aLiFRz586Vbdu67LLLVFRUpNzcXDU0NGjLli168skn1dbWppycHG3bti3oY0nKy8t1+umnq7W1VUVFRbr11ls1a9YsHT16VNu2bdPjjz+uF154Qeeee26IvzsAQCx66KGHdNddd8myLN1222264IILVF1drV/84heqqqpSSUmJNm/ePGgfGwAAJ/P73/9eX/rSl3TVVVeppKREhYWF6unp0aFDh7R27Vrt2LFDkvTd735XX//614N+npUrV2r16tVyu9269tprddFFFyk5OVl79+7Vs88+qylTpugvf/lLiL6rkSFUn8SNN96oJ554QoP9iBYsWKBVq1Zp3rx5I3qe9957TzfddJMOHDhw3Neys7O1bt06lZaWjug5AADx46tf/aoeeuih416/SkpK9Nxzz2nq1KmGKgMARLuXX35ZN95446C7aVNSUnTffffp//yf/zOi5/F6vfriF7+o3/72tyfMY3fddZd+/OMfj+g5QoVQfQqVlZV67rnntHfvXtXU1CglJUVTpkzRBRdcoLPPPjtkU7t7enr09NNPa926daqvr9e4ceM0d+5cXX/99QMOOgcAYCg2b96sJ598UpWVlUpPT9c555yja6+9lqO0AAAj1tPTo5dfflkbNmxQRUWFuru7lZ+frwULFujKK68Mqo96MDt37tTTTz+t3bt3y+12a9q0abryyitHvLAZSoRqAAAAAACCxKAyAAAAAACCRKgGAAAAACBIhGoAAAAAAIJEqAYAAAAAIEiEagAAAAAAgkSoBgAAAAAgSIRqAAAAAACCRKgGAAAAACBIhGoAAAAAAIJEqAYAAAAAIEiEagAAAAAAgkSoBgAAAAAgSIRqAAAAAACCRKgGAAAAACBI/w+tbivgaZRWDAAAAABJRU5ErkJggg==", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "c = 4.685\n", "support = np.linspace(-3 * c, 3 * c, 1000)\n", "tukey = norms.TukeyBiweight(c=c)\n", "plot_weights(support, tukey.weights, [\"-3*c\", \"0\", \"3*c\"], [-3 * c, 0, 3 * c])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Scale Estimators" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "* Robust estimates of the location" ] }, { "cell_type": "code", "execution_count": 19, "metadata": { "execution": { "iopub.execute_input": "2026-07-30T06:35:42.642387Z", "iopub.status.busy": "2026-07-30T06:35:42.642151Z", "iopub.status.idle": "2026-07-30T06:35:42.647266Z", "shell.execute_reply": "2026-07-30T06:35:42.645904Z" } }, "outputs": [], "source": [ "x = np.array([1, 2, 3, 4, 500])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "* The mean is not a robust estimator of location" ] }, { "cell_type": "code", "execution_count": 20, "metadata": { "execution": { "iopub.execute_input": "2026-07-30T06:35:42.649681Z", "iopub.status.busy": "2026-07-30T06:35:42.649428Z", "iopub.status.idle": "2026-07-30T06:35:42.657038Z", "shell.execute_reply": "2026-07-30T06:35:42.655647Z" } }, "outputs": [ { "data": { "text/plain": [ "np.float64(102.0)" ] }, "execution_count": 20, "metadata": {}, "output_type": "execute_result" } ], "source": [ "x.mean()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "* The median, on the other hand, is a robust estimator with a breakdown point of 50%" ] }, { "cell_type": "code", "execution_count": 21, "metadata": { "execution": { "iopub.execute_input": "2026-07-30T06:35:42.659467Z", "iopub.status.busy": "2026-07-30T06:35:42.659241Z", "iopub.status.idle": "2026-07-30T06:35:42.666655Z", "shell.execute_reply": "2026-07-30T06:35:42.665188Z" } }, "outputs": [ { "data": { "text/plain": [ "np.float64(3.0)" ] }, "execution_count": 21, "metadata": {}, "output_type": "execute_result" } ], "source": [ "np.median(x)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "* Analogously for the scale\n", "* The standard deviation is not robust" ] }, { "cell_type": "code", "execution_count": 22, "metadata": { "execution": { "iopub.execute_input": "2026-07-30T06:35:42.668917Z", "iopub.status.busy": "2026-07-30T06:35:42.668661Z", "iopub.status.idle": "2026-07-30T06:35:42.676108Z", "shell.execute_reply": "2026-07-30T06:35:42.674771Z" } }, "outputs": [ { "data": { "text/plain": [ "np.float64(199.00251254695254)" ] }, "execution_count": 22, "metadata": {}, "output_type": "execute_result" } ], "source": [ "x.std()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Median Absolute Deviation\n", "\n", "$$ median_i |X_i - median_j(X_j)|) $$" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Standardized Median Absolute Deviation is a consistent estimator for $\\hat{\\sigma}$\n", "\n", "$$\\hat{\\sigma}=K \\cdot MAD$$\n", "\n", "where $K$ depends on the distribution. For the normal distribution for example,\n", "\n", "$$K = \\Phi^{-1}(.75)$$" ] }, { "cell_type": "code", "execution_count": 23, "metadata": { "execution": { "iopub.execute_input": "2026-07-30T06:35:42.678629Z", "iopub.status.busy": "2026-07-30T06:35:42.678361Z", "iopub.status.idle": "2026-07-30T06:35:42.685960Z", "shell.execute_reply": "2026-07-30T06:35:42.684609Z" } }, "outputs": [ { "data": { "text/plain": [ "np.float64(0.6744897501960817)" ] }, "execution_count": 23, "metadata": {}, "output_type": "execute_result" } ], "source": [ "stats.norm.ppf(0.75)" ] }, { "cell_type": "code", "execution_count": 24, "metadata": { "execution": { "iopub.execute_input": "2026-07-30T06:35:42.688368Z", "iopub.status.busy": "2026-07-30T06:35:42.688142Z", "iopub.status.idle": "2026-07-30T06:35:42.694154Z", "shell.execute_reply": "2026-07-30T06:35:42.692683Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[ 1 2 3 4 500]\n" ] } ], "source": [ "print(x)" ] }, { "cell_type": "code", "execution_count": 25, "metadata": { "execution": { "iopub.execute_input": "2026-07-30T06:35:42.696493Z", "iopub.status.busy": "2026-07-30T06:35:42.696262Z", "iopub.status.idle": "2026-07-30T06:35:42.704213Z", "shell.execute_reply": "2026-07-30T06:35:42.702654Z" } }, "outputs": [ { "data": { "text/plain": [ "np.float64(1.482602218505602)" ] }, "execution_count": 25, "metadata": {}, "output_type": "execute_result" } ], "source": [ "sm.robust.scale.mad(x)" ] }, { "cell_type": "code", "execution_count": 26, "metadata": { "execution": { "iopub.execute_input": "2026-07-30T06:35:42.707319Z", "iopub.status.busy": "2026-07-30T06:35:42.706169Z", "iopub.status.idle": "2026-07-30T06:35:42.714393Z", "shell.execute_reply": "2026-07-30T06:35:42.712971Z" } }, "outputs": [ { "data": { "text/plain": [ "np.float64(1.4142135623730951)" ] }, "execution_count": 26, "metadata": {}, "output_type": "execute_result" } ], "source": [ "np.array([1, 2, 3, 4, 5.0]).std()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Another robust estimator of scale is the Interquartile Range (IQR)\n", "\n", "$$\\left(\\hat{X}_{0.75} - \\hat{X}_{0.25}\\right),$$\n", "\n", "where $\\hat{X}_{p}$ is the sample p-th quantile and $K$ depends on the distribution. " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The standardized IQR, given by $K \\cdot \\text{IQR}$ for\n", "$$K = \\frac{1}{\\Phi^{-1}(.75) - \\Phi^{-1}(.25)} \\approx 0.74,$$\n", "is a consistent estimator of the standard deviation for normal data." ] }, { "cell_type": "code", "execution_count": 27, "metadata": { "execution": { "iopub.execute_input": "2026-07-30T06:35:42.716909Z", "iopub.status.busy": "2026-07-30T06:35:42.716663Z", "iopub.status.idle": "2026-07-30T06:35:42.722369Z", "shell.execute_reply": "2026-07-30T06:35:42.721367Z" } }, "outputs": [ { "data": { "text/plain": [ "array(1.48260222)" ] }, "execution_count": 27, "metadata": {}, "output_type": "execute_result" } ], "source": [ "sm.robust.scale.iqr(x)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The IQR is less robust than the MAD in the sense that it has a lower breakdown point: it can withstand 25\\% outlying observations before being completely ruined, whereas the MAD can withstand 50\\% outlying observations. However, the IQR is better suited for asymmetric distributions." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Yet another robust estimator of scale is the $Q_n$ estimator, introduced in Rousseeuw & Croux (1993), 'Alternatives to the Median Absolute Deviation'. Then $Q_n$ estimator is given by\n", "$$\n", "Q_n = K \\left\\lbrace \\vert X_{i} - X_{j}\\vert : i]" ] }, "execution_count": 30, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "kde = sm.nonparametric.KDEUnivariate(fat_tails)\n", "kde.fit()\n", "fig = plt.figure(figsize=(12, 8))\n", "ax = fig.add_subplot(111)\n", "ax.plot(kde.support, kde.density)" ] }, { "cell_type": "code", "execution_count": 31, "metadata": { "execution": { "iopub.execute_input": "2026-07-30T06:35:42.949231Z", "iopub.status.busy": "2026-07-30T06:35:42.948984Z", "iopub.status.idle": "2026-07-30T06:35:42.955308Z", "shell.execute_reply": "2026-07-30T06:35:42.953920Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "0.0688231044810875 1.3471633229698652\n" ] } ], "source": [ "print(fat_tails.mean(), fat_tails.std())" ] }, { "cell_type": "code", "execution_count": 32, "metadata": { "execution": { "iopub.execute_input": "2026-07-30T06:35:42.957666Z", "iopub.status.busy": "2026-07-30T06:35:42.957407Z", "iopub.status.idle": "2026-07-30T06:35:42.963415Z", "shell.execute_reply": "2026-07-30T06:35:42.962011Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "(np.float64(0.0688231044810875), np.float64(1.3471633229698652))\n" ] } ], "source": [ "print(stats.norm.fit(fat_tails))" ] }, { "cell_type": "code", "execution_count": 33, "metadata": { "execution": { "iopub.execute_input": "2026-07-30T06:35:42.965803Z", "iopub.status.busy": "2026-07-30T06:35:42.965576Z", "iopub.status.idle": "2026-07-30T06:35:42.991860Z", "shell.execute_reply": "2026-07-30T06:35:42.990481Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "(6, np.float64(0.03900835312789366), np.float64(1.0563837144431252))\n" ] } ], "source": [ "print(stats.t.fit(fat_tails, f0=6))" ] }, { "cell_type": "code", "execution_count": 34, "metadata": { "execution": { "iopub.execute_input": "2026-07-30T06:35:42.994285Z", "iopub.status.busy": "2026-07-30T06:35:42.994059Z", "iopub.status.idle": "2026-07-30T06:35:43.002869Z", "shell.execute_reply": "2026-07-30T06:35:43.001496Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "0.040489843838476335 1.155713998907144\n" ] } ], "source": [ "huber = sm.robust.scale.Huber()\n", "loc, scale = huber(fat_tails)\n", "print(loc, scale)" ] }, { "cell_type": "code", "execution_count": 35, "metadata": { "execution": { "iopub.execute_input": "2026-07-30T06:35:43.005213Z", "iopub.status.busy": "2026-07-30T06:35:43.004989Z", "iopub.status.idle": "2026-07-30T06:35:43.012667Z", "shell.execute_reply": "2026-07-30T06:35:43.011208Z" } }, "outputs": [ { "data": { "text/plain": [ "np.float64(1.115335001165415)" ] }, "execution_count": 35, "metadata": {}, "output_type": "execute_result" } ], "source": [ "sm.robust.mad(fat_tails)" ] }, { "cell_type": "code", "execution_count": 36, "metadata": { "execution": { "iopub.execute_input": "2026-07-30T06:35:43.015086Z", "iopub.status.busy": "2026-07-30T06:35:43.014862Z", "iopub.status.idle": "2026-07-30T06:35:43.023697Z", "shell.execute_reply": "2026-07-30T06:35:43.022277Z" } }, "outputs": [ { "data": { "text/plain": [ "np.float64(1.048391656592289)" ] }, "execution_count": 36, "metadata": {}, "output_type": "execute_result" } ], "source": [ "sm.robust.mad(fat_tails, c=stats.t(6).ppf(0.75))" ] }, { "cell_type": "code", "execution_count": 37, "metadata": { "execution": { "iopub.execute_input": "2026-07-30T06:35:43.026080Z", "iopub.status.busy": "2026-07-30T06:35:43.025853Z", "iopub.status.idle": "2026-07-30T06:35:43.033494Z", "shell.execute_reply": "2026-07-30T06:35:43.032084Z" } }, "outputs": [ { "data": { "text/plain": [ "np.float64(1.115335001165415)" ] }, "execution_count": 37, "metadata": {}, "output_type": "execute_result" } ], "source": [ "sm.robust.scale.mad(fat_tails)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Duncan's Occupational Prestige data - M-estimation for outliers" ] }, { "cell_type": "code", "execution_count": 38, "metadata": { "execution": { "iopub.execute_input": "2026-07-30T06:35:43.036024Z", "iopub.status.busy": "2026-07-30T06:35:43.035797Z", "iopub.status.idle": "2026-07-30T06:35:43.043634Z", "shell.execute_reply": "2026-07-30T06:35:43.042586Z" } }, "outputs": [], "source": [ "from statsmodels.formula.api import ols, rlm\n", "from statsmodels.graphics.api import abline_plot" ] }, { "cell_type": "code", "execution_count": 39, "metadata": { "execution": { "iopub.execute_input": "2026-07-30T06:35:43.046483Z", "iopub.status.busy": "2026-07-30T06:35:43.046248Z", "iopub.status.idle": "2026-07-30T06:35:43.140568Z", "shell.execute_reply": "2026-07-30T06:35:43.138834Z" } }, "outputs": [], "source": [ "prestige = sm.datasets.get_rdataset(\"Duncan\", \"carData\", cache=True).data" ] }, { "cell_type": "code", "execution_count": 40, "metadata": { "execution": { "iopub.execute_input": "2026-07-30T06:35:43.143811Z", "iopub.status.busy": "2026-07-30T06:35:43.142845Z", "iopub.status.idle": "2026-07-30T06:35:43.152773Z", "shell.execute_reply": "2026-07-30T06:35:43.151333Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ " type income education prestige\n", "rownames \n", "accountant prof 62 86 82\n", "pilot prof 72 76 83\n", "architect prof 75 92 90\n", "author prof 55 90 76\n", "chemist prof 64 86 90\n", "minister prof 21 84 87\n", "professor prof 64 93 93\n", "dentist prof 80 100 90\n", "reporter wc 67 87 52\n", "engineer prof 72 86 88\n" ] } ], "source": [ "print(prestige.head(10))" ] }, { "cell_type": "code", "execution_count": 41, "metadata": { "execution": { "iopub.execute_input": "2026-07-30T06:35:43.155231Z", "iopub.status.busy": "2026-07-30T06:35:43.155003Z", "iopub.status.idle": "2026-07-30T06:35:43.498596Z", "shell.execute_reply": "2026-07-30T06:35:43.497742Z" } }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 41, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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RRfrVr36lrKwsNTc3a/PmzaqtrQ3sFC+1bS737rvv6vHHH9eoUaPk8/nkcrm0Z88eZWRkqLCwUC+88ELIXfEBAEDsxeN6cdaKJwaL4T+TKMk1NzfLZrPJ7XazezNwhJ6u49q1a5e+/vprDRo0KHAsW2c2bdokScrNzVVqamqgfefOnWppaZHD4dCAAQMC7Tt27ND+/ft1/PHHd3hcm//97HZ70DT3UPfz83q9amhoUEZGhtLT0zute+fOndq7d68Mw2j3bx1u37592r17twYOHHjU7zmdfVwAACB6lqzbrjsWr+u0369/cJouP+343i+oG8ywLh/tdTWHEtz/ieAOdCzUOi7/32TNeO4nAABAb1hVu1vTFq3utN+fZo4z5dRur89I+rXiZtPVHMoadwAhmXEdFwAAQKzE+3px1orHL9a4AwgpHtdxAQAA9BbWiyNWCO4AQorncz8BAAB6g/9scbst+Pg0u83KEkL0GqbKAwgp3s/9BAAA6A2cLY5oI7gDCCne13EBAAD0FtaLI5qYKg8gJNZxAQAAALFHcAdwVKzjAgAAAGKLqfIAOsU6LgAAACB2CO4AuoR1XAAAAEBsMFUeAAAAAAATI7gDAAAAAGBiBHcAAAAAAEyM4A4AAAAAgImxOR0AAAAAdJPXZ3DiDqKG4A4AAAAA3VBR7VJpeY1cbk+gzWGzqqTIqcI8RwwrQ6JiqjwAAAAAdFFFtUvFZVVBoV2SGtweFZdVqaLaFaPKkMgI7gAAAADQBV6fodLyGhkdXPO3lZbXyOvrqAcQPoI7AAAAAHRBZV1Tu5H2wxmSXG6PKuuaolcUkgJr3AEAAIAoYUOz+NbYEjq0h9MP6CqCOwAAABAFbGgW/7LTrRHtB3QVU+UBAACAXsaGZomhIDdTDptVoeZIWNT2x5iC3MxoloUkQHAHAAAAehEbmiWO1BSLSoqcktQuvPsflxQ5Wf6AiCO4AwAAAIfx+gytqt2tJeu2a1Xt7h4HajY0SyyFeQ4tmJ4vuy14OrzdZtWC6fkse0CvYI07AAAA8E+9sQ6dDc0ST2GeQ5OddjYaRNQQ3AEAAAD9ax36kePr/nXo4Y6msqFZYkpNsWj88KxYl4EkETdT5Q3D0L59+47ax+fzae/evVGqCAAAAImiN9ehs6EZgJ4yfXDfsWOHpk6dqmOOOUbZ2dnKysrS/fffL8P41zdNwzB0//33a+DAgcrMzFRubq6WLl0aw6oBAAAQT3pzHTobmgHoKdMH9xkzZmj79u3asmWL9u3bp9dff12PP/64Fi1aFOjz61//Wk8//bTeeust7d+/X8XFxbryyiv1j3/8I4aVAwAAIF709jp0NjQD0BOmX+O+ceNG3XDDDcrOzpYkTZw4USNHjtRnn30W6PPkk09qxowZGjdunCTpJz/5iRYsWKBnn31W8+fPj0ndAAAAiB/RWIfOhmYAwmX64D5r1iz99re/1eTJk3XiiSfqrbfe0tatW3XddddJkr766itt3rxZEyZMCHq/s88+W2vWrIlFyQAAAIgz/nXoDW5Ph+vcLWobHe/pOnQ2NAMQDtMH9zvuuEPr1q3ThAkT1L9/f3m9Xj399NM6/fTTJbUFd0kaMmRI0PsNGTJEq1evDnnf1tZWtba2Bh43Nzf3QvUAAACIB/516MVlVbJIQeGddegAYs30a9yvvvpqbdmyRTt27ND+/fu1YsUK3XnnnXruueckSRZL2zdPr9cb9H6HDh1SSkroD2/u3Lmy2WyBt5ycnN77IAAAAGB6rEMHYFYW4/Dt2U1m586dstvtWrJkiS677LJA+0033aSNGzdq1apVcrvdGjhwoF5++WVdc801gT7Tpk3Tzp07tXLlyg7v3dGIe05OjtxutzIyMnrvgwIAAICpeX0G69ABREVzc7NsNlunOdTUU+X79+8vSdq/f39Q+759+zRgwABJks1m0+jRo7V8+fJAcPd6vVq5cqVmzZoV8t5paWlKS0vrpcoBAAAQr1iHDsBsTB3cMzIydOmll+pnP/uZ7Ha7TjrpJL311lt69dVX9eyzzwb63X///Zo+fbq+973vafz48Zo3b54OHTqk4uLiGFYPAAAAAEDPmXqqvCS53W49/PDDWrZsmXbv3q0TTzxRM2fO1A033BDU7/e//72eeOIJ7dy5U6eeeqoeffRRjRkzpsv/TlenKAAAAAAAEAldzaGmD+7RQnAHAAAAAERTV3Oo6XeVBwAAAAAgmRHcAQAAAAAwMYI7AAAAAAAmRnAHAAAAAMDECO4AAAAAAJiYqc9xBwAAQPd5fYYq65rU2OJRdrpVBbmZSk2xmP7eAICOEdwBAAASSEW1S6XlNXK5PYE2h82qkiKnCvMcpr03ACA0psoDAAAkiIpql4rLqoKCtSQ1uD0qLqtSRbXLlPcGABwdwR0AACABeH2GSstrZHRwzd9WWl4jr6+jHrG7NwCgcwR3AACABFBZ19RuNPxwhiSX26PKuiZT3RsA0DmCOwAAQAJobAkdrMPpF617AwA6R3AHAABIANnp1oj2i9a9AQCdI7gDAAAkgILcTDlsVoU6mM2ith3gC3IzTXVvAEDnCO4AAAAJIDXFopIipyS1C9j+xyVFzrDOXO/NewMAOkdwBwAASBCFeQ4tmJ4vuy14yrrdZtWC6fk9Omu9N+8NADg6i2EYnNshqbm5WTabTW63WxkZGbEuBwAAIGxen6HKuiY1tniUnd42hT1So+G9eW8ASDZdzaF9olgTAAAAoiA1xaLxw7Pi7t4AgI4R3AEAQFJhxBgAEG8I7gAAIGlUVLtUWl4jl/tf5407bFaVFDlZow0AMC02pwMAAEmhotql4rKqoNAuSQ1uj4rLqlRR7YpRZQAAHB3BHQAAJDyvz1BpeY062pHX31ZaXiOvjz17AQDmQ3AHAAAJr7Kuqd1I++EMSS63R5V1TdErCgCALiK4AwCAhNfYEjq0h9MPAIBoIrgDAICEl51ujWg/AACiieAOAAASXkFuphw2q0Id+mZR2+7yBbmZ0SwLAIAuIbgDAICEl5piUUmRU5LahXf/45IiJ+e5AwBMieAOAACSQmGeQwum58tuC54Ob7dZtWB6Pue4AwBMq0+sCwAAAIiWwjyHJjvtqqxrUmOLR9npbdPjGWkHAJgZwR0AACSV1BSLxg/PinUZAAB0GVPlAQAAAAAwMYI7AAAAAAAmRnAHAAAAAMDECO4AAAAAAJgYwR0AAAAAABMjuAMAAAAAYGIEdwAAAAAATIzgDgAAAACAiRHcAQAAAAAwMYI7AAAAAAAmRnAHAAAAAMDECO4AAAAAAJhYn1gXAAAAAABAJHh9hirrmtTY4lF2ulUFuZlKTbHEuqweI7gDAAAAAOJeRbVLpeU1crk9gTaHzaqSIqcK8xwxrKznmCoPAAAAAIhrFdUuFZdVBYV2SWpwe1RcVqWKaleMKosMgjsAAAAAIG55fYZKy2tkdHDN31ZaXiOvr6Me8YHgDgAAAACIW5V1Te1G2g9nSHK5Paqsa4peURFGcAcAAAAAxK3GltChPZx+ZkRwBwAAAADErex0a0T7mRHBHQAAAAAQtwpyM+WwWRXq0DeL2naXL8jNjGZZEUVwBwAAAADErdQUi0qKnJLULrz7H5cUOeP6PHeCOwAAAAAgrhXmObRger7stuDp8HabVQum58f9Oe59Yl0AAAAAAAA9VZjn0GSnXZV1TWps8Sg7vW16fDyPtPsR3AEAAAAACSE1xaLxw7NiXUbEMVUeAAAAAAATI7gDAAAAAGBiBHcAAAAAAEyM4A4AAAAAgIkR3AEAAAAAMDGCOwAAAAAAJkZwBwAAAADAxAjuAAAAAACYGMEdAAAAAAATI7gDAAAAAGBiBHcAAAAAAEyM4A4AAAAAgIkR3AEAAAAAMDGCOwAAAAAAJkZwBwAAAADAxAjuAAAAAACYGMEdAAAAAAATi4vgvmfPHv30pz/VuHHjNGnSJC1evLhdn6VLl+qiiy7Saaedpuuuu06bN2+OQaUAAAAAAESW6YN7U1OTzjzzTK1Zs0Zz587V3LlztXTpUn3wwQeBPm+++aamTp2qyZMn6+mnn9aBAwc0ceJE7dmzJ4aVAwAAAADQcxbDMIxYF3E0s2fP1htvvKGNGzeqf//+gfZDhw6pT58+kqSCggJ95zvf0f/8z/9Ikg4ePCi73a577rlHc+bM6dK/09zcLJvNJrfbrYyMjMh/IAAAAAAAHKarOdT0I+6LFy/W9OnTg0K7pEBo37t3r9auXavCwsLAtX79+umCCy7QO++8E9VaAQAAAACINFMH96+++kq7d+/WiSeeqBkzZuj000/XJZdcopdffjnQZ9u2bTIMQw6HI+h97Xa7tm3bFvLera2tam5uDnoDACAeeH2GVtXu1pJ127Wqdre8PlNPngMAAD3UJ9YFHM3BgwclSffcc49+8Ytf6N///d+1Zs0aXXfdddqzZ49uvfVWeb1eSW2j7IdLS0vToUOHQt577ty5Ki0t7b3iAQDoBRXVLpWW18jl9gTaHDarSoqcKsxzHOU9AQBAvDL1iHtmZqZSUlJ0+eWX6/bbb1d+fr6Ki4t1ww03aOHChZKkrKwsSdKuXbuC3nfXrl2Bax2ZM2eO3G534G3r1q2994EAABABFdUuFZdVBYV2SWpwe1RcVqWKaleMKgMAAL3J1MG9f//+ysvLU2ZmZlB7VlaW9u7dK6ltSvzQoUO1evXqoD6rVq3Sd7/73ZD3TktLU0ZGRtAbAABm5fUZKi2vUUeT4v1tpeU1TJsHACABmTq4S227yr/00kuqq6uTJNXX1+vFF1/UxRdfHOhz66236re//a2++OILSdJzzz2nTZs2aebMmTGpGQCASKusa2o30n44Q5LL7VFlXVP0igIAAFFh6jXukjRz5kx9+eWXGj16tAYNGqSvvvpK06ZN08MPPxzoc99996m+vl55eXmy2Ww6dOiQXnjhBY0ePTqGlQMAEDmNLaFDezj9AABA/DD9Oe5+Bw4c0M6dO3Xccce124jOr7m5Wbt379bQoUPVt2/fbt2fc9wBAGa2qna3pi1a3Wm/P80cp/HDQ+/xAgAAzKOrOdT0I+5+/fv317Bhw47ah7XqAIBEVZCbKYfNqga3p8N17hZJdptVBbmZHVwFAADxzPRr3AEA6I5EPeM8NcWikiKnpLaQfjj/45Iip1JTjryauM8JAADJIm5G3AEA6Eyin3FemOfQgun57T5G+1E+xkR/TgAASAZxs8a9t7HGHQDim/+M8yN/qPnHnxdMz0+YoOr1Gaqsa1Jji0fZ6W3T4zsaaU+m5wQAgHjU1RzKVHkAQNxLtjPOU1MsGj88S5efdrzGD88KOT0+mZ4TAAASGcEdABD3OOO8PZ4TAAASB8EdABD3OOO8PZ4TAAASR9jBfevWrZo/f75uu+22QNvbb7+tb775JiKFAQDQVdnp1oj2SwQ8JwAAJI6wgvvq1as1atQo/eUvf9EzzzwTaF+6dKkWLlwYseIAAOgK/xnn7Vd6t7GobSf1ZDrjnOcEAIDEEVZwv+eeezR37lx9+OGHQe0zZszQU089FZHCAADoqp6ccZ6oeE4AAEgcYR0Hl56eLpfLpWOPPVYpKSny+XySpH379mnQoEE6ePBgxAvtbRwHBwDxjzPL2+M5AQDAvLqaQ/uEc/O0tDQ1NTXp2GOPDWpfv369srOzw7klAAA9Vpjn0GSnvUtnnCcLnhMAAOJfWMF96tSpmjNnjp577jlZLG0/+Dds2KBbbrlFV155ZUQLBACgO/xnnONfeE4AAIhvYa1xnzdvnjZv3qysrCz5fD7l5OQoLy9P6enp+uUvfxnpGgEAAAAASFphjbgPGjRIH3zwgVasWKG1a9fK5/MpPz9fF110kVJSOBoeAAAAAIBICWtzukTE5nQAAAAAgGjq1c3pXnnllZDX0tLSdNJJJ2nUqFHh3BoAAAAAABwmrOA+a9Ys7d69W5LUr18/SQocATdgwADt27dPY8eO1dKlSzVkyJAIlQoAANAxr89g53wAQMIKa0H6z372M02cOFHr16+Xx+ORx+PR3//+d5111ll6+OGHtWnTJvXv31933313pOsFAAAIUlHt0oRHV2raotW6Y/E6TVu0WhMeXamKalesSwMAICLCWuM+cuRILVu2TLm5uUHtmzdv1pQpU/T555+rpqZGF154obZt2xaxYnsTa9wBAIg/FdUuFZdV6chfZvxj7Qum56swzxHtsgAA6JKu5tCwRtzr6+vVv3//du3HHHOM6uvrJUlDhw7V/v37w7k9AABAp7w+Q6XlNe1Cu6RAW2l5jbw+9uEFAMS3sIL72LFj9aMf/Siwzl2Sdu3apdtuu01jx46VJL333ns6++yzI1MlAADAESrrmuRye0JeNyS53B5V1jVFrygA8voMrardrSXrtmtV7W7+eAZEQFib0y1atEhTp07Vcccdp2HDhskwDG3ZskW5ubl6/fXXJUlffPGFHn/88UjWCgAAENDYEjq0h9MPQM9VVLtUWl4T9Ec1h82qkiIny1aAHggruJ9yyinasGGDKioqtHHjRlksFp1yyikqLCxUamqqJOnHP/5xJOsEAAAIkp1ujWg/AD0Tas+JBrdHxWVV7DkB9EBYwV2SUlNTdckll+iSSy6JZD0AAABdUpCbKYfNqga3p8N17hZJdlvb0XAAeldne05Y1LbnxGSnnaMagTB0Obi/8cYbkqRLL7008P+hXHrppT2rCgAAoBOpKRaVFDlVXFYlixQUGPyxoKTISUgAoqA7e06MH54VvcKABNHl4H711VdLkjweT+D/Q/F4WEsGAAB6X2GeQwum57dbU2tnTS0QVew5AfSuLgf3w8M4wRwAAJhFYZ5Dk512VdY1qbHFo+z0tunxjLQD0cOeE0DvCmuN+7Bhw/Tll192+xoAAEBvSE2xMP0WiCH2nAB6V1jnuG/ZsqXD9kOHDmn79u09KggAAABAfPHvOSH9a48JP/acAHquWyPuFRUVHf6/JPl8Pq1evVonnXRSZCoDAAAAEDfYcwLoPRbDMDqazdKhPn3acr7X6w2c1+7Xt29fDRs2TI899lhcHhHX3Nwsm80mt9utjIyMWJcDAAAAxCWvz2DPCaCLuppDuzXifujQIUmS3W5XQ0NDzyoEAAAAkHDYcwKIvLDWuB8Z2ltbW7V8+XJt2rQpIkUBAAAAAIA2YQX3ZcuW6frrr5ckGYahiy66SBdeeKFOOeUULVmyJKIFAgAAAACQzMIK7g888IDuvPNOSdKaNWv0+eefq7GxUc8//7weeuihiBYIAAAAAEAyCyu4b9iwQd/5znckSStWrNAVV1yhwYMH6+qrr9Znn30W0QIBAAAAAEhmYQX3IUOGaN26dTIMQ6+++qrOP/98SZLL5VJ2dnZECwQAAAAAIJl1a1d5v1tuuUWFhYU67rjjtHfvXk2ZMkWS9Nprr+mqq66KaIEAAAAAACSzsIL7/fffr9NOO01btmzR1KlTdcwxx0iSUlJSNGfOnIgWCAAAAABAMrMYhmHEuggz6OrB9wAAAAAAREJXc2hYa9wlaevWrZo/f75uu+22QNvbb7+tb775JtxbAgAAAACAI4QV3FevXq1Ro0bpL3/5i5555plA+9KlS7Vw4cKIFQcAAAAAQLILK7jfc889mjt3rj788MOg9hkzZuipp56KSGEAAAAAACDMzenWrVun//3f/5UkWSyWQHtubq5qa2sjUxkAAAAAAAhvxD0tLU1NTU3t2tevX8857gAAAAAARFBYwX3q1KmaM2eOWltbAyPuGzZs0C233KIrr7wyogUCAAAAAJDMwgru8+bN0+bNm5WVlSWfz6ecnBzl5eUpPT1dv/zlLyNdIwAAAAAASSusNe6DBg3SBx98oBUrVmjt2rXy+XzKz8/XRRddpJSUsE+YAwAAAAAAR7AYhmF0953Gjx+vVatW9UY9MdPVg+8BAAAAAIiErubQsEbca2pq1NLSovT09LALBAAA0eH1Gaqsa1Jji0fZ6VYV5GYqNcXS+TsCAABTCCu4X3rppfr973+v2267LdL1AACACKqodqm0vEYutyfQ5rBZVVLkVGGeI4aVAQCArgoruKempmr27Nn685//LKfTqX79+gVdf+KJJyJRGwAA6IGKapeKy6p05Jq4BrdHxWVVWjA9n/AOAEAcCCu4NzU16ZJLLpEk1dfXR7QgAADQc16fodLymnahXZIMSRZJpeU1muy0M20eAACT63Zw93q9mjdvngzD0MiRI9WnT1jZHwAA9KLKuqag6fFHMiS53B5V1jVp/PCs6BUGAAC6rVtnt9XW1iovL09Op1OjRo3Sqaeeqtra2t6qDQAAhKmxJXRoD6cfAACInW4F93vvvVeDBg3Sm2++qTfffFM2m0333ntvb9UGAADClJ1ujWg/AAAQO92a5/7+++/rgw8+0PDhwyVJI0aM0Nlnn90rhQEAgPAV5GbKYbOqwe3pcJ27RZLd1nY0HAAAMLdujbjv3LkzENqltuDe0NAQ8aIAAEDPpKZYVFLklNQW0g/nf1xS5GRjOgAA4kC3grskeTyewFtra2u7No+HtXIAAJhBYZ5DC6bny24Lng5vt1k5Cg4AgDjS7S3h+/fv32mbYXQ0KQ8AAERbYZ5Dk512VdY1qbHFo+z0tunxjLQDABA/uhXc//SnP/VWHQAAoJekplg48g0AgDjWreD+gx/8oLfqAAAAAAAAHej2GncAAAAAABA9BHcAAAAAAEyM4A4AAAAAgIl1e1d5AAB6yusz2OUciFN8/QJA9BHcAQBRVVHtUml5jVxuT6DNYbOqpMjJueKAyfH1CwCxwVR5AEDUVFS7VFxWFfRLvyQ1uD0qLqtSRbUrRpUB6AxfvwAQOwR3AEBUeH2GSstrZHRwzd9WWl4jr6+jHgBiia9fAIituAru7733nmbMmKGXXnqp3bX6+no99NBDmj17tp599lm1trbGoEIAQCiVdU3tRuoOZ0hyuT2qrGuKXlEAuoSvXwCIrbgJ7l999ZWuu+46vf7661q1alXQtZqaGo0ZM0ZVVVXKycnRb37zG02aNEnffPNNjKoFABypsSX0L/3h9AMQPXz9AkBsxUVwNwxDN9xwg2bPnq2hQ4e2u37vvfcqPz9fr776qu69914tX75cH3/8sf7whz/EoFoAQEey060R7Qcgevj6BYDYiovgPn/+fHk8Ht11113trh08eFDLli3TD37wA1ksbUeROBwOnXfeeSovL492qQCAEApyM+WwWRXq0CiL2nanLsjNjGZZALqAr18AiC3TB/ePPvpIjz32mH7/+98Hgvnh6uvr9c0332jYsGFB7bm5udq0aVPI+7a2tqq5uTnoDQDMwOsztKp2t5as265VtbsTZrOn1BSLSoqcktTul3//45IiJ+dBAybE1y8AxJapg3tzc7OmTZumJ598ssMp8pJ04MABSVJ6enpQe3p6euBaR+bOnSubzRZ4y8nJiVzhABCmimqXJjy6UtMWrdYdi9dp2qLVmvDoyoQ5Zqkwz6EF0/NltwVPp7XbrFowPZ9zoAET4+sXAGLHYhiGaYdy/vu//1tz5szRVVddFWh77bXX5HA4NG7cOC1cuFBbt27VsGHD9Oabb2rKlCmBfjNnztTHH3+sqqqqDu/d2toatPN8c3OzcnJy5Ha7lZGR0XsfFACE4D8j+chvyv7xq0T6xdjrM1RZ16TGFo+y09um1zJSB8QHvn4BIHKam5tls9k6zaF9olhTt5199tmaN29eUNtbb70VCO4Wi0U5OTnKyMhQTU1NUHDfsGGD8vLyQt47LS1NaWlpvVY7AHRHZ2ckW9R2RvJkpz0hfkFOTbFo/PCsWJcBIAx8/QJA9Jk6uDudTjmdzqC2p556SqNGjdKMGTMkSRaLRddee62ee+45zZo1SwMGDNBHH32k1atX62c/+1ksygaAbuvOGcn8wgwAAMLBjJn4Zerg3lUPP/ywzj//fI0ZM0ajR4/WihUrVFxcHDQCDwBmxhnJAACgN1VUu1RaXhM0UOCwWVVS5EyYpXiJLO6Ce0lJiRyO4E+swYMHa+3atXrnnXe0c+dOPfjggzrttNNiUyAAhIEzkgEAQG8JtY9Og9uj4rKqhNpHJ1HFXXC/4oorOmzv27evLrzwwihXAwCR4T8jucHt6XCdu0VtOzdzRjIAAOiOZNtHJ1GZ+jg4AEgWnJEMAAB6Q3f20YF5EdwBwCQ4IxkAAEQa++gkhribKg8Aiawwz6HJTjs7vgIAgIhgH53EQHAHAJPhjGQAABAp7KOTGJgqDwAAAAAJin10EgPBHQAAAAASGPvoxD+mygMAAABAgmMfnfhGcAcAAACAJMA+OvGLqfIAAAAAAJgYwR0AAAAAABMjuAMAAAAAYGIEdwAAAAAATIzN6QAAQFLx+gx2VQYAxBWCOwAASBoV1S6VltfI5fYE2hw2q0qKnJxjDAAwLabKAwCApFBR7VJxWVVQaJekBrdHxWVVqqh2xagyAACOjuAOAAASntdnqLS8RkYH1/xtpeU18vo66gEAQGwR3AEAQMKrrGtqN9J+OEOSy+1RZV1T9IoCAKCLWOMOoEvYzAlAPGtsCR3aw+kHAEA0EdwBdIrNnADEu+x0a0T7AQAQTUyVB3BUbOYEIBEU5GbKYbMq1Dwhi9r+IFmQmxnNsgAA6BKCO4CQ2MwJQKJITbGopMgpSe3Cu/9xSZGTJUAAAFMiuAMIic2cACSSwjyHFkzPl90WPB3ebrNqwfR8lv4AAEyLNe4AQmIzJwCJpjDPoclOO5ttAgDiCsEdQEhs5gQgEaWmWDR+eFasywAAoMuYKg8gJDZzAgAAAGKP4A4gJDZzAgAAAGKP4A7gqNjMCQAAAIgt1rgD6BSbOQEAAACxQ3AH0CVs5gQAAADEBlPlAQAAAAAwMYI7AAAAAAAmRnAHAAAAAMDECO4AAAAAAJgYm9MBAICweX0GJ04AANDLCO4AACAsFdUulZbXyOX2BNocNqtKipwqzHPEsDIAABILU+UBAEC3VVS7VFxWFRTaJanB7VFxWZUqql0xqgwAgMRDcAcAAN3i9RkqLa+R0cE1f1tpeY28vo56AACA7iK4AwCAbqmsa2o30n44Q5LL7VFlXVP0igIAIIER3AEAQLc0toQO7eH0AwAAR0dwBwAA3ZKdbo1oPwAAcHQEdwAA0C0FuZly2KwKdeibRW27yxfkZkazLAAAEhbBHQAAdEtqikUlRU5Jahfe/Y9Lipyc5w4AQIQQ3AEAQLcV5jm0YHq+7Lbg6fB2m1ULpudzjjsAABHUJ9YFAACA+FSY59Bkp12VdU1qbPEoO71tejwj7QAARBbBHQAAhC01xaLxw7NiXQYAAAmN4A4g4rw+gxE4AAAAIEII7gAiqqLapdLyGrnc/zq/2WGzqqTIyZpXAAAAIAxsTgcgYiqqXSouqwoK7ZLU4PaouKxKFdWuGFUGAAAAxC+CO4CI8PoMlZbXyOjgmr+ttLxGXl9HPQAAAACEQnAHEBGVdU3tRtoPZ0hyuT2qrGuKXlEAAABAAiC4A4iIxpbQoT2cfgAAAADaENwBRER2ujWi/QAAAAC0IbgDiIiC3Ew5bFaFOvTNorbd5QtyM6NZFgAAABD3CO4AusTrM7SqdreWrNuuVbW7220yl5piUUmRU5LahXf/45IiJ+e5AwAAAN3EOe4AOtXVs9kL8xxaMD2/XV8757gDAAAAYbMYhsHZTJKam5tls9nkdruVkZER63IA0/CfzX7kNwr/uPmC6fntArnXZ6iyrkmNLR5lp7dNj2ekHQAAAAjW1RzKiDuAkDo7m92itrPZJzvtQcE8NcWi8cOzolUmAAAAkNBY4w4gJM5mBwAAAGKP4A4gJM5mBwAAAGKP4A4gJM5mBwAAAGKP4A4gJM5mBwAAAGKP4A4gJM5mBwAAAGKP4A7gqPxns9ttwdPh7TZrh0fBAQAAAIgsjoMD0KnCPIcmO+2czQ4AAADEAMEdQJdwNjsAAAAQG0yVBwAAAADAxAjuAAAAAACYGMEdAAAAAAATI7gDAAAAAGBicbE5XUNDgz766CP16dNHZ5xxhrKzs9v1OXTokN577z3t3LlTp556qkaNGhWDSpGsvD6DHdcBAAAA9ApTB3fDMHTTTTdpxYoVOu2007R//36tWrVKjz32mIqLiwP9mpqaNHnyZDU1NSkvL0/vvvuubrrpJj3xxBOxKx5Jo6LapdLyGrncnkCbw2ZVSZGTM84BAAAA9Jjpg/s555yjRYsWqU+ftlJ/97vf6dZbb1VhYaFyc3MlST/96U914MABffrppzr22GO1Zs0ajR8/XlOmTNFFF10Uyw8BCa6i2qXisioZR7Q3uD0qLqvSgun5hHcAAAAAPWLqNe4pKSm68cYbA6FdkoqKiuT1erVx40ZJbeF+8eLFuummm3TsscdKks4880ydeeaZ+uMf/xiTupEcvD5DpeU17UK7pEBbaXmNvL6OegAAAABA15h6xL0jFRUVSklJUV5eniRp69atcrvd7da05+XlqaqqKuR9Wltb1draGnjc3NzcOwUjYVXWNQVNjz+SIcnl9qiyrknjh2dFrzAAOAL7cAAAEN/iKrhv2rRJd955p26//XadcMIJkiS32y1JGjhwYFDfzMzMwLWOzJ07V6Wlpb1WKxJfY0vo0B5OPwDoDezDAQBA/DP1VPnD1dfX64ILLtC5556refPmBdr79+8vSdq3b19Q/5aWlsC1jsyZM0dutzvwtnXr1t4pHAkrO90a0X4AEGn+fTiOnB3k34ejotoVo8oAAEB3xEVw37p1q84991ydfvrpWrx4cdCa9xNOOEF9+/bVl19+GfQ+X375pYYPHx7ynmlpacrIyAh6A7qjIDdTDptVoSabWtQ2qlWQmxnNsgBAEvtwAACQSEwf3Ldt26Zzzz1XY8aM0csvv6y+ffsGXe/Xr58mT56sl156KdC2c+dOrVy5Updeemm0y0USSU2xqKTIKUntwrv/cUmRk3WkAGKiO/twAAAAczP1GnePx6NJkyZp7969uvjii/Xiiy8Grp111lk6+eSTJUmPPvqozjrrLH3/+9/XuHHj9Pzzz+u0007TDTfcEKvSkSQK8xxaMD2/3fpRO+tHAcQY+3AAAJA4TB3cDx06pO9973uSpA8++CDo2kknnRQI7nl5efr73/+u5557Tp9//rluvfVWzZgxo93oPNAbCvMcmuy0s2MzAFNhHw4AABKHxTAMFrep7Tg4m80mt9vNencAQNzz+gxNeHSlGtyeDte5W9Q2O+j9eyfxh0YAAGKkqznU9GvcAQBA97EPBwAAiYPgDgBAgvLvw2G3BU+Ht9usWjA9n304AACIE6Ze4w4AAHqGfTgAAIh/BHcAABJcaopF44dnxboMAAAQJqbKAwAAAABgYoy4I2l4fQZTRREX+FwFAADA4QjuSAoV1S6VltfI5fYE2hw2q0qKnGzOBFPhcxUAAABHYqo8El5FtUvFZVVBQUiSGtweFZdVqaLaFaPKgGB8rgIAAKAjBHckNK/PUGl5jYwOrvnbSstr5PV11AOIHj5XAQAAEArBPY54fYZW1e7WknXbtap2N7/Ad0FlXVO70cvDGZJcbo8q65qiVxTQAT5XAQAAEApr3OME617D09gSOgiF0w/oLXyuAgAAIBRG3OMA617Dl51ujWg/oLfwuQoAAIBQCO4mx7rXninIzZTDZlWog7Qsapu5UJCbGc2ygHb4XAUAAEAoBHeTY91rz6SmWFRS5JSkdoHI/7ikyMkZ2Yg5PlcBAAAQCsHd5Fj32nOFeQ4tmJ4vuy14irHdZtWC6fnsEQDT4HMVAAAAHWFzOpNj3WtkFOY5NNlpV2VdkxpbPMpOb5tyzOglzIbPVQAAAByJ4G5y/nWvDW5Ph+vcLWobjWPda+dSUywaPzwr1mUAneJzFQAAAIdjqrzJse4VZuH1GVpVu1tL1m3XqtrdbIgIAAAARAkj7nHAv+71yHPc7ZzjjiipqHa1+/xz8PkHAAAARIXFMAyGzSQ1NzfLZrPJ7XYrIyMj1uV0yOszWPeKqKuodqm4rKrdUg3/Zx6bpgEAAADh6WoOZcQ9jrDuFdHm9RkqLa/pcH8FQ23hvbS8RpOddv6IBAAAAPQS1rgDCKmyriloevyRDEkut0eVdU3RKwoAAABIMgR3ACE1toQO7eH0AwAAANB9BHcAIWWnWyPaDwAAAED3EdwBhFSQmymHzdruKEI/i9p2ly/IzYxmWQAAAEBSIbgDURZP56GnplhUUuSUpHbh3f+4pMjJxnQAAABAL2JXeSCK4vE89MI8hxZMz29Xt93kdQMAAACJgnPc/ykeznFHfIv389C9PkOVdU1qbPEoO71tejwj7QAAAED4OMcdMJFEOA89NcWi8cOzYl0GAAAAkHQI7gmqu6OjjKYGi/Tz0Z3z0AnHAAAAAA5HcE9A3V1HHY/rrntTbzwfnIcOAAAAIFzsKp9g/OuojxzdbXB7VFxWpYpqV4/6J7reej44Dx0AAABAuAjuCaSzddRS2zpq//Fj3e2f6Hrz+eA8dAAAAADhIrgnkO6sow6nf6LrzeeD89ABAAAAhIvgnkC6u46addfBevv58J+HbrcFT4e326ymPwoOAAAAQOywOV0C6e46atZdB4vG81GY59Bkp50d/AEAAAB0GcE9gfjXUTe4PR2u07aobXTXv466u/0TXbSeD85DBwAAANAdTJWPI16foVW1u7Vk3Xatqt3dbpO07q6jZt11MJ4PAAAAAGZkMQwjObYM70Rzc7NsNpvcbrcyMjJiXU473TlbnHPce4bnAwAAAEA0dDWHEtz/yczB3X+2+JEvlH/ct6ONzbw+o1vrqLvbP9HxfAAAAADobQT3bjJrcPf6DE14dGXIY8r8667fv3cSwRIAAAAA4khXcyhr3E2Os9bjQ2f7DwAAAABAuNhV3uQ4a938WBMPAAAAoDcx4m5ynLVubv79B46cFdHg9qi4rEoV1a4YVQYAAAAgURDcTc5/tnio1esWtY3uJstZ62bi9RkqLa/p8Mx3f1tpeQ3T5gEAAAD0CMHd5JLtbPF4WivO/gMAAAAAooE17nGgMM+hBdPz262jtifYOup4WyvO/gMAAAAAooHgHicK8xya7LQn7Nnioc6q968V7+is+lhj/wEAAAAA0UBwjyOpKRaNH54V6zIirrO14ha1rRWf7LSb6g8V/v0HGtyeDmu3qG1WBPsPAAAAAOgJ1rgj5uJ1rXiy7T8AAAAAIDYI7oi5eF4r7t9/wG4Lng5vt1lNOb0fAAAAQPxhqjxiLt7Xiif6/gMAAAAAYovgjphLhLXiibr/AAAAAIDYY6o8Yo614gAAAAAQGsEdpsBacQAAAADoGFPlYRqsFQcAAACA9gjuMBXWigMAAABAMII7JElen8FINwAAAACYEMEdqqh2qbS8Ri73v85Jd9isKilysrYcAAAAAGKMzemSXEW1S8VlVUGhXZIa3B4Vl1WpotoVo8oAAAAAABLBPal5fYZKy2s6PDvd31ZaXiOvr6MeAAAAAIBoILgnscq6pnYj7YczJLncHlXWNUWvKAAAAABAEIJ7EmtsCR3aw+kHAAAAAIg8gnsSy063RrQfAAAAACDyCO5JrCA3Uw6bVaEOfbOobXf5gtzMaJYFAAAAADgMwT2JpaZYVFLklKR24d3/uKTIyXnuAAAAABBDBPckV5jn0ILp+bLbgqfD221WLZiezznuAAAAABBjfWJdAGKvMM+hyU67Kuua1NjiUXZ62/R4RtoBAAAAIPYI7pDUNm1+/PCsWJcBAAAAADhCQk2V93g8amhokM/ni3UpAAAAAABEREIEd5/PpzvuuEMDBw7Ut7/9bR133HF65ZVXYl0WAAAAAAA9lhDBfd68eXrxxRe1du1aff3113rwwQc1bdo0bdiwIdalAQAAAADQIwkR3J955hnNmDFDeXl5slgs+vd//3cNGzZMixYtinVpAAAAAAD0SNwH98bGRtXX1+t73/teUPtZZ52ljz76KEZVAQAAAAAQGXEf3L/66itJUlZW8I7ogwcPDlzrSGtrq5qbm4PeAAAAAAAwm7gP7ikpbR/CoUOHgtq/+eYbpaamhny/uXPnymazBd5ycnJ6tU4AAAAAAMIR98F96NChkqSGhoag9oaGBh1//PEh32/OnDlyu92Bt61bt/ZqnQAAAAAAhCPug3t6erry8/O1bNmyQNs333yjFStW6Jxzzgn5fmlpacrIyAh6AwAAAADAbPrEuoBIePDBB3X11VfrjDPO0Pjx4zV//nylpqaquLg41qUBAAAAANAjcT/iLkmXX365Fi9erJdeeknTpk1Ta2ur/va3v2nw4MGxLg0AAAAAgB6xGIZhxLoIM3C73Ro4cKC2bt3KtHkAAAAAQK9rbm5WTk6Ovv76a9lstpD9EmKqfCS0tLRIErvLAwAAAACiqqWl5ajBnRH3f/L5fNqxY4fS09NlsVhiXY7p+f8yxAyF+MbrmDh4LRMDr2Ni4HVMDLyOiYPXMjEk6utoGIZaWlp03HHHBY467wgj7v+UkpISOFoOXceO/ImB1zFx8FomBl7HxMDrmBh4HRMHr2ViSMTX8Wgj7X4JsTkdAAAAAACJiuAOAAAAAICJEdwRlrS0NJWUlCgtLS3WpaAHeB0TB69lYuB1TAy8jomB1zFx8FomhmR/HdmcDgAAAAAAE2PEHQAAAAAAEyO4AwAAAABgYgR3AAAAAABMjHPc0an9+/frk08+UU5Ojk444YQO++zZs0e1tbVyOBw6/vjjo1whumLPnj368ssvdcIJJygrK6vDPgcPHlR1dbUGDBigb3/721GuEF1x6NAhff755+rbt69yc3PVt2/fDvtt3LhRHo9HeXl5Ifsg9lpaWvT3v/9dDodDw4cPb3d927Ztamho0IgRIzRw4MDoF4iQmpqaVFNT0669oKBA/fr1C2r7+uuvtWnTJtntdg0dOjRaJaKbdu3apfr6en3729/WgAED2l0/ePCgNmzYoP79++uUU06JQYUIZf/+/aqqqurw2sknn6xvfetbQW2fffaZDhw4oFGjRrX7ekXsGYahL7/8Uk1NTRo6dGi7188v6X5GGkAIDQ0Nxh133GE4HA7DarUa999/f4f9HnnkEcNqtRrf+c53DKvVavzbv/2bcfDgwShXi1DWr19vXHTRRUZmZqZx+umnG8ccc4xxzTXXGHv37g3qt2zZMmPw4MFGbm5uoO+2bdtiVDU68sgjjxh2u90YPXq0ccIJJxh2u914+eWXg/p8+eWXxujRo43Bgwcbw4YNM771rW8Z77zzTmwKRqeuvPJKIyUlxbj11luD2ltbW41rr73W6N+/f+B767x582JUJTry2muvGSkpKcZZZ50V9NbY2BjUb968eYGfkf379zeuvfZao7W1NUZVoyMtLS3GD37wA+OYY44xzjjjDCMnJ8f47W9/G9Rn+fLlxpAhQ4zc3FwjKyvLGDNmjFFfXx+jinGkzZs3t/taPOWUUwxJxpIlSwL96uvrjTFjxhhZWVlGbm6uMWTIEGP58uUxrBxHqqmpMfLy8owhQ4YY+fn5xoABA4yioqKg31uT9WckwR0hrVq1yviv//ovo6mpyfj2t7/dYXBfvny5kZKSEvimV1dXZwwePNj41a9+Fe1yEcJf/vIXo6KiIvB427ZtRk5OjvGjH/0o0LZ7927DZrMZDz74oGEYhuHxeIyzzjrLmDx5ctTrRWiPPPKI0dzcHHj8i1/8wujbt6/hdrsDbRMmTDDOP//8wB/P7rrrLiMrKyuoD8zh6aefNs4991xj7Nix7YL7z3/+c8NutweCwZtvvmlYLBbj3XffjUWp6MBrr71mDBgw4Kh9/u///s+wWCzGsmXLDMMwjC1bthjZ2dlGaWlpNEpEF1166aXGqaeeajQ0NBiGYRgHDhwwfve73wWu79mzxxg0aJDx05/+1DCMttAwceJE47zzzotJveia22+/3cjOzg4aTDr33HONc889N/DHs3vvvdcYNGiQsWfPnhhViSNNmjTJOO+88wKv0fbt242srCzjoYceCvRJ1p+RBHd0Sajg/m//9m/GhAkTgtp+/OMfG8OHD49WaQjD7NmzjdNPPz3weOHChYbVajVaWloCba+//rohiREFE/vb3/5mSDI2bdpkGIZh/OMf/zAkBY0e7Nq1y+jTp4/xhz/8IVZlogPr1683HA6HsXXrVuPMM89sF9xPOOEE47777gtq++53v2vccMMNUawSR+MP7jU1Ncb69euNAwcOtOtz/fXXG+PGjQtqu/vuu40TTzwxSlWiM2vWrDEkGStXrgzZ57nnnjP69esX9AfQN954w5Bk1NXVRaFKdJfH4zGysrKMn/zkJ4G2zZs3G5KCBjP27Nlj9O3b13j++edjUCU6cuqppxp33313UNsZZ5xh3H777YHHyfozks3p0COffPKJzjjjjKC2goIC1dbWqqWlJUZVoTNr167ViBEjAo8/+eQTffvb39axxx4baCsoKJAkrVu3Ltrl4Sjq6+v1/vvv6+WXX9Ydd9yhm266KbA2+pNPPpGkoK/JrKwsnXTSSYFriL39+/fr2muv1RNPPNHheuempibV19d3+L2V19Fc9u3bp6KiIl1xxRUaNGiQHnrooaDroX5GbtmyRXv27IlmqQhhxYoVSk9P1znnnKNNmzbp008/1YEDB4L6fPLJJzr55JOVkZERaPP/jORr0pxef/117d69WzNmzAi0dfQzcuDAgTr55JN5HU3k5z//uV588UUtXLhQy5cv1/3336+vvvpKP/rRjyQl989INqdDjzQ1NbXb6Mz/uKmpSenp6bEoC0fxxBNP6OOPP9ZTTz0VaOvsdYR5LFu2TC+88ILq6+s1YMAA3XjjjYFrTU1NSk1Nlc1mC3qfrKwsXkcT+dGPfqSCggJ9//vf7/C6/7Xq6GuS19E8cnJytHbt2sAvj//7v/+ryy67TEOHDtUPf/hDSZ1/bx00aFB0i0Y7O3bsUHZ2tq688kp9+umn6tevn3bs2KH58+cHQl9Hr2NmZmbgGsznd7/7nc4991ydfPLJgTb/a+V/7fz43mou55xzjiZOnKj7779fOTk52rx5s+666y6ddNJJkpL7ZyQj7uiRvn37yuPxBLX5/1LNLp3m88c//lE/+clP9Pzzzwf9pZLXMX7MnDlTH3zwgerr6zVjxgxdcMEF2rx5s6S219Hr9eqbb74Jep8DBw7wOprEW2+9pZdfflnXXnut3n//fb3//vtqaWlRQ0OD3n//ffl8vsApAB19TfI6mscZZ5wR9H10ypQpuvzyy7V48eJAG99bza9v376qra3VGWecodraWm3cuFGPPfaYZs2aFTg1oKPX0f+Y19F8tmzZohUrVmjmzJlB7f7vra2trUHtfG81l0svvVT79u3T1q1bVVVVpZqaGi1cuFAPPvigJCX1z0iCO3rkxBNP1Pbt24Patm/frrS0NGVnZ8eoKnTkpZde0g9/+EMtWrRI/+///b+ga6FeR0khjwBEbFksFv34xz+Wz+fTypUrJbW9jlLbCNLhduzYwetoEgcPHtSYMWP0q1/9Svfdd5/uu+8+bd26VWvWrNF9992n1tZWHXfccerbt2+HX5O8jub2rW99K+h1C/W9tW/fvrLb7dEuDx0YNmyYJGnWrFmBtptuukkpKSn68MMPJfEzMt48//zzGjhwoK688sqgdv/PyCNfS35Gmsfu3bu1evVq3XzzzbJarZKk4447TldeeaX++te/Bh4n689Igjt6ZPLkyVq2bJkOHjwYaFuyZIkmTZqk1NTUGFaGw7388su6/vrr9eyzz+qGG25od33y5MnasmWL1q9fH2hbsmSJBg4cqLFjx0azVISwf//+dm1btmzRoUOHAtPFxo8frwEDBgR+uEnSqlWr1NjYqMmTJ0etVoR26aWXBkba/W9Op1OXX3653n//ffXv3199+/bVOeecE/Q6ejweLVu2jNfRRPbt2xf0+NChQ/q///s/5eXlBdomT56st956K2iEb8mSJTr33HMDo0aIrQsvvFBScJhrbGzUN998oyFDhkhqex23b98edE74kiVLlJGRoTPPPDO6BeOofD6fnn/+eV133XWB4Od35plnKj09Peh760cffaQdO3bwvdUkbDab+vXrp23btgW1b926NfD1mNQ/I2O9Ox7Mq7W11XjvvfeM9957zzjhhBOM66+/3njvvfeM9evXB/rs3r3bGDp0qFFUVGT89a9/Ne644w4jLS3NqKysjGHlONwbb7xh9OnTx7jlllsCr+d7771nrFmzJqjflClTjFNOOcV4+eWXjSeffNKwWq3Gb37zmxhVjSO99957xtlnn20sWrTIePvtt41FixYZI0eONMaOHRt01M2jjz5qDBgwwFiwYIGxePFiY/jw4cYVV1wRw8rRmY52lV+1apXRr18/46677jKWLFliTJkyxTjhhBM4sshEvv/97xv33HOPsWTJEuOVV14xLrjgAmPgwIFGdXV1oE9TU5NxwgknGBdffLHx17/+1fiP//gPo1+/fsaqVatiWDmONHPmTCMvL8/485//bLz++uvGuHHjjDFjxhgejyfQp6ioyBg5cqTx0ksvGU8//bTRv39/4/HHH49h1ehIRUWFIcn49NNPO7w+f/5845hjjjGefvpp46WXXjJOPvlk47LLLotylTiaO+64wxg0aJDx1FNPGcuWLTPuu+8+w2KxGK+++mqgT7L+jLQYhmHE+o8HMKevvvpKV1xxRbv20aNH65lnngk83rZtmx555BFt3LhRxx13nG6//XZGaU3kN7/5jV5++eV27VlZWVqyZEng8YEDB/T444/r3Xff1THHHKNp06bp2muvjWap6MQnn3yiRYsWadOmTRoyZIjOO+88XX/99e3WdL344ot66aWX1NraqkmTJunHP/6x0tLSYlQ1OnPrrbfq5JNP1t133x3UvmbNGj355JNyuVwaNWqU7r33Xh1//PExqhJHam1t1aJFi7Ry5Ur5fD7l5eXpjjvuCIwK+W3fvl2PPvqoNmzYIIfDoR/96EeM0pqM1+vVwoUL9cYbbyglJUVnnnmm7rjjjqANdj0ej/7rv/5L77zzjvr3768f/OAHmjZtWgyrRkfmzp2rzz77TP/zP/8Tss+f/vQnLV68WAcOHNB5552nO++8s93oPGLH5/PpxRdf1Jtvvqldu3bphBNO0A9/+ENNmDAhqF8y/owkuAMAAAAAYGKscQcAAAAAwMQI7gAAAAAAmBjBHQAAAAAAEyO4AwAAAABgYgR3AAAAAABMjOAOAAAAAICJEdwBAAAAADAxgjsAAAAAACZGcAcAIIE9++yzuuaaa2JdBgAA6AGCOwAACWzr1q365JNPYl0GAADogT6xLgAAAETPQw89JK/XqxEjRmjJkiXau3evioqKVFxcLIvFEui3fv16Pfnkk/riiy80cuRI3XfffTrppJMC15cvX66FCxdq586dOvnkk3X33XfrlFNOCfp3Dh06JLvdrhUrVsjtduuaa67RzTffrP/+7/9WeXm5+vXrp5kzZ6qoqCioxr///e/6zW9+o9raWuXk5Ojmm2/Wueee2+vPDQAAZsWIOwAASaS2tlaPPvqo/vrXv+rmm2/WNddco3vvvVe/+93vAn1WrlypM888U3379tWcOXN05pln6vrrrw9cX7p0qS6++GLl5eXppz/9qb755hsVFBRoy5YtQf/OI488ovfee0+33HKLLrnkEs2aNUvjxo1TZWWl/uM//kNnnXWWpk6dqurq6sD7/e1vf9N5552nESNG6MEHH9S4ceM0depUvf7661F5fgAAMCOLYRhGrIsAAAC944EHHtDixYu1adMmSdKNN96oDz/8UBs3blRqaqok6bbbblN9fb3Ky8slSWPGjNF3v/vdoDDv8XhktVolSaNHj9Z5552nX//614HrY8eO1emnn66FCxcG/TufffaZUlLaxgnOPvts7dmzR+vXrw+M7ufn5+vaa6/VvffeK0k644wzdO211+onP/lJ4N6PPfaYFi9erLVr1/bKcwQAgNkxVR4AgCRz+umnB0K7JA0dOlSVlZWSpK+//lrr16/Xr371q6D38Yd2j8ej6upqPfroo0HXp0yZojfeeKPdv+MP7ZLkcDiUm5sbNCXf4XCooaFBktTc3KyqqiodPHhQf/3rX2UYhgzDUFNTk7Zt2xaBjxwAgPhEcAcAIMn07ds36LHFYpF/At7+/fslSRkZGR2+7969e2UYho499tig9mOPPVYtLS2d/jtH+7f37t0rSZo1a5bOOOOMdv0AAEhWBHcAABDwrW99S+np6Vq/fr3OPvvsdtcHDx6sjIwMbdy4URMnTgy0b9y4UcOHD+/Rv52dna309HTt3btX48aN69G9AABIJGxOBwAAAlJTUzVz5kw9+uij+vzzzyVJXq9XTz75ZKDPzTffrMcff1yNjY2SpI8//liLFy/WzTff3KN/u0+fPpo1a5bmzZunjz/+OND+xRdf6Nlnn+3RvQEAiGeMuAMAgCAPP/ywmpubNWbMGJ100klqbGzUbbfdFrheWlqqTZs2KTc3VyeeeKLq6uo0e/ZsXXPNNT3+t3/1q1+ptbVVEyZMUE5OjjwejwYMGKAnnniix/cGACBesas8AAAJbNu2bdq1a5dOO+00SW3HtEkKmta+Y8cONTU1KS8vL+h99+zZoy1btmjEiBHt1rRL0vbt27Vz507l5uZq0KBBQdc6+nc2bdqklJSUoPPgP//8c1mtVp144olB7793715t2rRJgwcP1tChQ8P4yAEASBwEdwAAAAAATIw17gAAAAAAmBjBHQAAAAAAEyO4AwAAAABgYgR3AAAAAABMjOAOAAAAAICJEdwBAAAAADAxgjsAAAAAACZGcAcAAAAAwMQI7gAAAAAAmBjBHQAAAAAAEyO4AwAAAABgYgR3AAAAAABMjOAOAAAAAICJEdwBAAAAADAxgjsAAAAAACZGcAcAAAAAwMQI7gAAAAAAmBjBHQAAAAAAEyO4AwAAAABgYgR3AAAAAABMjOAOAAAAAICJEdwBAAAAADAxgjsAAAAAACZGcAcAAAAAwMQI7gAAAAAAmBjBHQAAAAAAEyO4AwAAAABgYgR3AAAAAABMjOAOAAAAAICJEdwBAAAAADAxgjsAAAAAACZGcAcAAAAAwMQI7gAAAAAAmBjBHQAAAAAAEyO4AwAAAABgYgR3AAAAAABMjOAOAAAAAICJEdwBAAAAADAxgjsAAAAAACZGcAcAAAAAwMQI7gAAAAAAmFifWBdgFj6fTzt27FB6erosFkusywEAAAAAJDjDMNTS0qLjjjtOKSmhx9UJ7v+0Y8cO5eTkxLoMAAAAAECS2bp1q4YOHRryOsH9n9LT0yW1PWEZGRkxrgYAAAAAkOiam5uVk5MTyKOhmCK4f/rpp/r88891zjnnaMiQIe2uG4ahtWvXaufOncrLy9OwYcPC6nM0/unxGRkZBHcAAAAAQNR0tlw7ppvTvfPOO5owYYKmTp2qa665Rhs2bGjXp7m5WRMnTtRll12m+fPna9SoUXrggQe63QcAAAAAgHgU0xH3PXv2aO7cucrNzQ25vvyBBx7Qzp07tXHjRg0cOFDvvvuuzj33XE2aNEmTJk3qch8AAAAAAOJRTEfcr7zySk2cODHkdcMwVFZWpptvvlkDBw6UJJ1zzjkaO3asysrKutwHAAAAAIB4ZYo17qFs27ZNe/bs0ejRo4PaR48erXXr1nW5T0daW1vV2toaeNzc3ByxugEAAAAAiJSYjrh3xu12S5IGDRoU1J6VlaWvv/66y306MnfuXNlstsAbR8EBAAAAAMzI1ME9LS1NkrR///6g9r1798pqtXa5T0fmzJkjt9sdeNu6dWskSwcAAAAAICJMPVU+JydHffr0UX19fVB7fX29TjrppC736UhaWlog9AMAAAAAYFamHnG3Wq0677zz9MorrwTadu/erRUrVmjKlCld7gMAAAAAQLyK6Yj7li1b9NFHH6mpqUmS9O6772rXrl1yOp1yOp2SpEceeUQTJ07UD3/4Q40fP16LFi3SyJEjddNNNwXu05U+AAAAAADEo5iOuNfV1Wnx4sV66623dNVVV+nTTz/V4sWLVV1dHeiTn5+vjz/+WIMGDdK7776rq666Su+9917QNPeu9AEAAAAAIB5ZDMMwYl2EGTQ3N8tms8ntdisjIyPW5QAAAAAAElxXc6ip17gDAAAAAJDsTL2rPAAAAAAgvnl9hirrmtTY4lF2ulUFuZlKTbHEuqy4QnAHAAAAAPSKimqXSstr5HJ7Am0Om1UlRU4V5jliWFl8Yao8AAAAACDiKqpdKi6rCgrtktTg9qi4rEoV1a4YVRZ/CO4AAAAAgIjy+gyVlteoo53Q/W2l5TXy+tgrvSsI7gAAAACAiKqsa2o30n44Q5LL7VFlXVP0iopjBHcAAAAAQEQ1toQO7eH0S3YEdwAAAABARGWnWyPaL9kR3AEAAAAAEVWQmymHzapQh75Z1La7fEFuZjTLilsEdwAAAABARKWmWFRS5JSkduHd/7ikyMl57l1EcAcAAAAARFxhnkMLpufLbgueDm+3WbVgej7nuHdDn1gXAAAAAABITIV5Dk122lVZ16TGFo+y09umxzPS3j0EdwAAAABAr0lNsWj88KxYlxHXmCoPAAAAAICJEdwBAAAAADAxgjsAAAAAACZGcAcAAAAAwMTYnA4AAAAAEojXZ7CLe4IhuAMAAABAgqiodqm0vEYutyfQ5rBZVVLk5Nz0OMZUeQAAAABIABXVLhWXVQWFdklqcHtUXFalimpXjCpDTxHcAQAAACDOeX2GSstrZHRwzd9WWl4jr6+jHjA7gjsAAACAHvH6DK2q3a0l67ZrVe1uwmEMVNY1tRtpP5whyeX2qLKuKXpFIWJY4w4AAAAgbKypNofGltChPZx+MBdG3AEAAACEhTXV5pGdbo1oP5gLwR0AAABAt7Gm2lwKcjPlsFkV6tA3i9pmQhTkZkazLEQIwR0AAABAt7Gm2lxSUywqKXJKUrvw7n9cUuTkPPc4RXAHAAAA0G2sqTafwjyHFkzPl90WPB3ebrNqwfR89hyIY2xOBwAAAKDbWFNtToV5Dk122lVZ16TGFo+y09umxzPSHt8I7gAAAAC6zb+musHt6XCdu0VtI72sqY6+1BSLxg/PinUZiCCmygMAAADoNjOvqU7kc+UT+WOLhER9fhhxBwAAABAW/5rqI89xt8fwHPdEPlc+kT+2SEjk58diGEZi/Amih5qbm2Wz2eR2u5WRkRHrcgAAAIC44fUZplhT7T9X/siA468knjdoS+SPLRLi9fnpag5lqjwAAACAHvGvqb78tOM1fnhWzKbHJ+q58on8sUVCMjw/BHcAAAAAcS+Rz5VP5I/Nrydr05Ph+WGNOwAAAIC4l8jnyifyxyb1fG16oj8/EiPuAAAAABJAIp8rn8gfm39t+pEj5g1uj4rLqlRR7er0Hon8/PgR3AEAAADEPf+58qFW11vUNoobj+fKJ+rHFqm16Yn6/ByO4A4AAAAg7h1+rnwosTpXvqcO/9iOrN7/OB4/tkitTU/U5+dwBHcAAAAACaEwz6Fbzs7VkfksxSLdcnauKY8D66rCPIcWTM+X3RY83dtus5r2qLPORHJteiI+P4djczoAAAAACaGi2qWFf6trN/XaMKSFf6vT6ScMiusAV5jn0GSnXZV1TWps8Sg7vW36d7yOJEd6bXqiPT+HI7gDAAAAiHudrZe2qG299GSnPa6DXGqKReOHZ8W6jIjwr01vcHs6fN0sahsx787a9ER6fg7HVHkAAAAApsBZ3sklGdamRwoj7gAAAABijrO8k5N/bfqRr729G699MiC4AwAAAIgp/1neR46v+8/y7srmYslwlneiSuS16ZFCcAcAAAAQM5Fam94b66URPYm6Nj1SWOMOAAAAIGY4yxvoHMEdAAAAQMxwljfQOabKAwAAAIgZzvIGOkdwBwAAABAznOUNdI6p8gAAAABihrXpQOcI7gAAAABiirXpwNExVR4AAABAzLE2HQiN4A4AAADAFFibDnSMqfIAAAAAAJgYwR0AAAAAABMjuAMAAAAAYGIEdwAAAAAATIzN6QAAAIAo8PoMdkwHEBaCOwAAANDLKqpdKi2vkcvtCbQ5bFaVFDk5oxxAp5gqDwAAAPSiimqXisuqgkK7JDW4PSouq1JFtStGlQGIFwR3AAAAoJd4fYZKy2tkdHDN31ZaXiOvr6MeANCG4A4AAAD0ksq6pnYj7YczJLncHlXWNUWvKABxhzXuAAAAQC9pbAkd2sPph65hI0AkGoI7AAAA0Euy060R7YfOsREgEhFT5QEAAIBeUpCbKYfNqlBjvRa1hcqC3MxolpWw2AgQiYrgDgAAAPSS1BSLSoqcktQuvPsflxQ5mcYdAWwEiERGcAcAAKbj9RlaVbtbS9Zt16ra3fyijbhWmOfQgun5stuCp8PbbVYtmJ7P9O0IYSNAJDLWuAMAAFNhfSoSUWGeQ5OddjZM60VsBIhERnAHAACm4V+feuT4un99KqOTiGepKRaNH54V6zISFhsBIpHFzVR5wzC0b9++o/bx+Xzau3dvlCoCAACRxPpUAD3BRoBIZKYP7jt27NDUqVN1zDHHKDs7W1lZWbr//vtlGP/6oW0Yhu6//34NHDhQmZmZys3N1dKlS2NYNQAA6C7WpwLoCTYCRCIzfXCfMWOGtm/fri1btmjfvn16/fXX9fjjj2vRokWBPr/+9a/19NNP66233tL+/ftVXFysK6+8Uv/4xz9iWDkAAOgO1qcC6Ck2AkSiMv0a940bN+qGG25Qdna2JGnixIkaOXKkPvvss0CfJ598UjNmzNC4ceMkST/5yU+0YMECPfvss5o/f35M6gYAAN3D+lQAkcBGgEhEpg/us2bN0m9/+1tNnjxZJ554ot566y1t3bpV1113nSTpq6++0ubNmzVhwoSg9zv77LO1Zs2aWJQMAADC4F+f2uD2dLjO3aK2UTPWpwLoDBsBItGYPrjfcccdWrdunSZMmKD+/fvL6/Xq6aef1umnny6pLbhL0pAhQ4Leb8iQIVq9enXI+7a2tqq1tTXwuLm5uReqBwAAXeVfn1pcViWLFBTeWZ8KAEhmpl/jfvXVV2vLli3asWOH9u/frxUrVujOO+/Uc889J0myWNp+eHu93qD3O3TokFJSQn94c+fOlc1mC7zl5OT03gcBAAC6hPWpAAC0ZzEO357dZHbu3Cm73a4lS5bosssuC7TfdNNN2rhxo1atWiW3262BAwfq5Zdf1jXXXBPoM23aNO3cuVMrV67s8N4djbjn5OTI7XYrIyOj9z4oAADQKa/PYH0qACDhNTc3y2azdZpDTT1Vvn///pKk/fv3B7Xv27dPAwYMkCTZbDaNHj1ay5cvDwR3r9erlStXatasWSHvnZaWprS0tF6qHAAA9ATrUwEA+BdTB/eMjAxdeuml+tnPfia73a6TTjpJb731ll599VU9++yzgX7333+/pk+fru9973saP3685s2bp0OHDqm4uDiG1QMAAAAA0HOmniovSW63Ww8//LCWLVum3bt368QTT9TMmTN1ww03BPX7/e9/ryeeeEI7d+7UqaeeqkcffVRjxozp8r/T1SkKAAAAAABEQldzqOmDe7QQ3AEAAAAA0dTVHGr6XeUBAAAAAEhmBHcAAAAAAEyM4A4AAAAAgIkR3AEAAAAAMDGCOwAAAAAAJmbqc9wBAIgWr89QZV2TGls8yk63qiA3U6kplliXBQBIAPyMQU8R3AEASa+i2qXS8hq53J5Am8NmVUmRU4V5jhhWBgCId/yMQSQwVR4AkNQqql0qLqsK+oVKkhrcHhWXVami2hWjygAA8Y6fMYgUgjsAIGl5fYZKy2tkdHDN31ZaXiOvr6MeAACExs8YRBLBHQCQtCrrmtqNghzOkORye1RZ1xS9ogAACYGfMYgkgjsAIGk1toT+hSqcfgAA+PEzBpFEcAcAJK3sdGtE+wEA4MfPGEQSwR0AkLQKcjPlsFkV6kAei9p2/i3IzYxmWQCABMDPGEQSwR0AkLRSUywqKXJKUrtfrPyPS4qcnLULAOg2fsYgkgjuAICkVpjn0ILp+bLbgqcq2m1WLZiezxm7AICw8TMGkWIxDIPzByQ1NzfLZrPJ7XYrIyMj1uUAAKLM6zNUWdekxhaPstPbpi4yCgIAiAR+xiCUrubQPlGsCQAA00pNsWj88KxYlwEASED8jEFPEdwBAAAAwAQYmUcoBHcAAAAAiLGKapdKy2vkcv/rXHeHzaqSIidr4cHmdAAAAAAQSxXVLhWXVQWFdklqcHtUXFalimpXjCqDWRDcAQAAACBGvD5DpeU16mjHcH9baXmNvD72FE9mBHcAAAAAiJHKuqZ2I+2HMyS53B5V1jVFryiYDsEdAAAAAGKksSV0aA+nHxITwR0AAAAAYiQ73RrRfkhMBHcAAAAAiJGC3Ew5bFaFOvTNorbd5QtyM6NZFkyG4A4AAAAAMZKaYlFJkVOS2oV3/+OSIifnuSc5gjsAAAAAxFBhnkMLpufLbgueDm+3WbVgej7nuEN9Yl0AAAAAACS7wjyHJjvtqqxrUmOLR9npbdPjGWmHRHAHAAAAAFNITbFo/PCsWJcBE2KqPAAAAAAAJkZwBwAAAADAxAjuAAAAAACYGMEdAAAAAAATI7gDAAAAAGBiBHcAAAAAAEyM4A4AAAAAgIkR3AEAAAAAMDGCOwAAAAAAJkZwBwAAAADAxAjuAAAAAACYGMEdAAAAAAAT6xPrAgCgM16focq6JjW2eJSdblVBbqZSUyyxLgsAAACICoI7AFOrqHaptLxGLrcn0OawWVVS5FRhniOGlQEAAADRwVR5AKZVUe1ScVlVUGiXpAa3R8VlVaqodsWoMgAAACB6CO4ATMnrM1RaXiOjg2v+ttLyGnl9HfUAAAAAEgfBHYApVdY1tRtpP5whyeX2qLKuKXpFAQAAADFAcAdgSo0toUN7OP0AAACAeEVwB2BK2enWiPYDAAAA4hXBHYApFeRmymGzKtShbxa17S5fkJsZzbIAAACAqCO4AzCl1BSLSoqcktQuvPsflxQ5Oc8dAAAACY/gDsC0CvMcWjA9X3Zb8HR4u82qBdPzOccdAAAASaFPrAsAgKMpzHNostOuyromNbZ4lJ3eNj2ekXYAAAAkC4I7ANNLTbFo/PCsWJcBAAAAxART5QEAAAAAMDGCOwAAAAAAJkZwBwAAAADAxAjuAAAAAACYGMEdAAAAAAATI7gDAAAAAGBiBHcAAAAAAEyM4A4AAAAAgIkR3AEAAAAAMDGCOwAAAAAAJkZwBwAAAADAxAjuAAAAAACYGMEdAAAAAAATI7gDAAAAAGBiBHcAAAAAAEyM4A4AAAAAgIkR3AEAAAAAMLG4CO579uzRT3/6U40bN06TJk3S4sWL2/VZunSpLrroIp122mm67rrrtHnz5hhUCgAAAABAZJk+uDc1NenMM8/UmjVrNHfuXM2dO1dLly7VBx98EOjz5ptvaurUqZo8ebKefvppHThwQBMnTtSePXtiWDkAAAAAAD1nMQzDiHURRzN79my98cYb2rhxo/r37x9oP3TokPr06SNJKigo0He+8x39z//8jyTp4MGDstvtuueeezRnzpwu/TvNzc2y2Wxyu93KyMiI/AcCAAAAAMBhuppDTT/ivnjxYk2fPj0otEsKhPa9e/dq7dq1KiwsDFzr16+fLrjgAr3zzjtRrRUAAAAAgEgzdXD/6quvtHv3bp144omaMWOGTj/9dF1yySV6+eWXA322bdsmwzDkcDiC3tdut2vbtm0h793a2qrm5uagNwAAAACx4/UZWlW7W0vWbdeq2t3y+kw9ORiImj6xLuBoDh48KEm655579Itf/EL//u//rjVr1ui6667Tnj17dOutt8rr9UpqG2U/XFpamg4dOhTy3nPnzlVpaWnvFQ8AAACgyyqqXSotr5HL7Qm0OWxWlRQ5VZjnOMp7AonP1CPumZmZSklJ0eWXX67bb79d+fn5Ki4u1g033KCFCxdKkrKysiRJu3btCnrfXbt2Ba51ZM6cOXK73YG3rVu39t4HAgAAACCkimqXisuqgkK7JDW4PSouq1JFtStGlQHmYOrg3r9/f+Xl5SkzMzOoPSsrS3v37pXUNiV+6NChWr16dVCfVatW6bvf/W7Ie6elpSkjIyPoDQAAAEB0eX2GSstr1NGkeH9baXkN0+aR1Ewd3KW2XeVfeukl1dXVSZLq6+v14osv6uKLLw70ufXWW/Xb3/5WX3zxhSTpueee06ZNmzRz5syY1AwAAACgayrrmtqNtB/OkORye1RZ1xS9ogCTMfUad0maOXOmvvzyS40ePVqDBg3SV199pWnTpunhhx8O9LnvvvtUX1+vvLw82Ww2HTp0SC+88IJGjx4dw8oBAAAAdKaxJXRoD6cfkIhMf46734EDB7Rz504dd9xx7Tai82tubtbu3bs1dOhQ9e3bt1v35xx3AAAAIPpW1e7WtEWrO+33p5njNH546D2sgHjU1Rxq+hF3v/79+2vYsGFH7cNadQAAACC+FORmymGzqsHt6XCdu0WS3WZVQW5mB1eB5GD6Ne4AYDacMQsAyYXv+70rNcWikiKnpLaQfjj/45Iip1JTjrwKJI+4GXEHADPgjFkASC5834+OwjyHFkzPb/dc23muAUlxtMa9t7HGHUBn/GfMHvlN0//3/wXT8/nFAgASCN/3o8/rM1RZ16TGFo+y09umxzPSjkTW1RzKVHkA6ALOmAWA5ML3/dhITbFo/PAsXX7a8Ro/PIvQDvwTwR0AuoAzZgEgufB9H4CZENwBoAs4YxYAkgvf9wGYSdjBfevWrZo/f75uu+22QNvbb7+tb775JiKFAYCZZKdbI9oPAGBufN8HYCZhBffVq1dr1KhR+stf/qJnnnkm0L506VItXLgwYsUBgFn4z5gNtdLOorZdhjljFgASA9/3AZhJWMH9nnvu0dy5c/Xhhx8Gtc+YMUNPPfVURAoDADPhjFkASC583wdgJmEdB5eeni6Xy6Vjjz1WKSkp8vl8kqR9+/Zp0KBBOnjwYMQL7W0cBwegKzjPFwCSC9/3AfSmrubQPuHcPC0tTU1NTTr22GOD2tevX6/s7OxwbgkAcaEwz6HJTjtnzAJAkuD7PgAzCCu4T506VXPmzNFzzz0ni6Xtm9aGDRt0yy236Morr4xogQBgNv4zZgEAyYHv+wBiLaw17vPmzdPmzZuVlZUln8+nnJwc5eXlKT09Xb/85S8jXSMAAAAAAEkrrBH3QYMG6YMPPtCKFSu0du1a+Xw+5efn66KLLlJKCkfDAwAAAAAQKWFtTpeI2JwOAAAAABBNvbo53SuvvBLyWlpamk466SSNGjUqnFsDAAAAAIDDhBXcZ82apd27d0uS+vXrJ0mBI+AGDBigffv2aezYsVq6dKmGDBkSoVIBAGbg9RnsrgwAABBFYS1I/9nPfqaJEydq/fr18ng88ng8+vvf/66zzjpLDz/8sDZt2qT+/fvr7rvvjnS9AIAYqqh2acKjKzVt0WrdsXidpi1arQmPrlRFtSvWpQEAACSssNa4jxw5UsuWLVNubm5Q++bNmzVlyhR9/vnnqqmp0YUXXqht27ZFrNjexBp3ADi6imqXisuqdOQPDf9Y+4Lp+SrMc0S7LAAAgLjV1Rwa1oh7fX29+vfv3679mGOOUX19vSRp6NCh2r9/fzi3BwCYjNdnqLS8pl1olxRoKy2vkdfHfqcAAACRFlZwHzt2rH70ox8F1rlL0q5du3Tbbbdp7NixkqT33ntPZ599dmSqBADEVGVdk1xuT8jrhiSX26PKuqboFQUAQA94fYZW1e7WknXbtap2N398hqmFtTndokWLNHXqVB133HEaNmyYDMPQli1blJubq9dff12S9MUXX+jxxx+PZK0AgBhpbAkd2sPpBwBALFVUu1RaXhP0R2mHzaqSIifLvmBKYQX3U045RRs2bFBFRYU2btwoi8WiU045RYWFhUpNTZUk/fjHP45knQCAGMpOt0a0HwAAsRJqz5YGt0fFZVXs2QJTCiu4S1JqaqouueQSXXLJJZGsBwBgQgW5mXLYrGpwezpc526RZLe1HQ0HAIBZdbZni0Vte7ZMdto56hSm0uXg/sYbb0iSLr300sD/h3LppZf2rCoAgKmkplhUUuRUcVmVLFLQLzz+X2tKipz8kgMAMLXu7NkyfnhW9AoDOtHl4H711VdLkjweT+D/Q/F4WOMIAImmMM+hBdPz260JtLMmEAAQJ9izBfGqy8H98DBOMAeA5FSY59Bkp12VdU1qbPEoO71tejwj7QCAeMCeLYhXYa1xHzZsmL788stuXwMAxL/UFAvTBwEAcYk9WxCvwjrHfcuWLR22Hzp0SNu3b+9RQQAAAADQG/x7tkj/2qPFjz1bYGbdGnGvqKjo8P8lyefzafXq1TrppJMiUxkAAAAARBh7tiAeWQzD6GiWSIf69GnL+V6vN3Beu1/fvn01bNgwPfbYY3F5RFxzc7NsNpvcbrcyMjJiXQ4AAACAXuT1GezZgpjrag7t1oj7oUOHJEl2u10NDQ09qxAAAAAAYoQ9WxBPwlrjfmRob21t1fLly7Vp06aIFAUAAAAAANqEFdyXLVum66+/XpJkGIYuuugiXXjhhTrllFO0ZMmSiBYIAAAAAEAyCyu4P/DAA7rzzjslSWvWrNHnn3+uxsZGPf/883rooYciWiAAAAAAAMksrOC+YcMGfec735EkrVixQldccYUGDx6sq6++Wp999llECwQAAAAAIJmFFdyHDBmidevWyTAMvfrqqzr//PMlSS6XS9nZ2REtEAAAAACAZNatXeX9brnlFhUWFuq4447T3r17NWXKFEnSa6+9pquuuiqiBQIAAAAAkMzCCu7333+/TjvtNG3ZskVTp07VMcccI0lKSUnRnDlzIlogAAAAAADJzGIYhhHrIsygqwffAwAAAAAQCV3NoWGtcZekrVu3av78+brtttsCbW+//ba++eabcG8JAAAAAACOEFZwX716tUaNGqW//OUveuaZZwLtS5cu1cKFCyNWHAAAAAAAyS6s4H7PPfdo7ty5+vDDD4PaZ8yYoaeeeioihQEAAAAAgDA3p1u3bp3+93//V5JksVgC7bm5uaqtrY1MZQAAAAAAILwR97S0NDU1NbVrX79+Pee4AwAAAAAQQWEF96lTp2rOnDlqbW0NjLhv2LBBt9xyi6688sqIFggAAAAAQDILK7jPmzdPmzdvVlZWlnw+n3JycpSXl6f09HT98pe/jHSNAAAAAAAkrbDWuA8aNEgffPCBVqxYobVr18rn8yk/P18XXXSRUlLCPmEOAAAAAAAcwWIYhtHddxo/frxWrVrVG/XETFcPvgcAAAAAIBK6mkPDGnGvqalRS0uL0tPTwy4QAIBo8foMVdY1qbHFo+x0qwpyM5WaYun8HQEAAEwgrOB+6aWX6ve//71uu+22SNcDAEBEVVS7VFpeI5fbE2hz2KwqKXKqMM8Rw8oAAAC6JqzgnpqaqtmzZ+vPf/6znE6n+vXrF3T9iSeeiERtAAD0SEW1S8VlVTpyTViD26PisiotmJ5PeAcAAKYXVnBvamrSJZdcIkmqr6+PaEEAAESC12eotLymXWiXJEOSRVJpeY0mO+1MmwcAAKbW7eDu9Xo1b948GYahkSNHqk+fsLI/AAC9qrKuKWh6/JEMSS63R5V1TRo/PCt6hQEAAHRTt85uq62tVV5enpxOp0aNGqVTTz1VtbW1vVUbAABha2wJHdrD6QcAABAr3Qru9957rwYNGqQ333xTb775pmw2m+69997eqg0AgLBlp1sj2g8AACBWujXP/f3339cHH3yg4cOHS5JGjBihs88+u1cKAwCgJwpyM+WwWdXg9nS4zt0iyW5rOxoOAADAzLo14r5z585AaJfagntDQ0PEiwIAoKdSUywqKXJKagvph/M/LilysjEdAAAwvW4Fd0nyeDyBt9bW1nZtHg9rBQEA5lCY59CC6fmy24Knw9ttVo6CAwAAcaPbW8L379+/0zbD6GhSIgAA0VeY59Bkp12VdU1qbPEoO71tejwj7QAAIF50K7j/6U9/6q06AADoNakpFo58AwAAcatbwf0HP/hBb9UBAAAAAAA60O017gAAAAAAIHoI7gAAAAAAmBjBHQAAAAAAE+v2rvIAAODovD6DXeyBXsbXGYBkQnAHACCCKqpdKi2vkcvtCbQ5bFaVFDk5Nx6IEL7OACQbpsoDABAhFdUuFZdVBYUJSWpwe1RcVqWKaleMKgMSB19nAJIRwR0AgAjw+gyVltfI6OCav620vEZeX0c9AHQFX2cAklVcBff33ntPM2bM0EsvvdTuWn19vR566CHNnj1bzz77rFpbW2NQIQAgWVXWNbUbATycIcnl9qiyril6RQEJhq8zAMkqboL7V199peuuu06vv/66Vq1aFXStpqZGY8aMUVVVlXJycvSb3/xGkyZN0jfffBOjagEAyaaxJXSYCKcfgPb4OgOQrOIiuBuGoRtuuEGzZ8/W0KFD212/9957lZ+fr1dffVX33nuvli9fro8//lh/+MMfYlAtACAZZadbI9oPQHt8nQFIVnER3OfPny+Px6O77rqr3bWDBw9q2bJl+sEPfiCLpe0IEIfDofPOO0/l5eXRLhUAkKQKcjPlsFkV6jAqi9p2vS7IzYxmWUBC4esMQLIyfXD/6KOP9Nhjj+n3v/99IJgfrr6+Xt98842GDRsW1J6bm6tNmzaFvG9ra6uam5uD3gAACFdqikUlRU5Jahcq/I9LipycMw30QHe/zrw+Q6tqd2vJuu1aVbubTesAxC1TB/fm5mZNmzZNTz75ZIdT5CXpwIEDkqT09PSg9vT09MC1jsydO1c2my3wlpOTE7nCAQBJqTDPoQXT82W3BU/TtdusWjA9n/OlgQjo6tdZRbVLEx5dqWmLVuuOxes0bdFqTXh0JcfFAYhLFsMwTPunx//+7//WnDlzdNVVVwXaXnvtNTkcDo0bN04LFy7U1q1bNWzYML355puaMmVKoN/MmTP18ccfq6qqqsN7t7a2Bu0839zcrJycHLndbmVkZPTeBwUASHhen6HKuiY1tniUnd42bZeRdiCyjvZ15j/r/chfcv1fhfwhDYBZNDc3y2azdZpD+0Sxpm47++yzNW/evKC2t956KxDcLRaLcnJylJGRoZqamqDgvmHDBuXl5YW8d1pamtLS0nqtdgBA8kpNsWj88KxYlwEktFBfZ52d9W5R21nvk512/qAGIG6YOrg7nU45nc6gtqeeekqjRo3SjBkzJEkWi0XXXnutnnvuOc2aNUsDBgzQRx99pNWrV+tnP/tZLMoGgC5hVBYAIq87Z73zBzYA8cLUwb2rHn74YZ1//vkaM2aMRo8erRUrVqi4uDhoBB4AzKSi2qXS8pqgXy4dNqtKipxM3wSAHuCsdwCJKO6Ce0lJiRyO4F9qBw8erLVr1+qdd97Rzp079eCDD+q0006LTYEA0IlQay8b3B4Vl1Wx9hIAeoCz3gEkorgL7ldccUWH7X379tWFF14Y5WoAoHtYewkAvct/1nuD29Ph91qL2nag56x3APHE1MfBAUCi6c7aSwBA93X3rHcAiAcEdwCIItZeAkDv6+pZ7wAQL+JuqjwAxDPWXgJAdBTmOTTZaef0DgAJgeAOAFHE2ksAiJ5QZ70DQLxhqjwARBFrLwEAANBdBHcAiDLWXgIAAKA7mCoPADHA2ksAAAB0FcEdAGKEtZcAAADoCqbKAwAAAABgYgR3AAAAAABMjOAOAAAAAICJEdwBAAAAADAxNqcDAABR5fUZnKgAAEA3ENwBAEDUVFS7VFpeI5fbE2hz2KwqKXKqMM8Rw8oAADAvpsoDAICoqKh2qbisKii0S1KD26PisipVVLtiVBkAAOZGcAcAAL3O6zNUWl4jo4Nr/rbS8hp5fR31AAAguRHcAQBAr6usa2o30n44Q5LL7VFlXVP0igIAIE6wxh1IImwIBSBWGltCh/Zw+gEAkEwI7kCSYEMoALGUnW6NaD8AAJIJU+WBJMCGUABirSA3Uw6bVaHm+FjU9sfEgtzMaJYFAEBcILgDCY4NoQCYQWqKRSVFTklqF979j0uKnCzfAQCgAwR3IMGxIRQAsyjMc2jB9HzZbcHT4e02qxZMz2fZDgAAIbDGHUhwbAgFwEwK8xya7LSzUSYAAN1AcAcSHBtCATCb1BSLxg/PinUZAADEDabKAwmODaEAAACA+EZwBxIcG0IBAAAA8Y3gDiQBNoQCAAAA4hdr3IEkwYZQAAAAQHwiuANJhA2hAAAAgPjDVHkAAAAAAEyM4A4AAAAAgIkR3AEAAAAAMDGCOwAAAAAAJsbmdADC4vUZ7FAPAAAARAHBHUC3VVS7VFpeI5fbE2hz2KwqKXJyJjwAAAAQYUyVB9AtFdUuFZdVBYV2SWpwe1RcVqWKaleMKgMAAAASE8EdQJd5fYZKy2tkdHDN31ZaXiOvr6MeAAAAAMJBcAfQZZV1Te1G2g9nSHK5Paqsa4peUQAAAECCI7gD6LLGltChPZx+AAAAADpHcAfQZdnp1oj2AwAAANA5gjuALivIzZTDZlWoQ98s+v/t3XtU1HX+x/HXDF7wxrhqCN4KSU0arxQu2uYtjC7k6aJrRXfLZbeym5vuH7Fue+p4zD21XWi3TLelUteytD3RvRTzLiqouWVkqCAqNuBlSGc+vz+I+TUCijrMfGd4Ps7hj/l+P8Db4Ts4Lz7fz+dds7t8SkKnYJYFAAAARDSCO4BGi7LblJ2RJEl1wnvt4+yMJPq5AwAAAAFEcAdwRtKd8crJHKo4h//t8HGOaOVkDqWPOwAAABBgLUJdAIDwk+6MV1pSnNYWV6i8yq3YDjW3xzPTDgAAAAQewR3AWYmy25Sa2DnUZQAAAAARj+AORAiP1zADDgAAAEQggjsQAfKKSjVz2TaVuv6/f3q8I1rZGUmsOQcAAADCHJvTAWEur6hUWbkb/UK7JJW53MrK3ai8otIQVQYAAAAgEAjuQBjzeI1mLtsmU8+52mMzl22Tx1vfCAAAAADhgOAOhLG1xRV1Ztp/yUgqdbm1trgieEUBAAAACCiCOxDGyqsaDu1nMw4AAACA9RDcgTAW2yE6oOMAAAAAWA/BHQhjKQmdFO+IVkNN32yq2V0+JaFTMMsCAAAAEEAEdyDEPF6jVTsP6r1Ne7Rq58Ez2kguym5TdkaSJNUJ77WPszOS6OcOAAAAhDH6uAMhFIj+6+nOeOVkDq3zdeLo4w4AAABEBJsxhj5RkiorK+VwOORyuRQTExPqctAM1PZfP/kFWDs3npM59IxCt8drtLa4QuVVbsV2qLk9npl2AAAAwLoam0OZcQdC4HT9122q6b+elhTX6PAdZbcpNbFzIMsEAAAAYAGscQdCgP7rAAAAABqL4A6EAP3XAQAAADQWwR0IAfqvAwAAAGgsgjsQAvRfBwAAANBYBHcgBOi/DgAAAKCxCO5AiNT2X49z+N8OH+eIPuNWcAAAAAAiF+3ggBBKd8YrLSmO/usAAAAAGkRwB0KM/usAAAAAToVb5QEAAAAAsDCCOwAAAAAAFkZwBwAAAADAwgjuAAAAAABYWFhsTldWVqZ169apRYsWSk5OVmxsbJ0xJ06c0IoVK7Rv3z4NGDBAF198cQgqBfBLHq9hx3wAAADgHFk6uBtjdPfdd+vTTz/V4MGDdfToUa1atUrPPPOMsrKyfOMqKiqUlpamiooKOZ1Offnll7r77rv17LPPhq54oJnLKyrVzGXbVOpy+47FO6KVnZFEj3oAAADgDFg+uI8cOVKvvPKKWrSoKXXu3LmaMmWK0tPTlZCQIEn605/+pGPHjqmwsFDt27fXmjVrlJqaqquuukpXXnllKP8JQLOUV1SqrNyNMicdL3O5lZW7UTmZQwnvAAAAQCNZeo273W7XnXfe6QvtkpSRkSGPx6Pt27dLqgn3CxYs0N1336327dtLkoYNG6Zhw4bpzTffDEndQHPm8RrNXLatTmiX5Ds2c9k2ebz1jQAAAABwMksH9/rk5eXJbrfL6XRKkkpKSuRyueqsaXc6nSoqKmrw61RXV6uystLvA8C5W1tc4Xd7/MmMpFKXW2uLK4JXFAAAABDGwiq4f/vtt3r44Yf14IMPqlevXpIkl8slSerYsaPf2E6dOvnO1efpp5+Ww+HwffTs2bPJ6gaak/KqhkP72YwDAAAAmruwCe4//PCDrrjiCo0aNUqzZ8/2HW/Tpo0k6ciRI37jq6qqfOfqM2PGDLlcLt9HSUlJ0xQONDOxHaIDOg4AAABo7iy9OV2tkpISjRo1SkOGDNGCBQv81rz36tVLLVu21Pfff+/3Od9//70SExMb/JqtW7dW69atm6pkoNlKPv9XstukUy1ht9tqxgEAAAA4PcvPuO/evVujRo3SoEGDtGjRIrVs2dLvfKtWrZSWlqaFCxf6ju3bt0+fffaZrr322mCXCzR7G3YdOmVol2pC/YZdh4JTEAAAABDmLD3j7na7NWbMGB0+fFhXX3213njjDd+5ESNGqE+fPpKkWbNmacSIEZo4caJ+/etfa968eRo8eLDuuOOOUJUONFuscQcAAAACy9LB/cSJExo+fLgkaeXKlX7nevfu7QvuTqdTmzdv1muvvaYdO3ZoypQpmjx5cp3ZeQBNjzXuAAAAQGDZjDE0U5ZUWVkph8Mhl8ulmJiYUJcDhC2P1+iyWZ+pzOWut5e7TVKcI1r5j49RlN0W7PIAAAAAy2hsDrX8GncA4SXKblN2RpKkmpD+S7WPszOSCO0AAABAIxHcAQRcujNeOZlDFefwvx0+zhGtnMyhSnfGh6gyAAAAIPxYeo07gPCV7oxXWlKc1hZXqLzKrdgO0UpJ6MRMOwAAAHCGCO4AmkyU3abUxM6hLgMAAAAIa9wqDwAAAACAhTHjDkQIj9dwWzrQDPHaBwAg8hHcgQiQV1Sqmcu2qdTl9h2Ld0QrOyOJjeCACMZrHwCA5oFb5YEwl1dUqqzcjX5v3CWpzOVWVu5G5RWVhqgyAE2J1z4AAM0HwR0IYx6v0cxl22TqOVd7bOaybfJ46xsBIFzx2gcAoHkhuIcRj9do1c6Dem/THq3aeZA3ZNDa4oo6s22/ZCSVutxaW1wRvKIANDle+wAANC+scQ8TrGNEfcqrGn7jfjbjAIQHXvsAADQvzLiHAdYxoiGxHaIDOg5AeOC1DwBA80JwtzjWMeJUUhI6Kd4RrYYaP9lUc2dGSkKnYJYFoInx2gcAoHkhuFsc6xhxKlF2m7IzkiSpzhv42sfZGUn0dAYiDK99AACaF4K7xbGOEaeT7oxXTuZQxTn8b4mNc0QrJ3MoeyAAEYrXPgAAzQeb01kc6xjRGOnOeKUlxWltcYXKq9yK7VBziyyzbUBk47UPAEDzQHC3uNp1jGUud73r3G2qmV1hHSOi7DalJnYOdRkAgozXPgAAkY9b5S2OdYxnhl73AAAAACINM+5hoHYd48l93OPo4+6HXvcAAAAAIpHNGMOUpKTKyko5HA65XC7FxMSEupx6ebyGdYwNqO11f/LFXPvssFETAAAAAKtpbA5lxj2MsI6xfqfrdW9TTa/7tKQ4/tABAAAAIOywxh1hj173AAAAACIZwR1hj173AAAAACIZwR1hj173AAAAACIZwR1hr7bXfUOr122q2V2eXvcAAAAAwhHBHWGPXveh4fEardp5UO9t2qNVOw/K46VBBQAAANAU2FUeEYFe98GVV1Ra57mO57kGAAAAmgR93H8WDn3ccXr0um96eUWlysrdWKf9Xu2znJM5lPAOAAAANAJ93NEs0eu+aXm8RjOXbasT2qWatns2STOXbVNaUhx/MAEAAAAChOAONKFIuwNgbXGF3+3xJzOSSl1urS2uCPofUIL5XEfazxUAAADWRnAHmkgkrgMvr2o4tJ/NuEAJ5nMdiT9XAAAAWBu7ygNNoHYd+Mmz02Uut7JyNyqvqDRElZ2b2A7RAR0XCMF8riP15woAAABrI7gDAXa6deBSzTrwcGyflpLQSfGO6Dpt92rZVDP7nJLQKSj1BPO5juSfKwAAAKyN4A4E2JmsAw83UXabsjOSJKlOeK99nJ2RFLT13sF8riP55woAAABrI7gDAWbVdeCBku6MV07mUMU5/G+Hj3NEB70VXDCf60j/uQIAAMC62JwOCDArrgMPtHRnvNKS4kK+s3own+vm8HMFAACANRHcgQCrXQde5nLXux7apprZ6WCtA28qUXZb0Fu+nSyYz3Vz+bkCAADAerhVHgiwM10H7vEardp5UO9t2qNVOw+yudkZCOaae6ut7wcAAEDzYTPGkBIkVVZWyuFwyOVyKSYmJtTlIAI0pt83PcEDgz7uAAAACEeNzaEE958R3NEUPF7T4Drw2p7gJ78Aa+drg73RW7g71XMdzt8LAAAAkYvgfoYI7ggmj9foslmfNdherHa9dP7jYwiEAAAAQIRqbA5ljTsQAvQEPzPsAwAAAIDmjF3lgRCgJ3jjsaYcAAAAzR0z7kAI0BO8cWr3ATj57oQyl1tZuRuVV1QaosoAAACA4CG4AyFQ2xO8odXrNtXMKjfnnuAer9HMZdvq7Zlee2zmsm3cNg8AAICIR3AHQoCe4KfXFPsAsFYeAAAA4Yg17kCIpDvjlZM5tM767TjWb0sK/D4ArJUHAABAuCK4AyGU7oxXWlIcPcHrEch9AGrXyp88v167Vj4ncyjhHQAAAJZFcAdCLMpuU2pi51CXYTm1+wCUudz1rnOv7XV/un0ATrdW3qaatfJpSXH8wQQAAACWxBp3AJYUqH0AmmKtPAAAABBMBHcAllW7D0Ccw/92+DhHdKNvbw/0WnkAAAAg2LhVHoClnes+AIFcKw8AAACEAsEdgOWdyz4AgVorDwAAAIQKt8oDiGiBWisPAAAAhArBHUDEC8RaeQAAACBUuFUeQLNwrmvlAQAAgFAhuANoNs5lrTwAAAAQKgR3oB4er2FmFgAAAIAlENyBk+QVlWrmsm0qdf1/X+94R7SyM5JYCw0AAAAg6NicDviFvKJSZeVu9AvtklTmcisrd6PyikpDVBkAAACA5orgDvzM4zWauWxbvb2+a4/NXLZNHm99IwAAAACgaRDcgZ+tLa6oM9P+S0ZSqcuttcUVwSsKAAAAQLNHcAd+Vl7VcGg/m3EAAAAAEAgEd+BnsR2iAzoOAAAAAAKB4A78LCWhk+Id0Wqo6ZtNNbvLpyR0CmZZAAAAAJo5gjvwsyi7TdkZSZJUJ7zXPs7OSKKfOwAAAICgIrgDv5DujFdO5lDFOfxvh49zRCsncyh93AEAAAAEXYtQFwBYTbozXmlJcVpbXKHyKrdiO9TcHs9MOwAAAIBQILgD9Yiy25Sa2DnUZQAAAABAZN0q73a7VVZWJq/XG+pSAAAAAAAIiIgI7l6vV1OnTlXHjh3Vr18/devWTYsXLw51WQAAAAAAnLOICO6zZ8/WG2+8ofXr1+vHH3/UE088oZtvvllbt24NdWkAAAAAAJyTiAjuL730kiZPniyn0ymbzabf//73uuCCC/TKK6+EujQAAAAAAM5J2Af38vJy/fDDDxo+fLjf8REjRmjdunUhqgoAAAAAgMAI++C+f/9+SVLnzv47gHfp0sV3rj7V1dWqrKz0+wAAAAAAwGrCPrjb7TX/hBMnTvgdP378uKKiohr8vKeffloOh8P30bNnzyatEwAAAACAsxH2wb1Hjx6SpLKyMr/jZWVl6t69e4OfN2PGDLlcLt9HSUlJk9YJAAAAAMDZCPvg3qFDBw0dOlQffvih79jx48f16aefauTIkQ1+XuvWrRUTE+P3AQAAAACA1bQIdQGB8MQTT+imm25ScnKyUlNTNWfOHEVFRSkrKyvUpQEAAAAAcE7CfsZdksaPH68FCxZo4cKFuvnmm1VdXa3ly5erS5cuoS4NAAAAAIBzYjPGmFAXYQUul0sdO3ZUSUkJt80DAAAAAJpcZWWlevbsqR9//FEOh6PBcRFxq3wgVFVVSRK7ywMAAAAAgqqqquqUwZ0Z9595vV7t3btXHTp0kM1mC3U5aGZq/9LGHR+IJFzXiERc14hEXNeINOF0TRtjVFVVpW7duvlandeHGfef2e12X2s5IFTocIBIxHWNSMR1jUjEdY1IEy7X9Klm2mtFxOZ0AAAAAABEKoI7AAAAAAAWRnAHLKB169bKzs5W69atQ10KEDBc14hEXNeIRFzXiDSReE2zOR0AAAAAABbGjDsAAAAAABZGcAcAAAAAwMII7gAAAAAAWBjBHQgiY4yKi4u1detWud3uBsft379f69atU3l5eRCrA86Ny+VSfn6+iouL6z1fUlKi9evXq7KyMsiVAWfn2LFjKigo0L59+xocs2PHDm3cuFHV1dVBrAw4O0ePHlVhYaGKiop07Nixesd4PB5t2bJFhYWF8nq9Qa4QOL3du3crPz9fhw8fbnDM999/r/Xr15/zGCshuANB8vrrr6tPnz4aO3asJkyYoLi4OL344ot1xk2bNk09e/bUnXfeqV69eunBBx8Ue0jC6owxuvXWWzVy5Eg999xzfufcbrduvPFG9evXT7fddpvi4uL0/PPPh6hSoHFmz56t2NhY3X777Ro+fLgmT56sEydO+M6XlpbqkksuUWpqqiZMmKDu3bvrgw8+CGHFwKn9/e9/V1xcnCZNmuR7H/Lyyy/7jSkoKFBiYqKuvvpqjRs3Tn379lVRUVGIKgb8rVq1SuPHj9eQIUP0m9/8Rl9//XWdMUeOHNHVV18tp9OpzMxMde3aVXPnzj3jMZZkAATFU089ZYqLi32PFy1aZGw2m8nPz/cdy83NNW3atDEbNmwwxhizefNm07ZtWzN37txglwuckTlz5pj09HQzcOBAM3XqVL9z06dPNz169DB79+41xhizZMkSI8msXr06BJUCp/fCCy+Ytm3bmhUrVviOzZ8/3xw+fNj3OD093QwfPtwcO3bMGGNMdna2iYmJMfv37w96vcDp7Ny500gy8+bN8x174YUXjM1mM3v27DHGGPPTTz+Z3r17mzvuuMMYY4zX6zUTJkwwF110kfF4PCGoGvD3j3/8wyxZssQUFRUZSWbdunV1xtx///2md+/evt/F//73v43dbjeFhYVnNMaKCO5ACHXp0sXMmjXL93jMmDHmpptu8hszadIkM2LEiGCXBjTa+vXrTffu3U1paakZNGhQneDetWtX8+c//9nvmNPpNFOmTAlilUDjHD9+3MTGxpo//vGPDY7Zs2ePsdls5t133/UdO3z4sGnTpo3JyckJRpnAGVmzZo2RZL7++mvfsYKCAiPJbNmyxRhjzEcffWQkmW+//dY3ZtOmTUaS3x+xgFDbvn17vcH9+PHjJiYmxjzzzDN+xxMSEsyjjz7a6DFWxa3yQIh89913qqio0IUXXug7VlBQoOTkZL9xKSkpKigoCHZ5QKNUVVVp0qRJevHFFxUXF1fn/N69e7Vv3z6ua4SNwsJClZeXKyMjQ+Xl5dq4caMOHTrkN2bTpk0yxvhd1+3atVP//v25rmFJl156qW666SZlZWXp/fff19KlS/WHP/xBt99+uwYMGCCp5j2Iw+FQYmKi7/MGDRqkVq1acV0jLHz33XeqrKys857j0ksv9V3DjRljVQR3IASOHz+uO++8UwMHDlRGRoakmjXCP/74ozp37uw3tnPnzjp69CgbH8GSsrKyNHbsWI0fP77e8xUVFZJU73Vdew6wkr1790qSFi9erIEDB+qee+5Rt27ddO+998rj8Ujiukb4sdlsysrK0q5duzRt2jRNmzZNBw4c0OTJk31jKioq6lzTEtc1wkdjfjeH8+/vFqEuAGhuPB6PbrnlFu3atUvLly9Xy5YtJdX8p9qiRYs6u83X7vpaOw6wiqVLl+r999/XokWLlJ+fL6lmw5e9e/cqPz9fl112me+6re+6btWqVdBrBk6n9potKipScXGx2rRpo+3btyslJUVOp1NTp071u67btGnj+9xjx47pvPPOC0ndwKls2bJF48aNU25uriZNmiRJmjdvnq644gpt2bJF/fr1U8uWLevteMPva4SLxrznCOf3Jcy4A0Hk8Xh06623as2aNfr88891/vnn+53v1auX9uzZ43dsz5496tGjh+x2Xq6wlhMnTsjpdOovf/mLpk+frunTp6u0tFQrV67U9OnT5fF41LNnT9nt9nqv6169eoWocqBhF1xwgSTpjjvu8IXy/v376/LLL9eKFSskyfe7m+sa4eKDDz6Qw+HwhXZJuuuuu9SiRQt9+OGHkmqu6wMHDuinn37yjTly5IhcLhfXNcJCY343h/Pvb5IAECQej0eZmZn66quv9MUXX6h37951xqSlpen999/3tX8zxmjp0qVKS0sLdrnAad1www3Kz8/3+7jwwgs1YcIE5efnKyoqSm3bttXw4cO1dOlS3+cdOXJEn3zyCdc1LKlv375KSEio901d7Wx6cnKyOnXq5HddFxYWqri4mOsalnTeeeepqqpKLpfLd+zAgQNyu92+63rs2LE6fvy48vLyfGOWLl0qu92uMWPGBL1m4Ex16dJFgwcP9vvdfOjQIS1fvtz3u7kxY6yKW+WBILn33nu1ZMkS/fOf/9TevXt96yi7d++uhIQESdLjjz+uhQsX6rbbbtNvf/tbvf322youLtbixYtDWTpwTv76178qLS1NM2bMUGpqqp5//nnFxsbqvvvuC3VpQL1mz56te+65R+3bt1efPn309ttv65tvvtGbb74pqeZWyyeffFKPPvqo2rdvr/j4eGVnZ2vcuHEEHFjS9ddfr+zsbF133XV65JFHZIzR7Nmzdf755+uaa66RJCUkJOh3v/udpkyZIpfLJY/Ho8cee0xTp05VfHx8iP8FgFRaWqqdO3fqhx9+kCRt3rxZbrdbCQkJ6t69uyTpqaeeUkZGhnr16qUhQ4Zozpw5SkxM1O233+77Oo0ZY0U2Uzu1B6BJjR8/XgcPHqxzfOLEiXrwwQd9j//3v/9p9uzZ2rlzpxISEvTYY4+pf//+wSwVOGt33XWXhgwZ4ndNS9LKlSv14osvat++fRowYICmT59e7y70gFV88sknevXVV1VRUaG+ffvqoYce8usCIkn/+c9/9MYbb+jo0aO6/PLL9cgjj6ht27Yhqhg4tfLycj377LPasmWLbDabBg8erKlTp6pLly6+MR6PRzk5Ofrvf/8rm82m6667Tvfddx/L9WAJ77zzjv72t7/VOX7//ff7LQP5/PPP9fLLL+vgwYMaMmSIHn/8cb/rvLFjrIbgDgAAAACAhfHnMwAAAAAALIzgDgAAAACAhRHcAQAAAACwMII7AAAAAAAWRnAHAAAAAMDCCO4AAAAAAFgYwR0AAAAAAAsjuAMA0Mxs2bJFX375ZajLkCRt3LhR+fn5oS4DAABLaxHqAgAAwNkpLCzU1q1b6xxv1aqVbrjhhgY/780339SmTZs0cuTIpiyvjvXr16u6ulojRozwHXvttde0e/duXXbZZUGtBQCAcEJwBwAgTC1cuFDPPfecrrnmGr/j7dq1O2VwD5VXX31VBw4c8AvuycnJSkhICGFVAABYH8EdAIAw1rVrVy1YsOCUY6qrq7V8+XJFRUVpyJAhdc6vWLFC7du39zu3adMmuVyuOrPyW7du1TfffKO+ffsqKSnJd3zbtm3asmWLJMnhcGjAgAHq0aOH73xhYaF27typqqoqX72jR4/WoEGDdPToUb/v4fF4tGbNGu3bt099+vSR0+n0O79mzRoZYzRw4EAVFBTo8OHDGjZsmDp27HjK5wEAgHBFcAcAIILt2bNHo0eP1okTJ9S3b19t3bpVPXv2VExMjG/MrFmzdOGFF/oF99zcXBUVFfmCe2VlpSZNmqTVq1dr2LBh2r17t5KTkzV//nxJ0o4dO/Tuu+9KkioqKrRy5Uo98cQTevzxxyVJ27dvV3Fxsaqrq33jnE5nnVvl9+3bp/T0dB08eFAXX3yxVq9erbS0NL311luKioqSJOXk5Gjz5s1yu906//zzVVZWptLSUn355Ze66KKLmvLpBAAgJAjuAACEscOHD9eZcY+Pj/cF7hkzZig2NlaffPKJoqOjVVhYqOTkZI0ZM+aMvs9DDz2k7777Ttu3b1fXrl0lSe+9957v/PXXX6/rr7/e97igoEC//vWvNWHCBPXu3VsTJ07UZ599pgMHDpzyDoHp06crKipK27dvV7t27VRcXKzBgwdr7ty5uu+++3zjduzYoQ0bNqh///4yxuiKK67Q7NmzNXfu3DP6dwEAEA4I7gAAhLEjR474ZrBrDR48WCNHjpQxRosXL9a8efMUHR0tSRowYICuuuoqVVdXN/p7/PTTT3rrrbf0wgsv+EK7JI0fP95vXGVlpQoKClReXi6Px6OYmBht2LBBvXv3btT3McZo0aJFevnll9WuXTtJUkJCgm655RYtWLDAL7iPGjVK/fv3lyTZbDZdfvnl+vjjjxv9bwIAIJwQ3AEACGOnWuO+f/9+HTt2TBdccIHf8YSEBH399deN/h779++X2+1W3759Gxzz9ttv65577lFiYqJ69eql1q1bq7q6WuXl5Wf0fY4ePVon6CcmJuqjjz7yO9apUye/x61bt5bb7W709wIAIJwQ3AEAiFAdO3aU3W7XoUOH/I6f/Nhut8vr9fod+2UIjomJkc1m08GDBxv8Xg888ICefPJJPfDAA75jXbp0kTGm0fX+6le/UlRUlCoqKvyOV1RUqEuXLo3+OgAARBp7qAsAAABNo1WrVkpJSfG7lf7o0aPKy8vzG9e9e3d9++23vsder1fLly/3Pe7QoYNSU1P1+uuv+33e/v37JdXsAn/gwAH169fPd+6LL76oE/Tbt29/ylnxli1bKiUlRe+8847vmMfj0ZIlS+jzDgBo1phxBwAgjNW3OZ0k3XjjjWrZsqWeeuopjRs3Tna7XYMGDdL8+fPrzK5nZmZq5MiReuyxx9SvXz8tXrxYZWVl6tatm2/M888/r7FjxyojI0MZGRkqKSnRxx9/rNWrVysqKkrXXnutpk6dqocfflj79+/Xc889p7Zt2/p9n0suuUSvvvqqXnrpJXXq1EmjR4+uU/ecOXM0ZswYRUVFKSUlRYsWLVJVVZVmzJgRoGcMAIDwQ3AHACBMDRw4UKNGjaqzOZ0kXXfddWrZsqVGjx6tFStW6F//+pe2bt2qadOmqbq6Wrt27fKNHTFihD7//HMtWrRIRUVFmjp1qg4dOqSSkhLfmKFDh6qoqEhz587VV199pYsuushv5j43N1c5OTn66quv1LlzZ3344YfKzc31Wxc/ceJEHTt2TKtWrVJlZaWcTqeSk5OVkJDgG5OamqoNGzZo/vz5ys/P16hRo/TWW2/53So/bNiwOn98SEpK0pVXXnlOzycAAFZlM2ey+AwAAAAAAAQVa9wBAAAAALAwgjsAAAAAABZGcAcAAAAAwMII7gAAAAAAWBjBHQAAAAAACyO4AwAAAABgYQR3AAAAAAAsjOAOAAAAAICFEdwBAAAAALAwgjsAAAAAABZGcAcAAAAAwMII7gAAAAAAWNj/ARj7yBIx7CGvAAAAAElFTkSuQmCC", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig = plt.figure(figsize=(12, 12))\n", "ax1 = fig.add_subplot(211, xlabel=\"Income\", ylabel=\"Prestige\")\n", "ax1.scatter(prestige.income, prestige.prestige)\n", "xy_outlier = prestige.loc[\"minister\", [\"income\", \"prestige\"]]\n", "ax1.annotate(\"Minister\", xy_outlier, xy_outlier + 1, fontsize=16)\n", "ax2 = fig.add_subplot(212, xlabel=\"Education\", ylabel=\"Prestige\")\n", "ax2.scatter(prestige.education, prestige.prestige)" ] }, { "cell_type": "code", "execution_count": 42, "metadata": { "execution": { "iopub.execute_input": "2026-07-30T06:35:43.501865Z", "iopub.status.busy": "2026-07-30T06:35:43.501641Z", "iopub.status.idle": "2026-07-30T06:35:43.527100Z", "shell.execute_reply": "2026-07-30T06:35:43.525833Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ " OLS Regression Results \n", "==============================================================================\n", "Dep. Variable: prestige R-squared: 0.828\n", "Model: OLS Adj. R-squared: 0.820\n", "Method: Least Squares F-statistic: 101.2\n", "Date: Thu, 30 Jul 2026 Prob (F-statistic): 8.65e-17\n", "Time: 06:35:43 Log-Likelihood: -178.98\n", "No. Observations: 45 AIC: 364.0\n", "Df Residuals: 42 BIC: 369.4\n", "Df Model: 2 \n", "Covariance Type: nonrobust \n", "==============================================================================\n", " coef std err t P>|t| [0.025 0.975]\n", "------------------------------------------------------------------------------\n", "Intercept -6.0647 4.272 -1.420 0.163 -14.686 2.556\n", "income 0.5987 0.120 5.003 0.000 0.357 0.840\n", "education 0.5458 0.098 5.555 0.000 0.348 0.744\n", "==============================================================================\n", "Omnibus: 1.279 Durbin-Watson: 1.458\n", "Prob(Omnibus): 0.528 Jarque-Bera (JB): 0.520\n", "Skew: 0.155 Prob(JB): 0.771\n", "Kurtosis: 3.426 Cond. No. 163.\n", "==============================================================================\n", "\n", "Notes:\n", "[1] Standard Errors assume that the covariance matrix of the errors is correctly specified.\n" ] } ], "source": [ "ols_model = ols(\"prestige ~ income + education\", prestige).fit()\n", "print(ols_model.summary())" ] }, { "cell_type": "code", "execution_count": 43, "metadata": { "execution": { "iopub.execute_input": "2026-07-30T06:35:43.529329Z", "iopub.status.busy": "2026-07-30T06:35:43.529119Z", "iopub.status.idle": "2026-07-30T06:35:43.554625Z", "shell.execute_reply": "2026-07-30T06:35:43.553303Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "rownames\n", "accountant 0.303900\n", "pilot 0.340920\n", "architect 0.072256\n", "author 0.000711\n", "chemist 0.826578\n", "minister 3.134519\n", "professor 0.768277\n", "dentist -0.498082\n", "reporter -2.397022\n", "engineer 0.306225\n", "undertaker -0.187339\n", "lawyer -0.303082\n", "physician 0.355687\n", "welfare.worker -0.411406\n", "teacher 0.050510\n", "conductor -1.704032\n", "contractor 2.043805\n", "factory.owner 1.602429\n", "store.manager 0.142425\n", "banker 0.508388\n", "bookkeeper -0.902388\n", "mail.carrier -1.433249\n", "insurance.agent -1.930919\n", "store.clerk -1.760491\n", "carpenter 1.068858\n", "electrician 0.731949\n", "RR.engineer 0.808922\n", "machinist 1.887047\n", "auto.repairman 0.522735\n", "plumber -0.377954\n", "gas.stn.attendant -0.666596\n", "coal.miner 1.018527\n", "streetcar.motorman -1.104485\n", "taxi.driver 0.023322\n", "truck.driver -0.129227\n", "machine.operator 0.499922\n", "barber 0.173805\n", "bartender -0.902422\n", "shoe.shiner -0.429357\n", "cook 0.127207\n", "soda.clerk -0.883095\n", "watchman -0.513502\n", "janitor -0.079890\n", "policeman 0.078847\n", "waiter -0.475972\n", "Name: student_resid, dtype: float64\n" ] } ], "source": [ "infl = ols_model.get_influence()\n", "student = infl.summary_frame()[\"student_resid\"]\n", "print(student)" ] }, { "cell_type": "code", "execution_count": 44, "metadata": { "execution": { "iopub.execute_input": "2026-07-30T06:35:43.556777Z", "iopub.status.busy": "2026-07-30T06:35:43.556565Z", "iopub.status.idle": "2026-07-30T06:35:43.562880Z", "shell.execute_reply": "2026-07-30T06:35:43.562130Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "rownames\n", "minister 3.134519\n", "reporter -2.397022\n", "contractor 2.043805\n", "Name: student_resid, dtype: float64\n" ] } ], "source": [ "print(student.loc[np.abs(student) > 2])" ] }, { "cell_type": "code", "execution_count": 45, "metadata": { "execution": { "iopub.execute_input": "2026-07-30T06:35:43.565297Z", "iopub.status.busy": "2026-07-30T06:35:43.565098Z", "iopub.status.idle": "2026-07-30T06:35:43.572342Z", "shell.execute_reply": "2026-07-30T06:35:43.571190Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "dfb_Intercept 0.144937\n", "dfb_income -1.220939\n", "dfb_education 1.263019\n", "cooks_d 0.566380\n", "standard_resid 2.849416\n", "hat_diag 0.173058\n", "dffits_internal 1.303510\n", "student_resid 3.134519\n", "dffits 1.433935\n", "Name: minister, dtype: float64\n" ] } ], "source": [ "print(infl.summary_frame().loc[\"minister\"])" ] }, { "cell_type": "code", "execution_count": 46, "metadata": { "execution": { "iopub.execute_input": "2026-07-30T06:35:43.574331Z", "iopub.status.busy": "2026-07-30T06:35:43.574136Z", "iopub.status.idle": "2026-07-30T06:35:43.598718Z", "shell.execute_reply": "2026-07-30T06:35:43.597445Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ " student_resid unadj_p sidak(p)\n", "minister 3.134519 0.003177 0.133421\n", "reporter -2.397022 0.021170 0.618213\n", "contractor 2.043805 0.047433 0.887721\n", "insurance.agent -1.930919 0.060428 0.939485\n", "machinist 1.887047 0.066248 0.954247\n", "store.clerk -1.760491 0.085783 0.982331\n", "conductor -1.704032 0.095944 0.989315\n", "factory.owner 1.602429 0.116738 0.996250\n", "mail.carrier -1.433249 0.159369 0.999595\n", "streetcar.motorman -1.104485 0.275823 1.000000\n", "carpenter 1.068858 0.291386 1.000000\n", "coal.miner 1.018527 0.314400 1.000000\n", "bartender -0.902422 0.372104 1.000000\n", "bookkeeper -0.902388 0.372122 1.000000\n", "soda.clerk -0.883095 0.382334 1.000000\n", "chemist 0.826578 0.413261 1.000000\n", "RR.engineer 0.808922 0.423229 1.000000\n", "professor 0.768277 0.446725 1.000000\n", "electrician 0.731949 0.468363 1.000000\n", "gas.stn.attendant -0.666596 0.508764 1.000000\n", "auto.repairman 0.522735 0.603972 1.000000\n", "watchman -0.513502 0.610357 1.000000\n", "banker 0.508388 0.613906 1.000000\n", "machine.operator 0.499922 0.619802 1.000000\n", "dentist -0.498082 0.621088 1.000000\n", "waiter -0.475972 0.636621 1.000000\n", "shoe.shiner -0.429357 0.669912 1.000000\n", "welfare.worker -0.411406 0.682918 1.000000\n", "plumber -0.377954 0.707414 1.000000\n", "physician 0.355687 0.723898 1.000000\n", "pilot 0.340920 0.734905 1.000000\n", "engineer 0.306225 0.760983 1.000000\n", "accountant 0.303900 0.762741 1.000000\n", "lawyer -0.303082 0.763360 1.000000\n", "undertaker -0.187339 0.852319 1.000000\n", "barber 0.173805 0.862874 1.000000\n", "store.manager 0.142425 0.887442 1.000000\n", "truck.driver -0.129227 0.897810 1.000000\n", "cook 0.127207 0.899399 1.000000\n", "janitor -0.079890 0.936713 1.000000\n", "policeman 0.078847 0.937538 1.000000\n", "architect 0.072256 0.942750 1.000000\n", "teacher 0.050510 0.959961 1.000000\n", "taxi.driver 0.023322 0.981507 1.000000\n", "author 0.000711 0.999436 1.000000\n" ] } ], "source": [ "sidak = ols_model.outlier_test(\"sidak\")\n", "sidak.sort_values(\"unadj_p\", inplace=True)\n", "print(sidak)" ] }, { "cell_type": "code", "execution_count": 47, "metadata": { "execution": { "iopub.execute_input": "2026-07-30T06:35:43.600828Z", "iopub.status.busy": "2026-07-30T06:35:43.600622Z", "iopub.status.idle": "2026-07-30T06:35:43.625225Z", "shell.execute_reply": "2026-07-30T06:35:43.623928Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ " student_resid unadj_p fdr_bh(p)\n", "minister 3.134519 0.003177 0.142974\n", "reporter -2.397022 0.021170 0.476332\n", "contractor 2.043805 0.047433 0.596233\n", "insurance.agent -1.930919 0.060428 0.596233\n", "machinist 1.887047 0.066248 0.596233\n", "store.clerk -1.760491 0.085783 0.616782\n", "conductor -1.704032 0.095944 0.616782\n", "factory.owner 1.602429 0.116738 0.656653\n", "mail.carrier -1.433249 0.159369 0.796844\n", "streetcar.motorman -1.104485 0.275823 0.999436\n", "carpenter 1.068858 0.291386 0.999436\n", "coal.miner 1.018527 0.314400 0.999436\n", "bartender -0.902422 0.372104 0.999436\n", "bookkeeper -0.902388 0.372122 0.999436\n", "soda.clerk -0.883095 0.382334 0.999436\n", "chemist 0.826578 0.413261 0.999436\n", "RR.engineer 0.808922 0.423229 0.999436\n", "professor 0.768277 0.446725 0.999436\n", "electrician 0.731949 0.468363 0.999436\n", "gas.stn.attendant -0.666596 0.508764 0.999436\n", "auto.repairman 0.522735 0.603972 0.999436\n", "watchman -0.513502 0.610357 0.999436\n", "banker 0.508388 0.613906 0.999436\n", "machine.operator 0.499922 0.619802 0.999436\n", "dentist -0.498082 0.621088 0.999436\n", "waiter -0.475972 0.636621 0.999436\n", "shoe.shiner -0.429357 0.669912 0.999436\n", "welfare.worker -0.411406 0.682918 0.999436\n", "plumber -0.377954 0.707414 0.999436\n", "physician 0.355687 0.723898 0.999436\n", "pilot 0.340920 0.734905 0.999436\n", "engineer 0.306225 0.760983 0.999436\n", "accountant 0.303900 0.762741 0.999436\n", "lawyer -0.303082 0.763360 0.999436\n", "undertaker -0.187339 0.852319 0.999436\n", "barber 0.173805 0.862874 0.999436\n", "store.manager 0.142425 0.887442 0.999436\n", "truck.driver -0.129227 0.897810 0.999436\n", "cook 0.127207 0.899399 0.999436\n", "janitor -0.079890 0.936713 0.999436\n", "policeman 0.078847 0.937538 0.999436\n", "architect 0.072256 0.942750 0.999436\n", "teacher 0.050510 0.959961 0.999436\n", "taxi.driver 0.023322 0.981507 0.999436\n", "author 0.000711 0.999436 0.999436\n" ] } ], "source": [ "fdr = ols_model.outlier_test(\"fdr_bh\")\n", "fdr.sort_values(\"unadj_p\", inplace=True)\n", "print(fdr)" ] }, { "cell_type": "code", "execution_count": 48, "metadata": { "execution": { "iopub.execute_input": "2026-07-30T06:35:43.627137Z", "iopub.status.busy": "2026-07-30T06:35:43.626930Z", "iopub.status.idle": "2026-07-30T06:35:43.652173Z", "shell.execute_reply": "2026-07-30T06:35:43.650926Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ " Robust linear Model Regression Results \n", "==============================================================================\n", "Dep. Variable: prestige No. Observations: 45\n", "Model: RLM Df Residuals: 42\n", "Method: IRLS Df Model: 2\n", "Norm: HuberT \n", "Scale Est.: mad \n", "Cov Type: H1 \n", "Date: Thu, 30 Jul 2026 \n", "Time: 06:35:43 \n", "No. Iterations: 18 \n", "==============================================================================\n", " coef std err z P>|z| [0.025 0.975]\n", "------------------------------------------------------------------------------\n", "Intercept -7.1107 3.879 -1.833 0.067 -14.713 0.492\n", "income 0.7015 0.109 6.456 0.000 0.489 0.914\n", "education 0.4854 0.089 5.441 0.000 0.311 0.660\n", "==============================================================================\n", "\n", "If the model instance has been used for another fit with different fit parameters, then the fit options might not be the correct ones anymore .\n" ] } ], "source": [ "rlm_model = rlm(\"prestige ~ income + education\", prestige).fit()\n", "print(rlm_model.summary())" ] }, { "cell_type": "code", "execution_count": 49, "metadata": { "execution": { "iopub.execute_input": "2026-07-30T06:35:43.654954Z", "iopub.status.busy": "2026-07-30T06:35:43.654099Z", "iopub.status.idle": "2026-07-30T06:35:43.661280Z", "shell.execute_reply": "2026-07-30T06:35:43.660070Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "rownames\n", "accountant 1.000000\n", "pilot 1.000000\n", "architect 1.000000\n", "author 1.000000\n", "chemist 1.000000\n", "minister 0.344596\n", "professor 1.000000\n", "dentist 1.000000\n", "reporter 0.441669\n", "engineer 1.000000\n", "undertaker 1.000000\n", "lawyer 1.000000\n", "physician 1.000000\n", "welfare.worker 1.000000\n", "teacher 1.000000\n", "conductor 0.538445\n", "contractor 0.552262\n", "factory.owner 0.706169\n", "store.manager 1.000000\n", "banker 1.000000\n", "bookkeeper 1.000000\n", "mail.carrier 0.690764\n", "insurance.agent 0.533499\n", "store.clerk 0.618656\n", "carpenter 0.935848\n", "electrician 1.000000\n", "RR.engineer 1.000000\n", "machinist 0.570360\n", "auto.repairman 1.000000\n", "plumber 1.000000\n", "gas.stn.attendant 1.000000\n", "coal.miner 0.963821\n", "streetcar.motorman 0.832870\n", "taxi.driver 1.000000\n", "truck.driver 1.000000\n", "machine.operator 1.000000\n", "barber 1.000000\n", "bartender 1.000000\n", "shoe.shiner 1.000000\n", "cook 1.000000\n", "soda.clerk 1.000000\n", "watchman 1.000000\n", "janitor 1.000000\n", "policeman 1.000000\n", "waiter 1.000000\n", "dtype: float64\n" ] } ], "source": [ "print(rlm_model.weights)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Hertzprung Russell data for Star Cluster CYG 0B1 - Leverage Points" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "* Data is on the luminosity and temperature of 47 stars in the direction of Cygnus." ] }, { "cell_type": "code", "execution_count": 50, "metadata": { "execution": { "iopub.execute_input": "2026-07-30T06:35:43.663315Z", "iopub.status.busy": "2026-07-30T06:35:43.663119Z", "iopub.status.idle": "2026-07-30T06:35:43.860820Z", "shell.execute_reply": "2026-07-30T06:35:43.859684Z" } }, "outputs": [], "source": [ "dta = sm.datasets.get_rdataset(\"starsCYG\", \"robustbase\", cache=True).data" ] }, { "cell_type": "code", "execution_count": 51, "metadata": { "execution": { "iopub.execute_input": "2026-07-30T06:35:43.863416Z", "iopub.status.busy": "2026-07-30T06:35:43.863137Z", "iopub.status.idle": "2026-07-30T06:35:44.276132Z", "shell.execute_reply": "2026-07-30T06:35:44.275067Z" } }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from matplotlib.patches import Ellipse\n", "\n", "fig = plt.figure(figsize=(12, 8))\n", "ax = fig.add_subplot(\n", " 111,\n", " xlabel=\"log(Temp)\",\n", " ylabel=\"log(Light)\",\n", " title=\"Hertzsprung-Russell Diagram of Star Cluster CYG OB1\",\n", ")\n", "ax.scatter(*dta.values.T)\n", "# highlight outliers\n", "e = Ellipse((3.5, 6), 0.2, 1, alpha=0.25, color=\"r\")\n", "ax.add_patch(e)\n", "ax.annotate(\n", " \"Red giants\",\n", " xy=(3.6, 6),\n", " xytext=(3.8, 6),\n", " arrowprops=dict(facecolor=\"black\", shrink=0.05, width=2),\n", " horizontalalignment=\"left\",\n", " verticalalignment=\"bottom\",\n", " clip_on=True, # clip to the axes bounding box\n", " fontsize=16,\n", ")\n", "# annotate these with their index\n", "for i, row in dta.loc[dta[\"log.Te\"] < 3.8].iterrows():\n", " ax.annotate(i, row, row + 0.01, fontsize=14)\n", "xlim, ylim = ax.get_xlim(), ax.get_ylim()" ] }, { "cell_type": "code", "execution_count": 52, "metadata": { "execution": { "iopub.execute_input": "2026-07-30T06:35:44.279545Z", "iopub.status.busy": "2026-07-30T06:35:44.279269Z", "iopub.status.idle": "2026-07-30T06:35:44.291069Z", "shell.execute_reply": "2026-07-30T06:35:44.289727Z" } }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "" ] }, "execution_count": 52, "metadata": {}, "output_type": "execute_result" } ], "source": [ "from IPython.display import Image\n", "\n", "Image(filename=\"star_diagram.png\")" ] }, { "cell_type": "code", "execution_count": 53, "metadata": { "execution": { "iopub.execute_input": "2026-07-30T06:35:44.293400Z", "iopub.status.busy": "2026-07-30T06:35:44.293178Z", "iopub.status.idle": "2026-07-30T06:35:44.520423Z", "shell.execute_reply": "2026-07-30T06:35:44.518909Z" } }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "execution_count": 53, "metadata": {}, "output_type": "execute_result" } ], "source": [ "y = dta[\"log.light\"]\n", "X = sm.add_constant(dta[\"log.Te\"], prepend=True)\n", "ols_model = sm.OLS(y, X).fit()\n", "abline_plot(model_results=ols_model, ax=ax)" ] }, { "cell_type": "code", "execution_count": 54, "metadata": { "execution": { "iopub.execute_input": "2026-07-30T06:35:44.522800Z", "iopub.status.busy": "2026-07-30T06:35:44.522513Z", "iopub.status.idle": "2026-07-30T06:35:44.749898Z", "shell.execute_reply": "2026-07-30T06:35:44.748661Z" } }, "outputs": [ { "data": { "image/png": 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", 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" ] }, "execution_count": 54, "metadata": {}, "output_type": "execute_result" } ], "source": [ "rlm_mod = sm.RLM(y, X, sm.robust.norms.TrimmedMean(0.5)).fit()\n", "abline_plot(model_results=rlm_mod, ax=ax, color=\"red\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "* Why? Because M-estimators are not robust to leverage points." ] }, { "cell_type": "code", "execution_count": 55, "metadata": { "execution": { "iopub.execute_input": "2026-07-30T06:35:44.751941Z", "iopub.status.busy": "2026-07-30T06:35:44.751735Z", "iopub.status.idle": "2026-07-30T06:35:44.756672Z", "shell.execute_reply": "2026-07-30T06:35:44.755359Z" } }, "outputs": [], "source": [ "infl = ols_model.get_influence()" ] }, { "cell_type": "code", "execution_count": 56, "metadata": { "execution": { "iopub.execute_input": "2026-07-30T06:35:44.758586Z", "iopub.status.busy": "2026-07-30T06:35:44.758354Z", "iopub.status.idle": "2026-07-30T06:35:44.781983Z", "shell.execute_reply": "2026-07-30T06:35:44.781052Z" } }, "outputs": [ { "data": { "text/plain": [ "10 0.194103\n", "19 0.194103\n", "29 0.198344\n", "33 0.194103\n", "Name: hat_diag, dtype: float64" ] }, "execution_count": 56, "metadata": {}, "output_type": "execute_result" } ], "source": [ "h_bar = 2 * (ols_model.df_model + 1) / ols_model.nobs\n", "hat_diag = infl.summary_frame()[\"hat_diag\"]\n", "hat_diag.loc[hat_diag > h_bar]" ] }, { "cell_type": "code", "execution_count": 57, "metadata": { "execution": { "iopub.execute_input": "2026-07-30T06:35:44.784187Z", "iopub.status.busy": "2026-07-30T06:35:44.783992Z", "iopub.status.idle": "2026-07-30T06:35:44.807247Z", "shell.execute_reply": "2026-07-30T06:35:44.806332Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ " student_resid unadj_p sidak(p)\n", "16 -2.049393 0.046415 0.892872\n", "13 -2.035329 0.047868 0.900286\n", "33 1.905847 0.063216 0.953543\n", "18 -1.575505 0.122304 0.997826\n", "3 1.522185 0.135118 0.998911\n", "1 1.522185 0.135118 0.998911\n", "21 -1.450418 0.154034 0.999615\n", "17 -1.426675 0.160731 0.999735\n", "29 1.388520 0.171969 0.999859\n", "14 -1.374733 0.176175 0.999889\n", "35 1.346543 0.185023 0.999933\n", "34 -1.272159 0.209999 0.999985\n", "28 -1.186946 0.241618 0.999998\n", "20 -1.150621 0.256103 0.999999\n", "44 1.134779 0.262612 0.999999\n", "39 1.091886 0.280826 1.000000\n", "19 1.064878 0.292740 1.000000\n", "6 -1.026873 0.310093 1.000000\n", "30 -1.009096 0.318446 1.000000\n", "22 -0.979768 0.332557 1.000000\n", "8 0.961218 0.341695 1.000000\n", "5 0.913802 0.365801 1.000000\n", "11 0.871997 0.387943 1.000000\n", "12 0.856685 0.396261 1.000000\n", "46 -0.833923 0.408829 1.000000\n", "10 0.743920 0.460879 1.000000\n", "42 0.727179 0.470968 1.000000\n", "15 -0.689258 0.494280 1.000000\n", "43 0.688272 0.494895 1.000000\n", "7 0.655712 0.515424 1.000000\n", "40 -0.646396 0.521381 1.000000\n", "26 -0.640978 0.524862 1.000000\n", "25 -0.545561 0.588123 1.000000\n", "37 0.472819 0.638680 1.000000\n", "32 0.472819 0.638680 1.000000\n", "38 0.462187 0.646225 1.000000\n", "0 0.430686 0.668799 1.000000\n", "31 0.341726 0.734184 1.000000\n", "36 0.318911 0.751303 1.000000\n", "4 0.307890 0.759619 1.000000\n", "9 0.235114 0.815211 1.000000\n", "41 0.187732 0.851950 1.000000\n", "2 -0.182093 0.856346 1.000000\n", "23 -0.156014 0.876736 1.000000\n", "27 -0.147406 0.883485 1.000000\n", "24 0.065195 0.948314 1.000000\n", "45 0.045675 0.963776 1.000000\n" ] } ], "source": [ "sidak2 = ols_model.outlier_test(\"sidak\")\n", "sidak2.sort_values(\"unadj_p\", inplace=True)\n", "print(sidak2)" ] }, { "cell_type": "code", "execution_count": 58, "metadata": { "execution": { "iopub.execute_input": "2026-07-30T06:35:44.809240Z", "iopub.status.busy": "2026-07-30T06:35:44.809051Z", "iopub.status.idle": "2026-07-30T06:35:44.829411Z", "shell.execute_reply": "2026-07-30T06:35:44.828446Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ " student_resid unadj_p fdr_bh(p)\n", "16 -2.049393 0.046415 0.764747\n", "13 -2.035329 0.047868 0.764747\n", "33 1.905847 0.063216 0.764747\n", "18 -1.575505 0.122304 0.764747\n", "3 1.522185 0.135118 0.764747\n", "1 1.522185 0.135118 0.764747\n", "21 -1.450418 0.154034 0.764747\n", "17 -1.426675 0.160731 0.764747\n", "29 1.388520 0.171969 0.764747\n", "14 -1.374733 0.176175 0.764747\n", "35 1.346543 0.185023 0.764747\n", "34 -1.272159 0.209999 0.764747\n", "28 -1.186946 0.241618 0.764747\n", "20 -1.150621 0.256103 0.764747\n", "44 1.134779 0.262612 0.764747\n", "39 1.091886 0.280826 0.764747\n", "19 1.064878 0.292740 0.764747\n", "6 -1.026873 0.310093 0.764747\n", "30 -1.009096 0.318446 0.764747\n", "22 -0.979768 0.332557 0.764747\n", "8 0.961218 0.341695 0.764747\n", "5 0.913802 0.365801 0.768599\n", "11 0.871997 0.387943 0.768599\n", "12 0.856685 0.396261 0.768599\n", "46 -0.833923 0.408829 0.768599\n", "10 0.743920 0.460879 0.770890\n", "42 0.727179 0.470968 0.770890\n", "15 -0.689258 0.494280 0.770890\n", "43 0.688272 0.494895 0.770890\n", "7 0.655712 0.515424 0.770890\n", "40 -0.646396 0.521381 0.770890\n", "26 -0.640978 0.524862 0.770890\n", "25 -0.545561 0.588123 0.837630\n", "37 0.472819 0.638680 0.843682\n", "32 0.472819 0.638680 0.843682\n", "38 0.462187 0.646225 0.843682\n", "0 0.430686 0.668799 0.849556\n", "31 0.341726 0.734184 0.892552\n", "36 0.318911 0.751303 0.892552\n", "4 0.307890 0.759619 0.892552\n", "9 0.235114 0.815211 0.922751\n", "41 0.187732 0.851950 0.922751\n", "2 -0.182093 0.856346 0.922751\n", "23 -0.156014 0.876736 0.922751\n", "27 -0.147406 0.883485 0.922751\n", "24 0.065195 0.948314 0.963776\n", "45 0.045675 0.963776 0.963776\n" ] } ], "source": [ "fdr2 = ols_model.outlier_test(\"fdr_bh\")\n", "fdr2.sort_values(\"unadj_p\", inplace=True)\n", "print(fdr2)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "* Let's delete that line" ] }, { "cell_type": "code", "execution_count": 59, "metadata": { "execution": { "iopub.execute_input": "2026-07-30T06:35:44.831383Z", "iopub.status.busy": "2026-07-30T06:35:44.831208Z", "iopub.status.idle": "2026-07-30T06:35:44.835728Z", "shell.execute_reply": "2026-07-30T06:35:44.834010Z" } }, "outputs": [], "source": [ "line = ax.lines[-1]\n", "line.remove()\n", "del line" ] }, { "cell_type": "code", "execution_count": 60, "metadata": { "execution": { "iopub.execute_input": "2026-07-30T06:35:44.838363Z", "iopub.status.busy": "2026-07-30T06:35:44.838125Z", "iopub.status.idle": "2026-07-30T06:35:45.110058Z", "shell.execute_reply": "2026-07-30T06:35:45.109094Z" } }, "outputs": [ { "data": { "image/png": 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", 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" ] }, "execution_count": 60, "metadata": {}, "output_type": "execute_result" } ], "source": [ "weights = np.ones(len(X))\n", "weights[X[X[\"log.Te\"] < 3.8].index.values - 1] = 0\n", "wls_model = sm.WLS(y, X, weights=weights).fit()\n", "abline_plot(model_results=wls_model, ax=ax, color=\"green\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "* MM estimators are good for this type of problem, unfortunately, we do not yet have these yet. \n", "* It's being worked on, but it gives a good excuse to look at the R cell magics in the notebook." ] }, { "cell_type": "code", "execution_count": 61, "metadata": { "execution": { "iopub.execute_input": "2026-07-30T06:35:45.117798Z", "iopub.status.busy": "2026-07-30T06:35:45.116711Z", "iopub.status.idle": "2026-07-30T06:35:45.122187Z", "shell.execute_reply": "2026-07-30T06:35:45.120890Z" } }, "outputs": [], "source": [ "yy = y.values[:, None]\n", "xx = X[\"log.Te\"].values[:, None]" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**Note**: The R code and the results in this notebook has been converted to markdown so that R is not required to build the documents. The R results in the notebook were computed using R 3.5.1 and robustbase 0.93." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "```ipython\n", "%load_ext rpy2.ipython\n", "\n", "%R library(robustbase)\n", "%Rpush yy xx\n", "%R mod <- lmrob(yy ~ xx);\n", "%R params <- mod$coefficients;\n", "%Rpull params\n", "```" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "```ipython\n", "%R print(mod)\n", "```" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "```\n", "Call:\n", "lmrob(formula = yy ~ xx)\n", " \\--> method = \"MM\"\n", "Coefficients:\n", "(Intercept) xx \n", " -4.969 2.253 \n", "```" ] }, { "cell_type": "code", "execution_count": 62, "metadata": { "execution": { "iopub.execute_input": "2026-07-30T06:35:45.125129Z", "iopub.status.busy": "2026-07-30T06:35:45.124251Z", "iopub.status.idle": "2026-07-30T06:35:45.130344Z", "shell.execute_reply": "2026-07-30T06:35:45.129217Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "-4.969387980288108 2.2531613477892365\n" ] } ], "source": [ "params = [-4.969387980288108, 2.2531613477892365] # Computed using R\n", "print(params[0], params[1])" ] }, { "cell_type": "code", "execution_count": 63, "metadata": { "execution": { "iopub.execute_input": "2026-07-30T06:35:45.132475Z", "iopub.status.busy": "2026-07-30T06:35:45.132263Z", "iopub.status.idle": "2026-07-30T06:35:45.324395Z", "shell.execute_reply": "2026-07-30T06:35:45.323682Z" } }, "outputs": [ { "data": { "image/png": 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" ] }, "execution_count": 63, "metadata": {}, "output_type": "execute_result" } ], "source": [ "abline_plot(intercept=params[0], slope=params[1], ax=ax, color=\"red\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Exercise: Breakdown points of M-estimator" ] }, { "cell_type": "code", "execution_count": 64, "metadata": { "execution": { "iopub.execute_input": "2026-07-30T06:35:45.330687Z", "iopub.status.busy": "2026-07-30T06:35:45.330444Z", "iopub.status.idle": "2026-07-30T06:35:45.338771Z", "shell.execute_reply": "2026-07-30T06:35:45.337497Z" } }, "outputs": [], "source": [ "np.random.seed(12345)\n", "nobs = 200\n", "beta_true = np.array([3, 1, 2.5, 3, -4])\n", "X = np.random.uniform(-20, 20, size=(nobs, len(beta_true) - 1))\n", "# stack a constant in front\n", "X = sm.add_constant(X, prepend=True) # np.c_[np.ones(nobs), X]\n", "mc_iter = 500\n", "contaminate = 0.25 # percentage of response variables to contaminate" ] }, { "cell_type": "code", "execution_count": 65, "metadata": { "execution": { "iopub.execute_input": "2026-07-30T06:35:45.343222Z", "iopub.status.busy": "2026-07-30T06:35:45.343023Z", "iopub.status.idle": "2026-07-30T06:35:51.035040Z", "shell.execute_reply": "2026-07-30T06:35:51.033151Z" } }, "outputs": [], "source": [ "all_betas = []\n", "for _i in range(mc_iter):\n", " y = np.dot(X, beta_true) + np.random.normal(size=200)\n", " random_idx = np.random.randint(0, nobs, size=int(contaminate * nobs))\n", " y[random_idx] = np.random.uniform(-750, 750)\n", " beta_hat = sm.RLM(y, X).fit().params\n", " all_betas.append(beta_hat)" ] }, { "cell_type": "code", "execution_count": 66, "metadata": { "execution": { "iopub.execute_input": "2026-07-30T06:35:51.037393Z", "iopub.status.busy": "2026-07-30T06:35:51.037177Z", "iopub.status.idle": "2026-07-30T06:35:51.044662Z", "shell.execute_reply": "2026-07-30T06:35:51.043383Z" } }, "outputs": [], "source": [ "all_betas = np.asarray(all_betas)\n", "\n", "\n", "def se_loss(x):\n", " return np.linalg.norm(x, ord=2) ** 2\n", "\n", "\n", "se_beta = lmap(se_loss, all_betas - beta_true)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Squared error loss" ] }, { "cell_type": "code", "execution_count": 67, "metadata": { "execution": { "iopub.execute_input": "2026-07-30T06:35:51.046872Z", "iopub.status.busy": "2026-07-30T06:35:51.046663Z", "iopub.status.idle": "2026-07-30T06:35:51.053083Z", "shell.execute_reply": "2026-07-30T06:35:51.051745Z" } }, "outputs": [ { "data": { "text/plain": [ "np.float64(0.44502948730683384)" ] }, "execution_count": 67, "metadata": {}, "output_type": "execute_result" } ], "source": [ "np.array(se_beta).mean()" ] }, { "cell_type": "code", "execution_count": 68, "metadata": { "execution": { "iopub.execute_input": "2026-07-30T06:35:51.055097Z", "iopub.status.busy": "2026-07-30T06:35:51.054894Z", "iopub.status.idle": "2026-07-30T06:35:51.060688Z", "shell.execute_reply": "2026-07-30T06:35:51.059983Z" } }, "outputs": [ { "data": { "text/plain": [ "array([ 2.99711706, 0.99898147, 2.49909344, 2.99712918, -3.99626521])" ] }, "execution_count": 68, "metadata": {}, "output_type": "execute_result" } ], "source": [ "all_betas.mean(0)" ] }, { "cell_type": "code", "execution_count": 69, "metadata": { "execution": { "iopub.execute_input": "2026-07-30T06:35:51.063284Z", "iopub.status.busy": "2026-07-30T06:35:51.063083Z", "iopub.status.idle": "2026-07-30T06:35:51.068237Z", "shell.execute_reply": "2026-07-30T06:35:51.067030Z" } }, "outputs": [ { "data": { "text/plain": [ "array([ 3. , 1. , 2.5, 3. , -4. ])" ] }, "execution_count": 69, "metadata": {}, "output_type": "execute_result" } ], "source": [ "beta_true" ] }, { "cell_type": "code", "execution_count": 70, "metadata": { "execution": { "iopub.execute_input": "2026-07-30T06:35:51.070171Z", "iopub.status.busy": "2026-07-30T06:35:51.069974Z", "iopub.status.idle": "2026-07-30T06:35:51.074960Z", "shell.execute_reply": "2026-07-30T06:35:51.074031Z" } }, "outputs": [ { "data": { "text/plain": [ "np.float64(3.236091328690045e-05)" ] }, "execution_count": 70, "metadata": {}, "output_type": "execute_result" } ], "source": [ "se_loss(all_betas.mean(0) - beta_true)" ] } ], "metadata": { "kernelspec": { "display_name": "Python 3 (ipykernel)", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.14.6" } }, "nbformat": 4, "nbformat_minor": 4 }