{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Autoregressive Moving Average (ARMA): Artificial data" ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "execution": { "iopub.execute_input": "2023-12-14T14:45:17.638620Z", "iopub.status.busy": "2023-12-14T14:45:17.638216Z", "iopub.status.idle": "2023-12-14T14:45:19.326466Z", "shell.execute_reply": "2023-12-14T14:45:19.324525Z" } }, "outputs": [], "source": [ "%matplotlib inline" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "execution": { "iopub.execute_input": "2023-12-14T14:45:19.331641Z", "iopub.status.busy": "2023-12-14T14:45:19.331155Z", "iopub.status.idle": "2023-12-14T14:45:21.758005Z", "shell.execute_reply": "2023-12-14T14:45:21.757148Z" } }, "outputs": [], "source": [ "import numpy as np\n", "import pandas as pd\n", "\n", "from statsmodels.graphics.tsaplots import plot_predict\n", "from statsmodels.tsa.arima_process import arma_generate_sample\n", "from statsmodels.tsa.arima.model import ARIMA\n", "\n", "np.random.seed(12345)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Generate some data from an ARMA process:" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "execution": { "iopub.execute_input": "2023-12-14T14:45:21.766831Z", "iopub.status.busy": "2023-12-14T14:45:21.763899Z", "iopub.status.idle": "2023-12-14T14:45:21.773399Z", "shell.execute_reply": "2023-12-14T14:45:21.772696Z" } }, "outputs": [], "source": [ "arparams = np.array([0.75, -0.25])\n", "maparams = np.array([0.65, 0.35])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The conventions of the arma_generate function require that we specify a 1 for the zero-lag of the AR and MA parameters and that the AR parameters be negated." ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "execution": { "iopub.execute_input": "2023-12-14T14:45:21.779831Z", "iopub.status.busy": "2023-12-14T14:45:21.777836Z", "iopub.status.idle": "2023-12-14T14:45:21.799659Z", "shell.execute_reply": "2023-12-14T14:45:21.798964Z" } }, "outputs": [], "source": [ "arparams = np.r_[1, -arparams]\n", "maparams = np.r_[1, maparams]\n", "nobs = 250\n", "y = arma_generate_sample(arparams, maparams, nobs)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ " Now, optionally, we can add some dates information. For this example, we'll use a pandas time series." ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "execution": { "iopub.execute_input": "2023-12-14T14:45:21.804467Z", "iopub.status.busy": "2023-12-14T14:45:21.803363Z", "iopub.status.idle": "2023-12-14T14:45:22.300782Z", "shell.execute_reply": "2023-12-14T14:45:22.300012Z" } }, "outputs": [], "source": [ "dates = pd.date_range(\"1980-1-1\", freq=\"M\", periods=nobs)\n", "y = pd.Series(y, index=dates)\n", "arma_mod = ARIMA(y, order=(2, 0, 2), trend=\"n\")\n", "arma_res = arma_mod.fit()" ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "execution": { "iopub.execute_input": "2023-12-14T14:45:22.307965Z", "iopub.status.busy": "2023-12-14T14:45:22.306045Z", "iopub.status.idle": "2023-12-14T14:45:22.349414Z", "shell.execute_reply": "2023-12-14T14:45:22.348530Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ " SARIMAX Results \n", "==============================================================================\n", "Dep. Variable: y No. Observations: 250\n", "Model: ARIMA(2, 0, 2) Log Likelihood -353.445\n", "Date: Thu, 14 Dec 2023 AIC 716.891\n", "Time: 14:45:22 BIC 734.498\n", "Sample: 01-31-1980 HQIC 723.977\n", " - 10-31-2000 \n", "Covariance Type: opg \n", "==============================================================================\n", " coef std err z P>|z| [0.025 0.975]\n", "------------------------------------------------------------------------------\n", "ar.L1 0.7905 0.142 5.566 0.000 0.512 1.069\n", "ar.L2 -0.2314 0.124 -1.859 0.063 -0.475 0.013\n", "ma.L1 0.7007 0.131 5.344 0.000 0.444 0.958\n", "ma.L2 0.4061 0.097 4.177 0.000 0.216 0.597\n", "sigma2 0.9801 0.093 10.514 0.000 0.797 1.163\n", "===================================================================================\n", "Ljung-Box (L1) (Q): 0.00 Jarque-Bera (JB): 0.29\n", "Prob(Q): 0.96 Prob(JB): 0.86\n", "Heteroskedasticity (H): 0.92 Skew: 0.02\n", "Prob(H) (two-sided): 0.69 Kurtosis: 2.84\n", "===================================================================================\n", "\n", "Warnings:\n", "[1] Covariance matrix calculated using the outer product of gradients (complex-step).\n" ] } ], "source": [ "print(arma_res.summary())" ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "execution": { "iopub.execute_input": "2023-12-14T14:45:22.356049Z", "iopub.status.busy": "2023-12-14T14:45:22.354220Z", "iopub.status.idle": "2023-12-14T14:45:22.372449Z", "shell.execute_reply": "2023-12-14T14:45:22.371740Z" } }, "outputs": [ { "data": { "text/plain": [ "2000-06-30 0.173211\n", "2000-07-31 -0.048325\n", "2000-08-31 -0.415804\n", "2000-09-30 0.338725\n", "2000-10-31 0.360838\n", "Freq: M, dtype: float64" ] }, "execution_count": 7, "metadata": {}, "output_type": "execute_result" } ], "source": [ "y.tail()" ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "execution": { "iopub.execute_input": "2023-12-14T14:45:22.379279Z", "iopub.status.busy": "2023-12-14T14:45:22.376922Z", "iopub.status.idle": "2023-12-14T14:45:23.224895Z", "shell.execute_reply": "2023-12-14T14:45:23.224126Z" } }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import matplotlib.pyplot as plt\n", "\n", "fig, ax = plt.subplots(figsize=(10, 8))\n", "fig = plot_predict(arma_res, start=\"1999-06-30\", end=\"2001-05-31\", ax=ax)\n", "legend = ax.legend(loc=\"upper left\")" ] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "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": "3.10.13" } }, "nbformat": 4, "nbformat_minor": 4 }