{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Kernel Density Estimation\n", "\n", "Kernel density estimation is the process of estimating an unknown probability density function using a *kernel function* $K(u)$. While a histogram counts the number of data points in somewhat arbitrary regions, a kernel density estimate is a function defined as the sum of a kernel function on every data point. The kernel function typically exhibits the following properties:\n", "\n", "1. Symmetry such that $K(u) = K(-u)$.\n", "2. Normalization such that $\\int_{-\\infty}^{\\infty} K(u) \\ du = 1$ .\n", "3. Monotonically decreasing such that $K'(u) < 0$ when $u > 0$.\n", "4. Expected value equal to zero such that $\\mathrm{E}[K] = 0$.\n", "\n", "For more information about kernel density estimation, see for instance [Wikipedia - Kernel density estimation](https://en.wikipedia.org/wiki/Kernel_density_estimation).\n", "\n", "A univariate kernel density estimator is implemented in `sm.nonparametric.KDEUnivariate`.\n", "In this example we will show the following:\n", "\n", "* Basic usage, how to fit the estimator.\n", "* The effect of varying the bandwidth of the kernel using the `bw` argument.\n", "* The various kernel functions available using the `kernel` argument." ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "execution": { "iopub.execute_input": "2026-07-30T22:41:17.896700Z", "iopub.status.busy": "2026-07-30T22:41:17.896499Z", "iopub.status.idle": "2026-07-30T22:41:19.932398Z", "shell.execute_reply": "2026-07-30T22:41:19.930739Z" } }, "outputs": [], "source": [ "%matplotlib inline\n", "import matplotlib.pyplot as plt\n", "import numpy as np\n", "from scipy import stats\n", "\n", "import statsmodels.api as sm\n", "from statsmodels.distributions.mixture_rvs import mixture_rvs" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## A univariate example" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "execution": { "iopub.execute_input": "2026-07-30T22:41:19.934689Z", "iopub.status.busy": "2026-07-30T22:41:19.934299Z", "iopub.status.idle": "2026-07-30T22:41:19.939408Z", "shell.execute_reply": "2026-07-30T22:41:19.938226Z" } }, "outputs": [], "source": [ "np.random.seed(12345) # Seed the random number generator for reproducible results" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We create a bimodal distribution: a mixture of two normal distributions with locations at `-1` and `1`." ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "execution": { "iopub.execute_input": "2026-07-30T22:41:19.943496Z", "iopub.status.busy": "2026-07-30T22:41:19.943322Z", "iopub.status.idle": "2026-07-30T22:41:19.949203Z", "shell.execute_reply": "2026-07-30T22:41:19.947803Z" } }, "outputs": [], "source": [ "# Location, scale and weight for the two distributions\n", "dist1_loc, dist1_scale, weight1 = -1, 0.5, 0.25\n", "dist2_loc, dist2_scale, weight2 = 1, 0.5, 0.75\n", "\n", "# Sample from a mixture of distributions\n", "obs_dist = mixture_rvs(\n", " prob=[weight1, weight2],\n", " size=250,\n", " dist=[stats.norm, stats.norm],\n", " kwargs=(\n", " dict(loc=dist1_loc, scale=dist1_scale),\n", " dict(loc=dist2_loc, scale=dist2_scale),\n", " ),\n", ")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The simplest non-parametric technique for density estimation is the histogram." ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "execution": { "iopub.execute_input": "2026-07-30T22:41:19.951159Z", "iopub.status.busy": "2026-07-30T22:41:19.950961Z", "iopub.status.idle": "2026-07-30T22:41:20.193665Z", "shell.execute_reply": "2026-07-30T22:41:20.190145Z" } }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig = plt.figure(figsize=(12, 5))\n", "ax = fig.add_subplot(111)\n", "\n", "# Scatter plot of data samples and histogram\n", "ax.scatter(\n", " obs_dist,\n", " np.abs(np.random.randn(obs_dist.size)),\n", " zorder=15,\n", " color=\"red\",\n", " marker=\"x\",\n", " alpha=0.5,\n", " label=\"Samples\",\n", ")\n", "lines = ax.hist(obs_dist, bins=20, edgecolor=\"k\", label=\"Histogram\")\n", "\n", "ax.legend(loc=\"best\")\n", "ax.grid(True, zorder=-5)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Fitting with the default arguments" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The histogram above is discontinuous. To compute a continuous probability density function,\n", "we can use kernel density estimation.\n", "\n", "We initialize a univariate kernel density estimator using `KDEUnivariate`." ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "execution": { "iopub.execute_input": "2026-07-30T22:41:20.200225Z", "iopub.status.busy": "2026-07-30T22:41:20.199945Z", "iopub.status.idle": "2026-07-30T22:41:20.206169Z", "shell.execute_reply": "2026-07-30T22:41:20.205219Z" } }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 5, "metadata": {}, "output_type": "execute_result" } ], "source": [ "kde = sm.nonparametric.KDEUnivariate(obs_dist)\n", "kde.fit() # Estimate the densities" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We present a figure of the fit, as well as the true distribution." ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "execution": { "iopub.execute_input": "2026-07-30T22:41:20.208775Z", "iopub.status.busy": "2026-07-30T22:41:20.208353Z", "iopub.status.idle": "2026-07-30T22:41:20.463071Z", "shell.execute_reply": "2026-07-30T22:41:20.462238Z" } }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig = plt.figure(figsize=(12, 5))\n", "ax = fig.add_subplot(111)\n", "\n", "# Plot the histogram\n", "ax.hist(\n", " obs_dist,\n", " bins=20,\n", " density=True,\n", " label=\"Histogram from samples\",\n", " zorder=5,\n", " edgecolor=\"k\",\n", " alpha=0.5,\n", ")\n", "\n", "# Plot the KDE as fitted using the default arguments\n", "ax.plot(kde.support, kde.density, lw=3, label=\"KDE from samples\", zorder=10)\n", "\n", "# Plot the true distribution\n", "true_values = (\n", " stats.norm.pdf(loc=dist1_loc, scale=dist1_scale, x=kde.support) * weight1\n", " + stats.norm.pdf(loc=dist2_loc, scale=dist2_scale, x=kde.support) * weight2\n", ")\n", "ax.plot(kde.support, true_values, lw=3, label=\"True distribution\", zorder=15)\n", "\n", "# Plot the samples\n", "ax.scatter(\n", " obs_dist,\n", " np.abs(np.random.randn(obs_dist.size)) / 40,\n", " marker=\"x\",\n", " color=\"red\",\n", " zorder=20,\n", " label=\"Samples\",\n", " alpha=0.5,\n", ")\n", "\n", "ax.legend(loc=\"best\")\n", "ax.grid(True, zorder=-5)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "In the code above, default arguments were used. We can also vary the bandwidth of the kernel, as we will now see." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Varying the bandwidth using the `bw` argument" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The bandwidth of the kernel can be adjusted using the `bw` argument.\n", "In the following example, a bandwidth of `bw=0.2` seems to fit the data well." ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "execution": { "iopub.execute_input": "2026-07-30T22:41:20.465026Z", "iopub.status.busy": "2026-07-30T22:41:20.464840Z", "iopub.status.idle": "2026-07-30T22:41:20.697954Z", "shell.execute_reply": "2026-07-30T22:41:20.697119Z" } }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig = plt.figure(figsize=(12, 5))\n", "ax = fig.add_subplot(111)\n", "\n", "# Plot the histogram\n", "ax.hist(\n", " obs_dist,\n", " bins=25,\n", " label=\"Histogram from samples\",\n", " zorder=5,\n", " edgecolor=\"k\",\n", " density=True,\n", " alpha=0.5,\n", ")\n", "\n", "# Plot the KDE for various bandwidths\n", "for bandwidth in [0.1, 0.2, 0.4]:\n", " kde.fit(bw=bandwidth) # Estimate the densities\n", " ax.plot(\n", " kde.support,\n", " kde.density,\n", " \"--\",\n", " lw=2,\n", " color=\"k\",\n", " zorder=10,\n", " label=f\"KDE from samples, bw = {round(bandwidth, 2)}\",\n", " )\n", "\n", "# Plot the true distribution\n", "ax.plot(kde.support, true_values, lw=3, label=\"True distribution\", zorder=15)\n", "\n", "# Plot the samples\n", "ax.scatter(\n", " obs_dist,\n", " np.abs(np.random.randn(obs_dist.size)) / 50,\n", " marker=\"x\",\n", " color=\"red\",\n", " zorder=20,\n", " label=\"Data samples\",\n", " alpha=0.5,\n", ")\n", "\n", "ax.legend(loc=\"best\")\n", "ax.set_xlim([-3, 3])\n", "ax.grid(True, zorder=-5)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Comparing kernel functions" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "In the example above, a Gaussian kernel was used. Several other kernels are also available." ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "execution": { "iopub.execute_input": "2026-07-30T22:41:20.699911Z", "iopub.status.busy": "2026-07-30T22:41:20.699724Z", "iopub.status.idle": "2026-07-30T22:41:20.704522Z", "shell.execute_reply": "2026-07-30T22:41:20.703774Z" } }, "outputs": [ { "data": { "text/plain": [ "['gau', 'epa', 'uni', 'tri', 'biw', 'triw', 'cos', 'cos2', 'tric']" ] }, "execution_count": 8, "metadata": {}, "output_type": "execute_result" } ], "source": [ "from statsmodels.nonparametric.kde import kernel_switch\n", "\n", "list(kernel_switch.keys())" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### The available kernel functions" ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "execution": { "iopub.execute_input": "2026-07-30T22:41:20.706389Z", "iopub.status.busy": "2026-07-30T22:41:20.706196Z", "iopub.status.idle": "2026-07-30T22:41:21.880397Z", "shell.execute_reply": "2026-07-30T22:41:21.879489Z" } }, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Create a figure\n", "fig = plt.figure(figsize=(12, 5))\n", "\n", "# Enumerate every option for the kernel\n", "for i, (ker_name, ker_class) in enumerate(kernel_switch.items()):\n", "\n", " # Initialize the kernel object\n", " kernel = ker_class()\n", "\n", " # Sample from the domain\n", " domain = kernel.domain or [-3, 3]\n", " x_vals = np.linspace(*domain, num=2**10)\n", " y_vals = kernel(x_vals)\n", "\n", " # Create a subplot, set the title\n", " ax = fig.add_subplot(3, 3, i + 1)\n", " ax.set_title(f'Kernel function \"{ker_name}\"')\n", " ax.plot(x_vals, y_vals, lw=3, label=f\"{ker_name}\")\n", " ax.scatter([0], [0], marker=\"x\", color=\"red\")\n", " plt.grid(True, zorder=-5)\n", " ax.set_xlim(domain)\n", "\n", "plt.tight_layout()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### The available kernel functions on three data points" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We now examine how the kernel density estimate will fit to three equally spaced data points." ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "execution": { "iopub.execute_input": "2026-07-30T22:41:21.882728Z", "iopub.status.busy": "2026-07-30T22:41:21.882431Z", "iopub.status.idle": "2026-07-30T22:41:22.885469Z", "shell.execute_reply": "2026-07-30T22:41:22.884522Z" } }, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Create three equidistant points\n", "data = np.linspace(-1, 1, 3)\n", "kde = sm.nonparametric.KDEUnivariate(data)\n", "\n", "# Create a figure\n", "fig = plt.figure(figsize=(12, 5))\n", "\n", "# Enumerate every option for the kernel\n", "for i, kernel in enumerate(kernel_switch.keys()):\n", "\n", " # Create a subplot, set the title\n", " ax = fig.add_subplot(3, 3, i + 1)\n", " ax.set_title(f'Kernel function \"{kernel}\"')\n", "\n", " # Fit the model (estimate densities)\n", " kde.fit(kernel=kernel, fft=False, gridsize=2**10)\n", "\n", " # Create the plot\n", " ax.plot(kde.support, kde.density, lw=3, label=\"KDE from samples\", zorder=10)\n", " ax.scatter(data, np.zeros_like(data), marker=\"x\", color=\"red\")\n", " plt.grid(True, zorder=-5)\n", " ax.set_xlim([-3, 3])\n", "\n", "plt.tight_layout()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## A more difficult case\n", "\n", "The fit is not always perfect. See the example below for a harder case." ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "execution": { "iopub.execute_input": "2026-07-30T22:41:22.887405Z", "iopub.status.busy": "2026-07-30T22:41:22.887205Z", "iopub.status.idle": "2026-07-30T22:41:22.891970Z", "shell.execute_reply": "2026-07-30T22:41:22.891130Z" } }, "outputs": [], "source": [ "obs_dist = mixture_rvs(\n", " [0.25, 0.75],\n", " size=250,\n", " dist=[stats.norm, stats.beta],\n", " kwargs=(dict(loc=-1, scale=0.5), dict(loc=1, scale=1, args=(1, 0.5))),\n", ")" ] }, { "cell_type": "code", "execution_count": 12, "metadata": { "execution": { "iopub.execute_input": "2026-07-30T22:41:22.893941Z", "iopub.status.busy": "2026-07-30T22:41:22.893758Z", "iopub.status.idle": "2026-07-30T22:41:22.899400Z", "shell.execute_reply": "2026-07-30T22:41:22.898127Z" } }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 12, "metadata": {}, "output_type": "execute_result" } ], "source": [ "kde = sm.nonparametric.KDEUnivariate(obs_dist)\n", "kde.fit()" ] }, { "cell_type": "code", "execution_count": 13, "metadata": { "execution": { "iopub.execute_input": "2026-07-30T22:41:22.902060Z", "iopub.status.busy": "2026-07-30T22:41:22.901877Z", "iopub.status.idle": "2026-07-30T22:41:23.548958Z", "shell.execute_reply": "2026-07-30T22:41:23.548346Z" } }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig = plt.figure(figsize=(12, 5))\n", "ax = fig.add_subplot(111)\n", "ax.hist(obs_dist, bins=20, density=True, edgecolor=\"k\", zorder=4, alpha=0.5)\n", "ax.plot(kde.support, kde.density, lw=3, zorder=7)\n", "# Plot the samples\n", "ax.scatter(\n", " obs_dist,\n", " np.abs(np.random.randn(obs_dist.size)) / 50,\n", " marker=\"x\",\n", " color=\"red\",\n", " zorder=20,\n", " label=\"Data samples\",\n", " alpha=0.5,\n", ")\n", "ax.grid(True, zorder=-5)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## The KDE is a distribution\n", "\n", "Since the KDE is a distribution, we can access attributes and methods such as:\n", "\n", "- `entropy`\n", "- `evaluate`\n", "- `cdf`\n", "- `icdf`\n", "- `sf`\n", "- `cumhazard`" ] }, { "cell_type": "code", "execution_count": 14, "metadata": { "execution": { "iopub.execute_input": "2026-07-30T22:41:23.554141Z", "iopub.status.busy": "2026-07-30T22:41:23.553297Z", "iopub.status.idle": "2026-07-30T22:41:23.567391Z", "shell.execute_reply": "2026-07-30T22:41:23.565818Z" } }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 14, "metadata": {}, "output_type": "execute_result" } ], "source": [ "obs_dist = mixture_rvs(\n", " [0.25, 0.75],\n", " size=1000,\n", " dist=[stats.norm, stats.norm],\n", " kwargs=(dict(loc=-1, scale=0.5), dict(loc=1, scale=0.5)),\n", ")\n", "kde = sm.nonparametric.KDEUnivariate(obs_dist)\n", "kde.fit(gridsize=2**10)" ] }, { "cell_type": "code", "execution_count": 15, "metadata": { "execution": { "iopub.execute_input": "2026-07-30T22:41:23.571298Z", "iopub.status.busy": "2026-07-30T22:41:23.571090Z", "iopub.status.idle": "2026-07-30T22:41:23.610649Z", "shell.execute_reply": "2026-07-30T22:41:23.609424Z" } }, "outputs": [ { "data": { "text/plain": [ "1.3372820065825501" ] }, "execution_count": 15, "metadata": {}, "output_type": "execute_result" } ], "source": [ "kde.entropy" ] }, { "cell_type": "code", "execution_count": 16, "metadata": { "execution": { "iopub.execute_input": "2026-07-30T22:41:23.615198Z", "iopub.status.busy": "2026-07-30T22:41:23.614999Z", "iopub.status.idle": "2026-07-30T22:41:23.622924Z", "shell.execute_reply": "2026-07-30T22:41:23.622351Z" } }, "outputs": [ { "data": { "text/plain": [ "array([0.18895064])" ] }, "execution_count": 16, "metadata": {}, "output_type": "execute_result" } ], "source": [ "kde.evaluate(-1)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Cumulative distribution, it's inverse, and the survival function" ] }, { "cell_type": "code", "execution_count": 17, "metadata": { "execution": { "iopub.execute_input": "2026-07-30T22:41:23.625113Z", "iopub.status.busy": "2026-07-30T22:41:23.624917Z", "iopub.status.idle": "2026-07-30T22:41:25.313285Z", "shell.execute_reply": "2026-07-30T22:41:25.311745Z" } }, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig = plt.figure(figsize=(12, 5))\n", "ax = fig.add_subplot(111)\n", "\n", "ax.plot(kde.support, kde.cdf, lw=3, label=\"CDF\")\n", "ax.plot(np.linspace(0, 1, num=kde.icdf.size), kde.icdf, lw=3, label=\"Inverse CDF\")\n", "ax.plot(kde.support, kde.sf, lw=3, label=\"Survival function\")\n", "ax.legend(loc=\"best\")\n", "ax.grid(True, zorder=-5)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### The Cumulative Hazard Function" ] }, { "cell_type": "code", "execution_count": 18, "metadata": { "execution": { "iopub.execute_input": "2026-07-30T22:41:25.317686Z", "iopub.status.busy": "2026-07-30T22:41:25.317458Z", "iopub.status.idle": "2026-07-30T22:41:25.739714Z", "shell.execute_reply": "2026-07-30T22:41:25.738645Z" } }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig = plt.figure(figsize=(12, 5))\n", "ax = fig.add_subplot(111)\n", "ax.plot(kde.support, kde.cumhazard, lw=3, label=\"Cumulative Hazard Function\")\n", "ax.legend(loc=\"best\")\n", "ax.grid(True, zorder=-5)" ] } ], "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 }