{ "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": "2026-08-27T07:05:30.687033Z", "iopub.status.busy": "2026-08-27T07:05:30.686865Z", "iopub.status.idle": "2026-08-27T07:05:34.102513Z", "shell.execute_reply": "2026-08-27T07:05:34.097693Z" } }, "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": "2026-08-27T07:05:34.105734Z", "iopub.status.busy": "2026-08-27T07:05:34.105322Z", "iopub.status.idle": "2026-08-27T07:05:34.112695Z", "shell.execute_reply": "2026-08-27T07:05:34.111942Z" } }, "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": "2026-08-27T07:05:34.114844Z", "iopub.status.busy": "2026-08-27T07:05:34.114612Z", "iopub.status.idle": "2026-08-27T07:05:34.123960Z", "shell.execute_reply": "2026-08-27T07:05:34.120387Z" } }, "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": "2026-08-27T07:05:34.125999Z", "iopub.status.busy": "2026-08-27T07:05:34.125760Z", "iopub.status.idle": "2026-08-27T07:05:34.563798Z", "shell.execute_reply": "2026-08-27T07:05:34.563158Z" } }, "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": "2026-08-27T07:05:34.565771Z", "iopub.status.busy": "2026-08-27T07:05:34.565577Z", "iopub.status.idle": "2026-08-27T07:05:34.574274Z", "shell.execute_reply": "2026-08-27T07:05:34.573449Z" } }, "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": "2026-08-27T07:05:34.576339Z", "iopub.status.busy": "2026-08-27T07:05:34.576126Z", "iopub.status.idle": "2026-08-27T07:05:35.079187Z", "shell.execute_reply": "2026-08-27T07:05:35.077469Z" } }, "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": "2026-08-27T07:05:35.087092Z", "iopub.status.busy": "2026-08-27T07:05:35.086886Z", "iopub.status.idle": "2026-08-27T07:05:35.691423Z", "shell.execute_reply": "2026-08-27T07:05:35.686160Z" } }, "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", "# 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": "2026-08-27T07:05:35.698034Z", "iopub.status.busy": "2026-08-27T07:05:35.697810Z", "iopub.status.idle": "2026-08-27T07:05:35.710058Z", "shell.execute_reply": "2026-08-27T07:05:35.709505Z" } }, "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": "2026-08-27T07:05:35.714997Z", "iopub.status.busy": "2026-08-27T07:05:35.714804Z", "iopub.status.idle": "2026-08-27T07:05:37.947927Z", "shell.execute_reply": "2026-08-27T07:05:37.947012Z" } }, "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": "2026-08-27T07:05:37.953158Z", "iopub.status.busy": "2026-08-27T07:05:37.952892Z", "iopub.status.idle": "2026-08-27T07:05:40.151683Z", "shell.execute_reply": "2026-08-27T07:05:40.148475Z" } }, "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": "2026-08-27T07:05:40.153875Z", "iopub.status.busy": "2026-08-27T07:05:40.153681Z", "iopub.status.idle": "2026-08-27T07:05:40.171173Z", "shell.execute_reply": "2026-08-27T07:05:40.166066Z" } }, "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": "2026-08-27T07:05:40.175804Z", "iopub.status.busy": "2026-08-27T07:05:40.175576Z", "iopub.status.idle": "2026-08-27T07:05:40.183434Z", "shell.execute_reply": "2026-08-27T07:05:40.182795Z" } }, "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": "2026-08-27T07:05:40.189280Z", "iopub.status.busy": "2026-08-27T07:05:40.186549Z", "iopub.status.idle": "2026-08-27T07:05:40.526686Z", "shell.execute_reply": "2026-08-27T07:05:40.525627Z" } }, "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": "2026-08-27T07:05:40.528678Z", "iopub.status.busy": "2026-08-27T07:05:40.528489Z", "iopub.status.idle": "2026-08-27T07:05:40.541004Z", "shell.execute_reply": "2026-08-27T07:05:40.540039Z" } }, "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": "2026-08-27T07:05:40.545897Z", "iopub.status.busy": "2026-08-27T07:05:40.545698Z", "iopub.status.idle": "2026-08-27T07:05:40.583298Z", "shell.execute_reply": "2026-08-27T07:05:40.581167Z" } }, "outputs": [ { "data": { "text/plain": [ "1.2974942223045802" ] }, "execution_count": 15, "metadata": {}, "output_type": "execute_result" } ], "source": [ "kde.entropy" ] }, { "cell_type": "code", "execution_count": 16, "metadata": { "execution": { "iopub.execute_input": "2026-08-27T07:05:40.585054Z", "iopub.status.busy": "2026-08-27T07:05:40.584867Z", "iopub.status.idle": "2026-08-27T07:05:40.591601Z", "shell.execute_reply": "2026-08-27T07:05:40.591160Z" } }, "outputs": [ { "data": { "text/plain": [ "array([0.17902065])" ] }, "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": "2026-08-27T07:05:40.595819Z", "iopub.status.busy": "2026-08-27T07:05:40.595635Z", "iopub.status.idle": "2026-08-27T07:05:42.860928Z", "shell.execute_reply": "2026-08-27T07:05:42.860317Z" } }, "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": "2026-08-27T07:05:42.871920Z", "iopub.status.busy": "2026-08-27T07:05:42.871724Z", "iopub.status.idle": "2026-08-27T07:05:43.803388Z", "shell.execute_reply": "2026-08-27T07:05:43.799405Z" } }, "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", "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": "3.14.7" } }, "nbformat": 4, "nbformat_minor": 4 }