{
 "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": {},
   "outputs": [],
   "source": [
    "%matplotlib inline\n",
    "import numpy as np\n",
    "from scipy import stats\n",
    "import statsmodels.api as sm\n",
    "import matplotlib.pyplot as plt\n",
    "from statsmodels.distributions.mixture_rvs import mixture_rvs"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## A univariate example"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "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": {},
   "outputs": [],
   "source": [
    "# Location, scale and weight for the two distributions\n",
    "dist1_loc, dist1_scale, weight1 = -1 , .5, .25\n",
    "dist2_loc, dist2_scale, weight2 = 1 , .5, .75\n",
    "\n",
    "# Sample from a mixture of distributions\n",
    "obs_dist = mixture_rvs(prob=[weight1, weight2], size=250,\n",
    "                        dist=[stats.norm, stats.norm],\n",
    "                        kwargs = (dict(loc=dist1_loc, scale=dist1_scale),\n",
    "                                  dict(loc=dist2_loc, scale=dist2_scale)))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The simplest non-parametric technique for density estimation is the histogram."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
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\n",
      "text/plain": [
       "<Figure size 864x360 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "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(obs_dist, np.abs(np.random.randn(obs_dist.size)),\n",
    "            zorder=15, color='red', marker='x', alpha=0.5, label='Samples')\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": {},
   "outputs": [],
   "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": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x360 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = plt.figure(figsize=(12, 5))\n",
    "ax = fig.add_subplot(111)\n",
    "\n",
    "# Plot the histrogram\n",
    "ax.hist(obs_dist, bins=20, density=True, label='Histogram from samples',\n",
    "        zorder=5, edgecolor='k', alpha=0.5)\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 = (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",
    "ax.plot(kde.support, true_values, lw=3, label='True distribution', zorder=15)\n",
    "\n",
    "# Plot the samples\n",
    "ax.scatter(obs_dist, np.abs(np.random.randn(obs_dist.size))/40,\n",
    "           marker='x', color='red', zorder=20, label='Samples', alpha=0.5)\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": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x360 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = plt.figure(figsize=(12, 5))\n",
    "ax = fig.add_subplot(111)\n",
    "\n",
    "# Plot the histrogram\n",
    "ax.hist(obs_dist, bins=25, label='Histogram from samples',\n",
    "        zorder=5, edgecolor='k', density=True, alpha=0.5)\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(kde.support, kde.density, '--', lw=2, color='k', zorder=10,\n",
    "            label='KDE from samples, bw = {}'.format(round(bandwidth, 2)))\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(obs_dist, np.abs(np.random.randn(obs_dist.size))/50,\n",
    "           marker='x', color='red', zorder=20, label='Data samples', alpha=0.5)\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": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "['gau', 'epa', 'uni', 'tri', 'biw', 'triw', 'cos', 'cos2']"
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "from statsmodels.nonparametric.kde import kernel_switch\n",
    "list(kernel_switch.keys())"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### The available kernel functions"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x360 with 8 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "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(2, 4, i + 1)\n",
    "    ax.set_title('Kernel function \"{}\"'.format(ker_name))\n",
    "    ax.plot(x_vals, y_vals, lw=3, label='{}'.format(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": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x360 with 8 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "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(2, 4, i + 1)\n",
    "    ax.set_title('Kernel function \"{}\"'.format(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": {},
   "outputs": [],
   "source": [
    "obs_dist = mixture_rvs([.25, .75], size=250, dist=[stats.norm, stats.beta],\n",
    "            kwargs = (dict(loc=-1, scale=.5), dict(loc=1, scale=1, args=(1, .5))))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [],
   "source": [
    "kde = sm.nonparametric.KDEUnivariate(obs_dist)\n",
    "kde.fit()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x360 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "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(obs_dist, np.abs(np.random.randn(obs_dist.size))/50,\n",
    "           marker='x', color='red', zorder=20, label='Data samples', alpha=0.5)\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": {},
   "outputs": [],
   "source": [
    "obs_dist = mixture_rvs([.25, .75], size=1000, dist=[stats.norm, stats.norm],\n",
    "                kwargs = (dict(loc=-1, scale=.5), dict(loc=1, scale=.5)))\n",
    "kde = sm.nonparametric.KDEUnivariate(obs_dist)\n",
    "kde.fit(gridsize=2**10)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "1.314324140492138"
      ]
     },
     "execution_count": 15,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "kde.entropy"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([0.18085886])"
      ]
     },
     "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": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x360 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "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": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x360 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "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",
   "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": "3.8.2"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 1
}
