{
 "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": "3.8.2rc2"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 1
}
