Kruschke's Doing Bayesian Data Analysis in PyMC3

gistfile1.txt

{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Kruschke in PyMC3\n",
    "=========\n",
    "\n",
    "Based on https://github.com/aloctavodia/Doing_bayesian_data_analysis with minor edits."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 46,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "from __future__ import division # Brian: this may lead to bugs since it's only imported some places\n",
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "import pandas as pd\n",
    "import seaborn as sns\n",
    "\n",
    "import sys\n",
    "from StringIO import StringIO\n",
    "\n",
    "from scipy.stats import norm, multivariate_normal, beta, binom, stats\n",
    "from scipy.stats import t as stats_t\n",
    "from scipy.special import beta as beta_func\n",
    "from scipy.special import binom as special_binom\n",
    "from scipy.special import betaln as special_betaln\n",
    "from scipy.optimize import fmin\n",
    "from scipy.interpolate import spline\n",
    "from mpl_toolkits.mplot3d.axes3d import Axes3D\n",
    "import pymc3 as pm\n",
    "\n",
    "%matplotlib inline\n",
    "%config InlineBackend.figure_format = 'retina'"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
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0Kh/ft/ULC0ViaS3pjG9ed5jCctC39TVJDk1yyah8SJKnlUkEAAAA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\n1SJgb5ofd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FlvDdMXru/B2aKSJEmS1JFeC6a1O53XN9lf275ND/2b9ZUkSZKksTZlVuq0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\nkiRJmlgWTCVJkiRJkiRJkiRNrP8HyJMj2EOpMzkAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x113b11090>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 370,
       "width": 934
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "\"\"\"\n",
    "02_SimpleGraph.py\n",
    "A simple graph drawn by Python :-)\n",
    "\"\"\"\n",
    "x = np.linspace(-2, 2, 40)\n",
    "y = x**2\n",
    "\n",
    "plt.figure(figsize=(16,6)) # Brian added\n",
    "plt.plot(x, y)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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z9IgyT+d13VmtKvN0QZmnJwDbAzc1uvqA/wH+kGTFpl13liRJkiQtE8NbSZIk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\n3b915NPb/Wzw4UmdIYTQA9xH/b5GcXxRC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      "text/plain": [
       "<matplotlib.figure.Figure at 0x10d6a5810>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 394,
       "width": 951
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "\"\"\"\n",
    "03_IntegralOfDensity.py\n",
    "Graph of normal probability density function, with comb of intervals.\n",
    "\"\"\"\n",
    "meanval = 0.0              # Specify mean of distribution.\n",
    "sdval = 0.2                # Specify standard deviation of distribution.\n",
    "xlow = meanval - 3 * sdval  # Specify low end of x-axis.\n",
    "xhigh = meanval + 3 * sdval  # Specify high end of x-axis.\n",
    "dx = 0.02                  # Specify interval width on x-axis\n",
    "# Specify comb points along the x axis:\n",
    "x = np.arange(xlow, xhigh, dx)\n",
    "# Compute y values, i.e., probability density at each value of x:\n",
    "y = (1/(sdval*np.sqrt(2*np.pi))) * np.exp(-.5 * ((x - meanval)/sdval)**2)\n",
    "# Plot the function. \"plot\" draws the bell curve. \"stem\" draws the intervals.\n",
    "plt.figure(figsize=(16,6)) # Brian added\n",
    "plt.plot(x, y)\n",
    "plt.stem(x, y, markerfmt=' ')\n",
    "\n",
    "plt.xlabel('$x$')\n",
    "plt.ylabel('$p(x)$')\n",
    "plt.title('Normal Probability Density')\n",
    "# Approximate the integral as the sum of width * height for each interval.\n",
    "area = np.sum(dx*y)\n",
    "# Display info in the graph.\n",
    "_ = plt.text(-.6, 1.7, '$\\mu$ = %s' % meanval)\n",
    "_ = plt.text(-.6, 1.5, '$\\sigma$ = %s' % sdval)\n",
    "_ = plt.text(.2, 1.7, '$\\Delta x$ = %s' % dx)\n",
    "_ = plt.text(.2, 1.5, '$\\sum_{x}$ $\\Delta x$ $p(x)$ = %5.3f' % area)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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kTVaVdrs98FYaqjYlT0RfrTe3Af630HQLsFGrUXu2pJIkSZI0eJ2b9FLvKSVJ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\nu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fuLgTcucPumgeAoWNlgm9kBYpPHYC7zvTZWNtjXoiFnk4sBGsxjrJRB1OEs/HhOAbVW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\n1W2GreW8TgQOp+gpO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      "text/plain": [
       "<matplotlib.figure.Figure at 0x113e4dd10>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 397,
       "width": 942
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "\"\"\"\n",
    "03_RunningProportion.py\n",
    "Goal: Toss a coin N times and compute the running proportion of heads.\n",
    "\"\"\"\n",
    "\n",
    "# Specify the total number of flips, denoted N.\n",
    "N = 500\n",
    "# Generate a random sample of N flips for a fair coin (heads=1, tails=0);\n",
    "np.random.seed(47405)\n",
    "flip_sequence = np.random.choice(a=(0, 1), p=(.5, .5), size=N, replace=True)\n",
    "# Compute the running proportion of heads:\n",
    "r = np.cumsum(flip_sequence)\n",
    "n = np.linspace(1, N, N)  # n is a vector.\n",
    "run_prop = r/n  # component by component division.\n",
    "\n",
    "# Graph the running proportion:\n",
    "plt.figure(figsize=(16,6)) # Brian added\n",
    "plt.plot(n, run_prop, '-o', )\n",
    "plt.xscale('log')  # an alternative to plot() and xscale() is semilogx()\n",
    "plt.xlim(1, N)\n",
    "plt.ylim(0, 1)\n",
    "plt.xlabel('Flip Number')\n",
    "plt.ylabel('Proportion Heads')\n",
    "plt.title('Running Proportion of Heads')\n",
    "# Plot a dotted horizontal line at y=.5, just as a reference line:\n",
    "plt.axhline(y=.5, ls='dashed')\n",
    "\n",
    "# Display the beginning of the flip sequence.\n",
    "flipletters = ''.join([\"T\",\"H\"][flip] for flip in flip_sequence[:10])\n",
    "\n",
    "_ = plt.text(10, 0.8, 'Flip Sequence = %s...' % flipletters)\n",
    "# Display the relative frequency at the end of the sequence.\n",
    "_ = plt.text(25, 0.2, 'End Proportion = %s' % run_prop[-1])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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RvS/JK5LsneRts/smjnV3THJmkudlCMVfluTKJK+sqlMn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MVYAyNiLvA54BTgZ8C5wE+BE4AvRsQWzYQsSZIkSZIkSerkjvSGRMQSip3oKzJzaUf9ZcCREXFI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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x114350750>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 673,
       "width": 745
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "\"\"\"\n",
    "04_BayesUpdate.py\n",
    "Bayesian updating of beliefs about the bias of a coin. The prior and posterior\n",
    "distributions indicate probability masses at discrete candidate values of theta.\n",
    "\"\"\"\n",
    "\n",
    "# theta is the vector of candidate values for the parameter theta.\n",
    "# n_theta_vals is the number of candidate theta values.\n",
    "# To produce the examples in the book, set n_theta_vals to either 3 or 63.\n",
    "n_theta_vals = 3.\n",
    "# Now make the vector of theta values:\n",
    "theta = np.linspace(1/(n_theta_vals +1), n_theta_vals /(n_theta_vals +1), n_theta_vals )\n",
    "\n",
    "# p_theta is the vector of prior probabilities on the theta values.\n",
    "p_theta = np.minimum(theta, 1-theta)  # Makes a triangular belief distribution.\n",
    "p_theta = p_theta / np.sum(p_theta)     # Makes sure that beliefs sum to 1.\n",
    "\n",
    "# Specify the data. To produce the examples in the book, use either\n",
    "# data = np.repeat([1,0], [3, 9]) or data = np.repeat([1,0], [1, 11])\n",
    "data = np.repeat([1, 0], [3, 9])\n",
    "n_heads = np.sum(data)\n",
    "n_tails = len(data) - n_heads\n",
    "\n",
    "# Compute the likelihood of the data for each value of theta:\n",
    "p_data_given_theta = theta**n_heads * (1-theta)**n_tails\n",
    "\n",
    "# Compute the posterior:\n",
    "p_data = np.sum(p_data_given_theta * p_theta)\n",
    "p_theta_given_data = p_data_given_theta * p_theta / p_data   # This is Bayes' rule!\n",
    "\n",
    "# Plot the results.\n",
    "plt.figure(figsize=(12, 11))\n",
    "plt.subplots_adjust(hspace=0.7)\n",
    "\n",
    "# Plot the prior:\n",
    "plt.subplot(3, 1, 1)\n",
    "plt.stem(theta, p_theta, markerfmt=' ')\n",
    "plt.xlim(0, 1)\n",
    "plt.xlabel('$\\\\theta$')\n",
    "plt.ylabel('$P(\\\\theta)$')\n",
    "plt.title('Prior')\n",
    "# Plot the likelihood:\n",
    "plt.subplot(3, 1, 2)\n",
    "plt.stem(theta, p_data_given_theta, markerfmt=' ')\n",
    "plt.xlim(0, 1)\n",
    "plt.xlabel('$\\\\theta$')\n",
    "plt.ylabel('$P(D|\\\\theta)$')\n",
    "plt.title('Likelihood')\n",
    "plt.text(0.6, np.max(p_data_given_theta)/2, 'D = %sH,%sT' % (n_heads, n_tails))\n",
    "# Plot the posterior:\n",
    "plt.subplot(3, 1, 3)\n",
    "plt.stem(theta, p_theta_given_data, markerfmt=' ')\n",
    "plt.xlim(0, 1)\n",
    "plt.xlabel('$\\\\theta$')\n",
    "plt.ylabel('$P(\\\\theta|D)$')\n",
    "plt.title('Posterior')\n",
    "_ = plt.text(0.6, np.max(p_theta_given_data)/2, 'P(D) = %g' % p_data)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "\"\"\"\n",
    "HIDofICDF.py\n",
    "This program finds the HDI of a probability density function that is specified \n",
    "mathematically in Python.\n",
    "\"\"\"\n",
    "\n",
    "def HDIofICDF(dist_name, credMass=0.95, **args):\n",
    "    # freeze distribution with given arguments\n",
    "    distri = dist_name(**args)\n",
    "    # initial guess for HDIlowTailPr\n",
    "    incredMass =  1.0 - credMass\n",
    "\n",
    "    def intervalWidth(lowTailPr):\n",
    "        return distri.ppf(credMass + lowTailPr) - distri.ppf(lowTailPr)\n",
    "\n",
    "    # find lowTailPr that minimizes intervalWidth\n",
    "    HDIlowTailPr = fmin(intervalWidth, incredMass, ftol=1e-8, disp=False)[0]\n",
    "    # return interval as array([low, high])\n",
    "    return distri.ppf([HDIlowTailPr, credMass + HDIlowTailPr])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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EkiRJ7adXCumXAB8MIby50UExxntjjF+kWlB/P1AMIbypFQElSZKkOvVtXSyk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\npdwkzayL/nzroJdS3pPmZj7XWT99SDO9yf72aW7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jJE+dbSil7JLkhUkuafcP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HdvRXQAd3/e3c8kPPJxCvBdM/tok+7dyLlACkwDzgKeJhTGr+jrRDNbnLAZy5eAPxN2O18a+KmZ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6xyvpclSm7VMkk9P+dn0Plo48/xHwrhDCmBjjq5nNfyQpjfJVkoR7i0II44EpNZzu0zHGX7ex\n/XDgsfQLg+o4Wz1/lRnAriGEkTHGOZn2SomamZm2ykjrWhLp6xPb4STJ/Ntb6FtdimlGuhxf1b45\nSbJ7ZlU7IYSjSZ5u2ZMk2f4Q8P0Y4x3rfBWJA0lq5a/RP8a4NITwAPC+EMJGMcZ5IYT+wK7ATTUe\nW5KkWnyAzECaWS9vYlmXOvDSE1u/vNtBj00fMGhlZf6TAnBWnjFJkiRpbX0mkQ4QQhgMHAy8RJJ0\nG0GS3NqDpNTE8LTrPOAFkiTWt4C7umsEepVWR+OGEC5PY1T32CFdZuugfxyYVT1p6Hq4Nz3GASRf\n7AAQY5yfJlb/O4TwhfRLoJa8QfIha10jyf7d2oYQwmYkpYpuCSHsTDI6+r3p5ltIyoo8X8Nr+THJ\naO7fhxBOAV4jKU1zPMlI8DszfSuJ9J1DCPem64tIaqt/q/Jl1frEFkJoIEk8PxJCGAucT5IsGArc\nA5weY3w0E8MNQAS+GEKYBFwPjCUZ5b6KpLRO9n06G/g2MJU3J5I9Grg1hHB8axPRVtmeZJLQRS1s\nez5d7kjyfgVgELA0nZj1vcBI4GGS5P3NNZxPkqRqq8u6rFrVsHTyxB1r+VJbXa3cj4Vzhj00YrN5\nlfr1by0US2ObmxpfaXM/SZIkdas+k0gPIWwI3MWbE/itAppijKfnF9U6dcZIYXVQWtP8gyTJ3hvT\ntqHAvqyZIF5flaT8mBa2TQLeRTLRaYuJ8BjjXDo+WmlsutyKpF74sySTdO4CfBQ4MISwb1Vd+JZi\n+XUIYQVJkvnZzKZbgI9VfRlQSaR/h+QLhPuAd5CM8D80hPCOdOLW9YltBLABSeJ8IjCf5EmBscBR\nwD0hhINijJPSeJelExD/EcgmwZcCR8cY/1ZpSJ8M+TbwT+CIGOOStP1M4AGSCVVvjjG+3tZ7RPKU\nS2t1aOemyxFV79HRJF8E/IbkCZkPAX8PIXw2xnjlOs4nSdJqhWJpMMmk4AAsWTDk30sWDF2WY0jK\neP2FzSZmEumQlHe5PK94JEmStLY+k0gHvkYyIvRvc282ZwAAIABJREFUJCPP/wv4WghhWozx4lwj\na0EnjhRW7T4cQtgusz4Q2Inkg0w/4LQY46x02+7p9ic7cL7KUwYbtbDtiXS5D22MKO8Ew9LlgcCv\ngRMqSe8QwgTgYpLR2Ue1dZAQwiFp36XA70nKJL0POBQ4Bzgl030RSW3zD8cYn8oc45vA99PjfGQ9\nY6v03Ru4FShkSiEVgBLJh9G3pm2DScrnHESSeL+bJFH9YeDiEMKUzAj2yqSjX6sk0QFijLNDCD8A\nfkkycenP23qPSP57WdrKtkr7kMxyMvCrGOMPM+/RLsD9wM9CCH+PMc5AkqTaHMSbT18y99WRlnWp\nI5Mf2vHJbfd5bmG//uXKPU0jJtIlSZLqSl9KpH8U+GiM8RaAEMIw4FTgeyGE38QY38g1urV1ykhh\nrZfG9KdiOUmt7JuAS2KMt2a2bZYu1zUKuS0bpsuWJpOsHHfT1nYOIYwgqdm9Ln+tKmuStSpdrgC+\nUjVy/JL0+B8IIQzJJpGr4tgY+AvJ+7VP5QmKEMJAktHeJ4cQnowx/gIgxthaUv58kgk3j0wncq05\ntkzfMlCsKoXUHEK4AzgohLB9jPE5ktHwHwV+FmP8Uua17EfylEFz2nc5afId+GgIITtSDJL/PyF5\ncmBdFpOUa2nJ4HS5MI35KpJ5GdYQY3wqhHARyfwIfsCWJK2P1WVdymXKUx/Z7l95BqM1LV8yaMXi\n+UMnDRu56MC06eBCsTS8uanRScclSZLqRF9KpA+rJNEBYowLgXPTZN/HgF/kFlnLOmWkcBvWVVe7\nz5gwYQKXXHIJF1xwAR/60IeymwaRTJa5JUlJjdUuvPBCvva1r3H66aefQzLierXzzz+fb37zm0yY\nMOEs2ii9cvDBB3P77bdz6aWXXkzy91ztyiuv5IQTTuAzn/nM+SQJ5rXcdtttHHLIITQ0NFAut/zn\nbGho4Pzzz/9eazHccMMNHHnkkYwbN27gzTffvMaXSTFGTj75ZG677TZuvPHGxa0d4wc/+AFnnHEG\nEyZMYMKECc9m9581axYHHHAAe+yxx89Zx4jtqvMtXLlyZc2xjRkzhr333puBAwc2PPbYY2vVez3+\n+OO5+uqr+dWvfjUZYKuttmLWrFlMnDjxFDKj5WOMnHXWWVxzzTVbX3755csAxo0bx4svvgjwjZbi\nbmho4NBDDz0ROPGqq65i/vz5a2zfb7/92Hfffdl8880hqeO+1h/rmGOO4Y9//CN//etf72jrPQK4\n5JJLmDBhAieddNJlwGXr6t9JvF5IqpXXizpULpfZZORQXp+T/HM+ZsTGDVf9fJOrcw5LVSbP2IXb\nn5pUWR18xvFvn99W/x7Oa4WkWnm9kFQ3+lIifVYr7T8lGdVZb4n0Do8UVtcZMSIpZV2dNK3VihUr\neOSRR+jfvz977rnnWtvnzZsHwJAhQ9baVrHVVlvx9NNPt+v8FVtvvTX9+vVj+fKW59JdsWIFAEOH\nDm31GDNmJNVFtttuu7W2jR49mpEjRzJ9+nQAli5dSoyRwYMHE0JYq/+SJcl/yoMHD2b06NE1xzZ0\n6FA23XRTZs+ezcqVK+nfv3+LfSvv54wZM9hmm20YNGjtAeI77JDMK1uJeYMNNmDAgAE8+uijax23\n2tVXX80rr7w5L1hDQwMNDQ3su+++jB8/nkmTJrFs2bK1zjtt2jT69+/PuHHjAJgyZQozZszgv/7r\nv9Y6x9KlyWD7lmKXJKklU1+ZtzqJDrDN6JamZ1Hethm9+RoDJCY+8SoH7Dl2HXtJkiSpuzS0NpK1\ntwkhPBRjfHsr2/4YY/zv7o6pLSGEXYHHgckxxp1a2P5XktIOO8cYn1nPw5eBho5H2Tukk0Z+F/hU\njLGm0VkhhL1Iapf/IsZ4ctW2T5FMunlmjPHsVvb/GEkt8ZtjjIe3sP3zJCO4T4wx/r/aX836CyHc\nD+wH7JiWPam0DwCmkpQd2bzqy5zs/scDVwLfizGeU7VtY5IvsR6JMe4TQtiepEzRYzHGvar6bgA8\nD6yKMY5Z39hCCNcAxwCHxhhva+E17gNskdY2fx4YBWxW/UVUWjrlS8CHYozXhRCuAj4J7BdjfKiq\n79tJ6qr/PcZ4T0vvT6bvWSQlZd4fY/xHpn0IMAOYGmN8S9p2N3AA8NYY47+rjvMz4IvAkTHGv7d1\nzk5Q+Zt7vZC0Ll4v6lihWPoOsPqe5D//2GvCi4+NtzxgHTrkpJvOHjJ8aaVk3Gxg8+amxhV5xtTJ\nvFZIqpXXC0m16rY8Z7/uOEmdaOsNXdltUdRuCsmo9NaGnQ5Ml4u6JxxVeZZkgsjd1nfHNAl/McnT\nBt9ppdvu6bK12uadqVJn++I0QV1RJClrc3VrSfTU9SS1vU8JIWxbaQwh9Ad+nK5eA5Amwx8F9ggh\nHJvp2wBcQDLBbvbpkPWJrdL3hyGE1ZOphRCOIUnGN8cYZ6fNfyCZcO372RcSQtgDOJGkNn6lJv5V\n6fInIYQNM32Hk5RWOYParqW/J7nWnBlCyP5//U2SevnZeud/SpffT9/HyjkPSOObTFK7X5KkWqye\n42PFsv6vvvj4NibR69Tc10Y+mFkdRfLFuiRJkupAXyrtsl0I4T3AXTHGekycryHGuCSE8BCwX2aC\nRGD1aNy9SCaknJZXjH1ZjHFROoHlu0MIA2KMLY0Uek8IoZJgbSBJ3O4OHEzyJcnnY4ytTfR1AMlI\n7kmtbO80McYrQwgFkjrwj4QQbiKZ1PZwIFJV5z0dwV+OMZ6V7j8rhPAFkoTzIyGEPwFzgfcCewJ3\nkNTzr/g8cDvwmxDCR4AXgHeRTOp5J3Bee2KLMf4zhHAxyWjyx0MIfyGZDPQo4FXWnJj1HOBQ4Ktp\ncvpukgl+P5JuPyHGuCg97h2Z4z4RQvg7yZcoH06P/4sY4101vM8xhHAhcDrw7xDC9SRfxHwAuAf4\nZab7L4D/Tl/nIyGEW4Ct0/dhMXBsjHEVkiStQ6FYGgu8rbK+cM6wiZT70lianuXF/4x7cPPtZnwu\n09RIcn8kSZKknPWlu+iRwG3AGyGE60MIX0lHn7YphPCWdfXpQh0dKazalGnfBCYlYAjw7haOB8lE\nsd9Nf74DfAEYT5JwfnuM8YqWDhpCGAPsAfyxG/++RwNfTX8/mSQBfgmwf4yxuhB85TWtFmP8LUni\n/D6SxPUXSZ6a+DZJKZPlmb4PAvsCfyF5775IMrnut4H3Zfuub2wxxlOBT5OMKP88yd/gdyRlWV7K\n9FuYbjsPGA18GTiMZJT3O2OMN7Rw3E8ALwHHkZR6eSU91wRqFGP8Rtq/TJKY35Vk1P4RVe/RMpIv\nXL5PUr5mQvpeXUtS7qW1L2AkSap2ZHZl5gubTcwrEK3bjClbvL5sycApmabGQrFkWQNJkqQ60Jdq\npC8C/kwy8nWbzKaZwDKSetR3AxPTJFZlv4djjPt0Z6xZ6ajaDwFPkiT5sqNx920hyVkLa6R3grSm\n9wskdc6P68Tjfp0kwbtzjHFyZx1XagfrEkqqldeLOlUolq4HjgBYtbJh4S2XHn7ciqUD6/7pzL5s\n/2Pu/tioLWcfm2navbmp8YncAupcXisk1crrhaRaWSO9C0yOMX4ixjge2A44AbiapEzClsC5wF3A\n3BDC3SGE80MIjem2PK3PSGF1o7T0x0XAUSGEUZ1xzLQUzGdIRqObRJckSe1WKJaGAYdU1hfPHzrJ\nJHr9m/7s2OqnBhpzCUSSJElr6Es10leX0YgxPk9SXuMqgHSCxIMyPwfw5sQ+uQ7ZT+u5X8SaNaZV\nP35CUt7jG8DXOuF4x5HU6n5fJxxLkiT1bYeSlAgD4I1XRlnWpQeY+u9tp4QDnpo5YODKTdOmRjJz\nyEiSJCkffWZEeoyx1UR0jHFqjPHKGOPxMcZxwA7AZ4E/4WNEakM6Kv0E4AshhK06cqwQwmCSyTNP\njzG+0BnxSZKkPu2oyi/lMiunTNq+yycxVyco92PRnGEPZlr2TSeNlSRJUo760oj0msUYpwBTgCtC\nCM/nG43qXYzxLmB4JxxnKbBtxyOSJEl9XaFYGgQUKutLFgx5dN7MkQtzDEnrYeYLmz640abzshPF\nFoDL8opHkiRJfWhEegfMyjsASZIkaT0dBIysrMydMfL+/ELR+nr2wfD4qpUN2S8+PphbMJIkSQJM\npNfiyHV3kSRJkupKtqxLecrD2z/YVmfVlxVLB65cPH+DbCmegwvFUoefgJQkSVL7mUhfhxjj9Lxj\nkCRJkmpVKJb6Ax+urC9bPOjJ2S9vMifHkNQOb7yycfbLj8HA+/OKRZIkSSbSJUmSpN5mf2Czysrc\n1yzr0hM999COk8plVmSaGnMLRpIkSSbSJUmSpF7mqOzKC4+ON5HeA82ftdGipQuHPJ5pOqJQLA3I\nLSBJkqQ+zkS6JEmS1EsUiqUGMon0ZYsHTp7x3BYzcwxJHTD3tREPZFZHAQfkFYskSVJfZyJdkiRJ\n6j32AbaprMx/fSNHo/dgLzw6fmJVk+VdJEmScmIiXZIkSeo91ijr8tKTW9+XVyDquNemjnl92ZKB\nUzJNjelTB5IkSepmJtIlSZKk3mN1In350gEvvfzEuGl5BqOOWzBrw2x5l+2AvfKKRZIkqS8zkS5J\nkiT1AoViaRdg58r6glkbWtalF5j21FbVTxUcnUsgkiRJfZyJdEmSJKl3WKOsyyvPjLWsSy/wwmPj\nXly+dMDLmaajLe8iSZLU/UykS5IkSb3D6kT6iuX9X5v67+2mtNVZPUS5HwtmbXhvpmVHYI+8wpEk\nSeqrTKRLkiRJPVyhWBoP7FNZXzh7+P2UvdXvLaY9vdW9VU2Wd5EkSepm3l1LkiRJPd8aZV1mTBlj\nWZde5PlHxz+/YtmA7MSxlneRJEnqZibSJUmSpJ5vdSJ95Yp+cyY/tGPMMxh1snI/5q9Z3iUAu+UV\njiRJUl9kIl2SJEnqwQrF0hbA/pX1RXOGPbBqRf9VOYakLjDt6S2ry7t8NJdAJEmS+igT6ZIkSVLP\n1gisLvMx84XNLOvSCz3/yLZTVyzrPz3TZJ10SZKkbmQiXZIkSerZVpd1WbWyYeEzD4TH8gxGXWTt\n8i67FoqlXXOLR5IkqY8xkS5JkiT1UIViaRPgPZX1RXM3eHDF0oErcwxJXWj6M5Z3kSRJyouJdEmS\nJKnnOhoYUFmZ9dKmlnXpxaY8vN1zK5b1n5FpsryLJElSNzGRLkmSJPVcH6/8smplw4Kn793l4TyD\nURcr92PB7A3vybTsXiiWds4tHkmSpD7ERLokSZLUAxWKpW2Ad1XWF84Zfu/yJYNW5BiSusH0Z8ZW\nP3VgeRdJkqRuYCJdkiRJ6pmOya7MeG7MXXkFou7z3KTtn12xvP9rmSYT6ZIkSd3ARLokSZLUMx1b\n+WXlin6zn3kgPJFnMOom5X4smD08O+noXoViacfc4pEkSeojTKRLkiRJPUyhWNoFeEtlfcGsDe9e\ntaL/qhxDUjd69dmx91Y1OemoJElSFzOR3oOEEC4MIawKIRyYdyySJEnK1cezK9PilnfmFYi63+SH\ndnhm5fL+r2eaLO8iSZLUxUyk9xAhhH2BU4Fy3rFIkiQpP4ViqYFMIn3Fsv6vTJm0/eQcQ1J3W7u8\ny96FYmn73OKRJEnqA0yk9wAhhEHAFSR/r4acw5EkSVK+3gbsUFmZN3PEXZS9re9rXn1uC8u7SJIk\ndSPvuHuGb5F8WLo170AkSZKUu2OzKy8+vo1lXfqgyRN3iCuX95uVafp4q50lSZLUYSbS61wIYU/g\nDOA84Imcw5EkSVKOCsVSf+CYyvqyJQOnvPzEuGk5hqSclFf1L8+fveFdmaY9C8XSXrkFJEmS1MuZ\nSK9jIYT+wP8DngHOx7IukiRJfd27gS0qK3NnjHQ0eh/28hPb/LOq6ZO5BCJJktQHmEivb6cBewOf\njTEuzzsYSZIk5W6N8h1TH97u7rwCUf6ef2S755cvGfh8punYQrE0IK94JEmSejMT6XUqhLATcCZw\nSYzxwZzDkSRJUs4KxdJg4KOV9aULBz/+2tQxr+cYkurAnBkjb8+sjgEOySsWSZKk3szRCnUohNBA\nUtLlVeAbXXSachcdV1Lv4/VCUq28XnShb396X75/5cTV6wfvvfPup1zHdTmGpDqwaOk+/O7+m1f/\nz3fg3lvemGtAtfFaIalWXi8k1Q1HpNenk4EDgC/EGBe1sN1a6ZIkSX3Mnf9+c07RhoYGttt0bI7R\nqF5sMHgIW43abPX6A49NZ9ESq0JKkiR1toZy2S/36k0I4Q7gwBq6jo8xvtiOU5QxGS9p3Sr/QHi9\nkLQuXi+6WKFYGg68BgwFWDx/yEO3/fL95+QblerFWw6fdOBWu7x8WqbpM81NjVfkFlDrvFZIqpXX\nC0m16rY8p6Vd6tOVwO0ttB8O7AdcBTwPzO2+kCRJkpSjRtIkOsDsl0fflWMsqjPxnl0eGBumLe7X\nr1z5b+QTQD0m0iVJknosE+l1KMb465baQwijSBPpMUY/PEmSJPUdn6j8Ul7Fsnj/zk5Gr9UWz99g\n2aI5w+4dPmpBZaLRgwrF0rjmpsYXcg1MkiSpF7FGuiRJklTHCsXSeOB9lfVF84Y9sGjO8CX5RaR6\nNP3ZLaqfaD0ul0AkSZJ6KRPpPUsZZ6yWJEnqa04gU/dx+rNb3JJjLKpTz9wfnlixvP/MTNMnC8WS\ntYUlSZI6iYn0HiTG+JUYY3/LukiSJPUNhWJpAEkiHYAVy/pPj/fu/FiOIalOlVf1L8+fudE/M007\nAfvmFY8kSVJvYyJdkiRJql+HAVtWVubM2PiW8qr+PqGoFr3wn/H/rGr6ZC6BSJIk9UIm0iVJkqT6\ndWLll3KZlc8+sNNteQaj+vbyk9tMW7Z40DOZpo8ViqVBuQUkSZLUiwzIOwCpHoQQ7gAOBAbEGFd1\n8rHfDoyMMf6jg8f5JbB5jPGDnRPZGsceCzwFfDfG+NM8+rb3GCGEAcApJImG8cB04Ergghjjiqq+\no4HvAUcAWwBTgauAH8cYV2b6nQMcDBwQY3TUnyQpF4ViaSzJv1kALJ43dOKslzadk2NI6gHemL7x\n7ZtvN2OndHUU8AHgbzmGJEmS1Cs4Il16U6cnTEMIRwAPALt08DjvAY4HTmtl+/gQwqUhhAtCCNeG\nEIavx7GHA38BNmQd70FX9e3gMS4BmoCZwEXANOBs4JqqY20I3ANMAB4D/heYC/wA+GvVMX8AbJf2\nlSQpL58G+ldWZjw3xklGtU7PPrjT3eUy2cEElneRJEnqBCbSpa61KdDQkQOkI64vB34XY3ymhe3j\ngT8D34sxngHcD5xb47HHAXdSw0RUXdW3I8cIIexPMhL92hjju2OM34wxHghcDXwk/SKj4htAAL4U\nY/xQjPH0GOP+JAn3I0MIH6h0jDEuAM4Hzg0hbN7e1yBJUnsViqV+wGcq6yuW95/51D27/TvHkNRD\nzJk+av7i+UP/lWk6slAsjc4tIEmSpF7CRLrUPTqSTP8osD1wcfWGEMIgkiT6/8YYZ6TNLwEfWtdB\nQwinkozM3gO4PY++nXCMk9PlWVXt3yAZwf7ZTNs44EXg51V9/y9dvqOq/QqSa+SXaotakqROdTCw\nbWVl3msj/rFqRf9OLT+n3uv1FzbL3j8NBI7LKxZJkqTewhrp0pq2DyE0Ae8FlgA3A9+OMU7Ndgoh\nbAR8Ezga2BJ4HbiOZFT4zLTPVbz5KO1PQgg/AcbHGF8MIewOnA4cBGyWnusxklrdf6mK6avAUzHG\nlkahfRnYHPhtpm0EsHUIoT/wLpJE9J0xxve0sO9U4HMkI7Xf28b70lV9O3qMA4GZMcYns40xxukh\nhGfT7ZW2/2nlGDunyxnZxhjj/BDC9cDnQwjnxhgXrf/LkCSp3bKTjK6aPHHHW/MMRj3L0/fs8q+t\ndn1pXr/+qzZKm75YKJb+t7mp0S9jJEmS2skR6dKbGkhKiWwH/Ay4D/g4cH8IYetKpxDCCOBe4OvA\ncyR1ue8HTgImhhDGpF3/CpTS328CzgTmhhD2BSaSTPx0I3AhScJ+X+BP2XIkIYTtgbel29cQQhhC\nkoz/f1WTalbqsfcjSUafSTL5ZrWTgLfEGB9g3SPmu6pvu48RQhhM8iXGc60c43lg43SC0Zb23yyE\n8EWS0ewvsOaXERU3AxsD71+v6CVJ6oBCsbQpmafLliwY8vBrU8e8nmNI6mGWLR68Yu5rG2Vr6u9E\n8pSDJEmS2skR6dKangbeV0lMhxBOAi4lqZddeST2PGA34IsxxksrO4YQCiSJ858Cx8QYSyGEjYFG\n4KYY48Vpv7NJJg7bP8YYM/sfTVJm5FjghrT5oHSZrXNZ8TFgFG+WJqk4AJgXY1xOkiA+u6UXGmP8\nR5vvRDf07eAxRqXLOa1sn5suRwCzshtCCOcA30pXZ5D8zeeytknp8iDWnpBUkqSucjxJOQ4AXpu6\n+VpfqEvrMnniTje+7YMTj2poWD14agLQ4fs0SZKkvsoR6dKaTs+O7o4xXg48QzJx5cB04s9PAo9n\nk+hp32aSUexHhRCGt3GOHwP/k02ip+5Ml5tm2vZJl0+ytg+TlIRpCiHcmP7cSjKC/dE2X2XvUEkw\nLG1le6V9SAvbngMuIEmObwrcE0LYu4V+T5PUWt+nhW2SJHW6QrHUQGaOj5Ur+r3x1N27tfSFutSm\nGc9tMXPx/KEPZZqOLBRL4/OKR5IkqadzRLr0pmUxxodaaJ9I8jjszsAqYBgwIIRwZgt9h5CMNt+T\nJKm+lhjjLQBpCZi9SCYS3Rl4Z9qlf6b7Zulyjce50/rn7wb+EmM8LtN+OEk98X+29iJ7kcXpclAr\n2weny4XVG2KMV1V+T0vpXAdcTTK5abbfshDCPNb8ckOSpK70LpL5QQCYN3OjW1csHbgyx3jUg01/\nZuwN27/tuf3S1X7A54EzcgxJkiSpx3JEuvSmma20z0+Xw4CR6e87A99t4WcfkhHMG7d2khDCNiGE\nvwHTSGqkX0xSs7Iy2ixbE3xEerzqiS63BDYiqc2e9YF0eW1r5+9F5pK8NyNa2V5571oq2bJajPEG\n4DZgt7QmfbWFtPH3lCSpk52YXZn68PaW4lC7PX3PLo8uXzpgWqbps4ViqaWn9SRJkrQOjkiX3jSy\nlfax6XI2MDT9/eoY46fW9wQhhAaS+ue7AOcCfwOeiDEuDSFsRuZR7sw5G0iSwrMz7Zuny9UlX9Ky\nM/8N3BVjfGJ9Y+tp0tHiLwDbttJlW2BmjHFOOoL/Pel+t7bQ98V0OZq1Jy8dSdUTAZIkdYVCsbQx\n8NHK+pIFgx99JW71ao4hqYcrr+pffuOVUTdstu1rJ6VNo0nuF6/OMSxJkqQeyRHp0puGhRBCtiGE\nMAh4OzAPeBaIJLW339bSAUIIJ4cQvhVCqEyEWa7qsifJRKV/jjF+N8b4cIyxUst713SZHZE+PV1u\nUnWcSh337Ifrw0lKkHynldfXG90NbBFC2DHbGEIYC+wIPJA2NQDNwO9CCC1d9/YiKdszteo4Q4AN\ngJc6OW5JklpyApm5PWa+sJmTjKrDnrprt9tXrWpYkmmakFswkiRJPZiJdGlNZ6ajxivOIBmRflWM\nsRxjXAL8H7BrCOGr2R1DCO8Gfgp8OsZYGT2+PF1W6nVXPsRsXrXvKOBH6erAzKbH0uXuVXFWRlCv\nyLQVgctjjHe38fp6m8poqvMqf7d0eX7afjlAOoHsn0m+aPha9gAhhC8AbwVuiDFWl/epvO99YfJW\nSVKOCsXSIODUyvrKFf3mPnXXbg+0sYtUk/mzNlq0YPbw7Pw5by8US/vmFpAkSVIPZWkX6U3zSCbq\nfCCEcCewN0nt8ieAb2f6nQbsD1wYQmgkmYx0K+AoktHqJ2T6vpwuvxBCGE1SD30icGAI4S6SCUk3\nARpJRkPPZM3R538nGdX+TuDKSmOMcVYI4T6SEjHPhhBOIEnAfyn7gkII44FPAVNjjL9e73ekC3VG\nbDHG20II/wccA9wfQriD5G/zTuDaGOPfM92/DhwInB9COAh4nORv/F5gCvC5Fk5xQLq0Pq0kqat9\njOR+AoA5r468ftniwSva6C/V7IVHtr1hj0P+c3im6WSSe1JJkiTVyBHpUqJMkkg/iGRy0ZNJRiNf\nArwzxrig0jHG+DqwH9BEMunnKSQJ1xLwjhjjXZm+d6XHGAV8EQgkSfOrSGp4fzk91g+Bd5FMHrpj\nCGHbdP9XgYeAQ6pGykMyGdmJIYRfkJSMeU+McVlVn/Ekk6AeX8Prry5D09V9x9M5sX0iPc4mJO/n\nZiTlbY7LdooxvkJSpueXJO/Xl4HtgZ8Ab0/f62rvA94gmRRWkqQuUSiWGki+qAdg1aqGpU/eufvf\n29hFWi8v/GfbF5cuHPx4pumYQrG0aW4BSZIk9UAN5XKt+TD1ImXWrMOtOhZCOAa4BnhfKxNlrmv/\nI4BTYoyHdXpwHVTnsY0FXgDOizF+L+94clL5B8LrhaR18XrRAYVi6TAyX9rOfW2j6+/+7XsuzzEk\n9UJ7ve/f+2+9+4tnZJq+0dzUeEE3h+G1QlKtvF5IqlW35TkdkS7Vvz8Cz5CMQF8v6Sj2jwGPdHZQ\nHVXPsaU+DSwGLso7EElSr7d6/o5ymVWTH9yplGcw6p2euHP3B1eu6Dc70/T5QrHUP7eAJEmSehgT\n6VKdizGWSSYf+0gIYY/13H17YCPg3E4PrOPqNrYQwkjgq8BZMcY38o5HktR7FYqlt5LM1wHAorkb\n3Dv92S1n5BiSeqkVSweunPPqyGy5unHAEXnFI0mS1NOYSJd6gBjjTSR11c9fz/0mxxgbY4zzuySw\nDqjn2IDTSZ4C+HHegUiSer2vZVdeeHTbv+QViHq/Z+7f+eZymewkthNyC0aSJKmHsUZ632SNdEm1\nsC6hpFp5vWiHQrG0LTCZdHDLkoWD/3PrZYd9O9+o1Nu954RbTxs2cuGBmaa9m5sau6vUntcKSbXy\neiGpVtZIlyRJknq5r5C5H38lbulodHW5lx79+4IfAAAc00lEQVTfurmq6bu5BCJJktTDmEiXJEmS\nulmhWBoNfKayvnzJgOefvHO3h3MMSX3E5IkhLlkw+NFM04cLxdKeuQUkSZLUQ5hIlyRJkrrfF4EN\nKiuvPb/5Xyl7a67u8eLj466pavpOLoFIkiT1IN6tS5IkSd2oUCwNBU6prK9c3u/1x27b664cQ1If\n88x9uzy5ZOHg/2SaPloolnbPLSBJkqQewES6JEmS1L2OBzatrMyeNrq0YunAlTnGoz7opce3+UNV\nk6PSJUmS2mAiXZIkSeomhWJpAFCsrK9a2bDw8X/ueUuOIamPivfu+vjShYMfzzQdXSiWds0tIEmS\npDo3IO8A1LoQwhjgTOAIYDNgNnAr8N0Y49QcQ5MkSVL7nADsUFmZN3PETQvfGL44x3jUh730xDbX\n7LDvs+emqw0ko9I/nmNIkiRJdcsR6XUqTaJPBE4CngAuStePBR4KIezQxu6SJEmqM4ViaThwVmV9\n1aqGJU/dvWspx5DUxz19786PLV006IlM0zGFYmmX3AKSJEmqYybS69eZwFbAV2OMh8UYT48xNgKf\nBEYBTXkGJ0mSpPX2VWBMZWXO9I3/MuulTefkGI/6unI/Xn5y62yt9AbgW3mFI0mSVM9MpNevDwOv\nxRgvyjbGGH8HTAHel0tUkiRJWm+FYmlz4OuV9ZUr+s155Oa9/5ZjSBIAT92966NLFw16KtP08UKx\ntFNuAUmSJNUpE+l1KITQDziXZFR6S5YCg0IIA7stKEmSJHXE94BhlZWZz2/2+0Vzhi/JMR4pUe7H\ntKe2vibT0g/4dl7hSJIk1auGcrmcdwxaDyGEnUlqpj8XY2zvSJEyyWObktSWyj8QXi8krYvXizYU\niqWdgceB/gDLlw6Yduvl7z955fIBq/KNTEo1rOLQz938o8EbLAtpyypg5+amxmc7+UxeKyTVyuuF\npFp1W57TEek9SDpS/Wck/3FcnnM4kiRJqs35pEl0gFfilleZRFddKfdj2tNbVY9KPzOnaCRJkurS\ngLwDUG1CCA3AZcB7gYeAi9reY518FEFSrbxeSKqV14sqT0yZtcb6mBGjOfGUvb7V8KWcApJaUS7v\nzt8ens3M+avnvz328edeP3b37TfpktN1xUEl9UpeLyTVDUek9wAhhAHAFcBngOeAxhjjinyjkiRJ\nUlvK5TJXXv/EGm3v2H5XGhp8Sl31p6Ghgf22222Ntkv/8h9WrPThCUmSJLBGet0LIWwAXAscDjwD\nHBJjfLmDh7VGuqRaWJdQUq28XrSgUCx9BPhTZX3hnA3u+ecVh/4wx5CkdXr38bedvuHoBQdkmr7S\n3NTY0adhK7xWSKqV1wtJtbJGuiCEsDFwO0kS/WHgnZ2QRJckSVIXKxRLg4ALKuvlMivjfbv8JseQ\npJo8dutevy+XWZBpOrtQLI3NLSBJkqQ6YSK9ToUQhgDXA/sCdwAHxRhfzzUoSZIk1epzwA6VlXkz\nN7rxlae3mp5jPFJNZk/bZM7ieUN/nGnaEPhRXvFIkiTVCxPp9es84L+A+4DDY4wL1tFfkiRJdaBQ\nLI0Dzq2sr1rZsOjx2/f8Q44hSevlwb/sfxXweKbp2EKxdFA+0UiSJNUHa6TXoRDCGOAFYCDJJKMt\nlXMpAxfEGJe24xTWSJdUC+sSSqqV14tUoVjqB/wDeG+l7fUXN/n1A3864M/5RSWtlw2Bu4/8amlb\n4M5M+5PAW5qbGpd34NheKyTVyuuFpFp1W55zQHecROvtHSRJ9DJwQit9ysBPgPYk0iVJktQ1Pkcm\nib500aCpD5X2+2uO8Ujt0tzUeFehWPotcFzatCvwJaApv6gkSZLy44j0vskR6ZJq4SgQSbXyegEU\niqXtgP8AwwDKZZY9ctM+35721NZP5xuZtF42BO4ul3mpUCyNASKwUbptAbBzc1PjtHYe22uFpFp5\nvZBUq27Lc1ojXZIkSeqgtKTLlaRJdIDF84f+eNpTW7c34Sjlrrmp8VXgO5mm4TgiXZIk9VEm0iVJ\nkqSOmwAcmFl/4J7fH3hZXsFInejnJE9aVBxTKJY+kFcwkiRJeTGRLkmSJHVAoVjaCbgg07QE+NSy\nRUNW5RSS1GmamxpXACdXNV9dKJa2yiMeSZKkvJhIlyRJktqpUCz1JynpMjTT/K3mpsaYU0hSp2tu\narwHuDzTNBr4Q6FYGphTSJIkSd3ORLokSZLUfqcC+2fW7wV+mlMsUlc6FXgss34AcE5OsUiSJHU7\nE+mSJElSOxSKpT2AczNNi4FPNTc1rswpJKnLNDc1LgaOBhZkmk8vFEtH5BSSJElStzKRLkmSJK2n\nQrE0BrgeGJxpPr25qXFyTiFJXS4tWXRSVfPVhWJpmzzikSRJ6k4m0iVJkqT1UCiWhgJ/A7LJw9uB\nS/KJSOo+zU2N1wCXZZpGYb10SZLUB5hIlyRJkmpUKJb6Ab8G9ss0Twb+u7mpcVU+UUnd7ivAo5n1\n/wLOyykWSZKkbmEiXZIkSard2SR1oivmAEc2NzXOyikeqdtl6qXPzzSfViiWCjmFJEmS1OVMpEuS\nJEk1KBRLnwS+lWlaARyV1o2W+pT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      "text/plain": [
       "<matplotlib.figure.Figure at 0x110e41790>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 729,
       "width": 745
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "\"\"\"\n",
    "05_BernBeta.py\n",
    "Inferring a binomial proportion via exact mathematical analysis.\n",
    "\"\"\"\n",
    "\n",
    "def bern_beta(prior_shape, data_vec, cred_mass=0.95):\n",
    "    \"\"\"Bayesian updating for Bernoulli likelihood and beta prior.\n",
    "     Input arguments:\n",
    "       prior_shape\n",
    "         vector of parameter values for the prior beta distribution.\n",
    "       data_vec\n",
    "         vector of 1's and 0's.\n",
    "       cred_mass\n",
    "         the probability mass of the HDI.\n",
    "     Output:\n",
    "       post_shape\n",
    "         vector of parameter values for the posterior beta distribution.\n",
    "     Graphics:\n",
    "       Creates a three-panel graph of prior, likelihood, and posterior\n",
    "       with highest posterior density interval.\n",
    "     Example of use:\n",
    "     post_shape = bern_beta(prior_shape=[1,1] , data_vec=[1,0,0,1,1])\"\"\"\n",
    "\n",
    "    # Check for errors in input arguments:\n",
    "    if len(prior_shape) != 2:\n",
    "        sys.exit('prior_shape must have two components.')\n",
    "    if any([i < 0 for i in prior_shape]):\n",
    "        sys.exit('prior_shape components must be positive.')\n",
    "    if any([i != 0 and i != 1 for i in data_vec]):\n",
    "        sys.exit('data_vec must be a vector of 1s and 0s.')\n",
    "    if cred_mass <= 0 or cred_mass >= 1.0:\n",
    "        sys.exit('cred_mass must be between 0 and 1.')\n",
    "\n",
    "    # Rename the prior shape parameters, for convenience:\n",
    "    a = prior_shape[0]\n",
    "    b = prior_shape[1]\n",
    "    # Create summary values of the data:\n",
    "    z = sum(data_vec[data_vec == 1])  # number of 1's in data_vec\n",
    "    N = len(data_vec)   # number of flips in data_vec\n",
    "    # Compute the posterior shape parameters:\n",
    "    post_shape = [a+z, b+N-z]\n",
    "    # Compute the evidence, p(D):\n",
    "    p_data = beta_func(z+a, N-z+b)/beta_func(a, b)\n",
    "    # Construct grid of theta values, used for graphing.\n",
    "    bin_width = 0.005  # Arbitrary small value for comb on theta.\n",
    "    theta = np.arange(bin_width/2, 1-(bin_width/2)+bin_width, bin_width)\n",
    "    # Compute the prior at each value of theta.\n",
    "    p_theta = beta.pdf(theta, a, b)\n",
    "    # Compute the likelihood of the data at each value of theta.\n",
    "    p_data_given_theta = theta**z * (1-theta)**(N-z)\n",
    "    # Compute the posterior at each value of theta.\n",
    "    post_a = a + z\n",
    "    post_b = b+N-z\n",
    "    p_theta_given_data = beta.pdf(theta, a+z, b+N-z)\n",
    "    # Determine the limits of the highest density interval\n",
    "    intervals = HDIofICDF(beta, cred_mass, a=post_shape[0], b=post_shape[1])\n",
    "\n",
    "    # Plot the results.\n",
    "    plt.figure(figsize=(12, 12))\n",
    "    plt.subplots_adjust(hspace=0.7)\n",
    "\n",
    "    # Plot the prior.\n",
    "    locx = 0.05\n",
    "    plt.subplot(3, 1, 1)\n",
    "    plt.plot(theta, p_theta)\n",
    "    plt.xlim(0, 1)\n",
    "    plt.ylim(0, np.max(p_theta)*1.2)\n",
    "    plt.xlabel(r'$\\theta$')\n",
    "    plt.ylabel(r'$P(\\theta)$')\n",
    "    plt.title('Prior')\n",
    "    plt.text(locx, np.max(p_theta)/2, r'beta($\\theta$;%s,%s)' % (a, b))\n",
    "    # Plot the likelihood:\n",
    "    plt.subplot(3, 1, 2)\n",
    "    plt.plot(theta, p_data_given_theta)\n",
    "    plt.xlim(0, 1)\n",
    "    plt.ylim(0, np.max(p_data_given_theta)*1.2)\n",
    "    plt.xlabel(r'$\\theta$')\n",
    "    plt.ylabel(r'$P(D|\\theta)$')\n",
    "    plt.title('Likelihood')\n",
    "    plt.text(locx, np.max(p_data_given_theta)/2, 'Data: z=%s, N=%s' % (z, N))\n",
    "    # Plot the posterior:\n",
    "    plt.subplot(3, 1, 3)\n",
    "    plt.plot(theta, p_theta_given_data)\n",
    "    plt.xlim(0, 1)\n",
    "    plt.ylim(0, np.max(p_theta_given_data)*1.2)\n",
    "    plt.xlabel(r'$\\theta$')\n",
    "    plt.ylabel(r'$P(\\theta|D)$')\n",
    "    plt.title('Posterior')\n",
    "    locy = np.linspace(0, np.max(p_theta_given_data), 5)\n",
    "    plt.text(locx, locy[1], r'beta($\\theta$;%s,%s)' % (post_a, post_b))\n",
    "    plt.text(locx, locy[2], 'P(D) = %g' % p_data)\n",
    "    # Plot the HDI\n",
    "    plt.text(locx, locy[3],\n",
    "             'Intervals = %.3f - %.3f' % (intervals[0], intervals[1]))\n",
    "    plt.fill_between(theta, 0, p_theta_given_data,\n",
    "                    where=np.logical_and(theta > intervals[0],\n",
    "                    theta < intervals[1]),\n",
    "                        color='blue', alpha=0.3)\n",
    "    return intervals\n",
    "\n",
    "data_vec = np.repeat([1, 0], [11, 3])  # 11 heads, 3 tail\n",
    "intervals = bern_beta(prior_shape=[100, 100], data_vec=data_vec)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<matplotlib.figure.Figure at 0x1145a4550>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 268,
       "width": 935
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "\"\"\"\n",
    "05_BetaPosteriorPredictions.py\n",
    "Posterior predictive check. Examine the veracity of the winning model by\n",
    "simulating data sampled from the winning model and see if the simulated data\n",
    "'look like' the actual data.\n",
    "\"\"\"\n",
    "# Specify known values of prior and actual data.\n",
    "prior_a = 100\n",
    "prior_b = 1\n",
    "actual_data_Z = 8\n",
    "actual_data_N = 12\n",
    "# Compute posterior parameter values.\n",
    "post_a = prior_a + actual_data_Z\n",
    "post_b = prior_b + actual_data_N - actual_data_Z\n",
    "# Number of flips in a simulated sample should match the actual sample size:\n",
    "sim_sample_size = actual_data_N\n",
    "# Designate an arbitrarily large number of simulated samples.\n",
    "n_sim_samples = 1000\n",
    "# Set aside a vector in which to store the simulation results.\n",
    "sim_sample_Z_record = np.zeros(n_sim_samples)\n",
    "# Now generate samples from the posterior.\n",
    "for sample_idx in range(0, n_sim_samples):\n",
    "    # Generate a theta value for the new sample from the posterior.\n",
    "    sample_theta = beta.rvs(post_a, post_b)\n",
    "    # Generate a sample, using sample_theta.\n",
    "    sample_data = np.random.choice([0, 1], p=[1-sample_theta, sample_theta],\n",
    "                                  size=sim_sample_size, replace=True)\n",
    "    sim_sample_Z_record[sample_idx] = sum(sample_data)\n",
    "\n",
    "\n",
    "## Make a histogram of the number of heads in the samples.\n",
    "plt.figure(figsize=(16,4))\n",
    "plt.title(\"a histogram of the number of heads in the samples\")\n",
    "plt.hist(sim_sample_Z_record)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "\"\"\"HPD.py\n",
    "This code was taken form the PyMC library https://github.com/pymc-devs/pymc\n",
    "\"\"\"\n",
    "\n",
    "def calc_min_interval(x, alpha):\n",
    "    \"\"\"Internal method to determine the minimum interval of a given width\n",
    "    Assumes that x is sorted numpy array.\n",
    "    \"\"\"\n",
    "\n",
    "    n = len(x)\n",
    "    cred_mass = 1.0-alpha\n",
    "\n",
    "    interval_idx_inc = int(np.floor(cred_mass*n))\n",
    "    n_intervals = n - interval_idx_inc\n",
    "    interval_width = x[interval_idx_inc:] - x[:n_intervals]\n",
    "\n",
    "    if len(interval_width) == 0:\n",
    "        raise ValueError('Too few elements for interval calculation')\n",
    "\n",
    "    min_idx = np.argmin(interval_width)\n",
    "    hdi_min = x[min_idx]\n",
    "    hdi_max = x[min_idx+interval_idx_inc]\n",
    "    return hdi_min, hdi_max\n",
    "\n",
    "\n",
    "def hpd(x, alpha=0.05):\n",
    "    \"\"\"Calculate highest posterior density (HPD) of array for given alpha. \n",
    "    The HPD is the minimum width Bayesian credible interval (BCI).\n",
    "    :Arguments:\n",
    "        x : Numpy array\n",
    "        An array containing MCMC samples\n",
    "        alpha : float\n",
    "        Desired probability of type I error (defaults to 0.05)\n",
    "    \"\"\"\n",
    "\n",
    "    # Make a copy of trace\n",
    "    x = x.copy()\n",
    "    # For multivariate node\n",
    "    if x.ndim > 1:\n",
    "        # Transpose first, then sort\n",
    "        tx = np.transpose(x, list(range(x.ndim))[1:]+[0])\n",
    "        dims = np.shape(tx)\n",
    "        # Container list for intervals\n",
    "        intervals = np.resize(0.0, dims[:-1]+(2,))\n",
    "\n",
    "        for index in make_indices(dims[:-1]):\n",
    "            try:\n",
    "                index = tuple(index)\n",
    "            except TypeError:\n",
    "                pass\n",
    "\n",
    "            # Sort trace\n",
    "            sx = np.sort(tx[index])\n",
    "            # Append to list\n",
    "            intervals[index] = calc_min_interval(sx, alpha)\n",
    "        # Transpose back before returning\n",
    "        return np.array(intervals)\n",
    "    else:\n",
    "        # Sort univariate node\n",
    "        sx = np.sort(x)\n",
    "        return np.array(calc_min_interval(sx, alpha))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
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OXBxjPLBl3AnAQIzxxJa2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X77xwU8acM53HPvwyu0z509k0P+/ensveuWe0+bNu22HoUnqTvMyRqzMk/53CU38M0fL9/1c+bs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\nOt4c2At4K8PPOr4P+C7wrTJPb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qW+OkmVmhQi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\nUtdA4KY4Sf8DfKeQz71frRq1cgyRJUmSJElqh+Ik7QnsAOwKDC5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      "text/plain": [
       "<matplotlib.figure.Figure at 0x114497b50>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 729,
       "width": 968
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "\"\"\"\n",
    "06_BernGrid.py\n",
    "Inferring a binomial proportion via grid aproximation.\n",
    "\"\"\"\n",
    "\n",
    "def bern_grid(theta, p_theta, data, credib=.95):\n",
    "    \"\"\"\n",
    "    Bayesian updating for Bernoulli likelihood and prior specified on a grid.\n",
    "    Input arguments:\n",
    "     theta is a vector of theta values, all between 0 and 1.\n",
    "     p_theta is a vector of corresponding probability _masses_.\n",
    "     data is a vector of 1's and 0's, where 1 corresponds to a and 0 to b.\n",
    "     credib is the probability mass of the credible interval, default is 0.95.\n",
    "    Output:\n",
    "     p_theta_given_data is a vector of posterior probability masses over theta.\n",
    "     Also creates a three-panel graph of prior, likelihood, and posterior\n",
    "     probability masses with credible interval.\n",
    "    Example of use:\n",
    "     Create vector of theta values.\n",
    "     bin_width = 1/1000 \n",
    "     theta_grid = np.arange(0, 1+bin_width, bin_width)\n",
    "     Specify probability mass at each theta value.\n",
    "     > rel_prob = np.minimum(theta_grid, 1-theta_grid) relative prob at each theta\n",
    "     > prior = rel_prob / sum(rel_prob) probability mass at each theta\n",
    "     Specify the data vector.\n",
    "     data_vec = np.repeat([1, 0], [11, 3])  # 3 heads, 1 tail\n",
    "     Call the function.\n",
    "     > posterior = bern_grid( theta=theta_grid , p_theta=prior , data=data_vec )\n",
    "    \"\"\"\n",
    "\n",
    "# Create summary values of data\n",
    "    z = sum(data[data == 1])  # number of 1's in data\n",
    "    N = len(data)  # number of flips in data\n",
    "# Compute the likelihood of the data for each value of theta.\n",
    "    p_data_given_theta = theta**z * (1 - theta)**(N - z)\n",
    "# Compute the evidence and the posterior.\n",
    "    p_data = sum(p_data_given_theta * p_theta)\n",
    "    p_theta_given_data = p_data_given_theta * p_theta / p_data\n",
    "    # Determine the limits of the highest density interval\n",
    "    x = np.random.choice(theta, size=5000, replace=True, p=p_theta_given_data)\n",
    "    intervals = hpd(x, alpha=1-credib)\n",
    "\n",
    "# Plot the results.\n",
    "    plt.figure(figsize=(16, 12)) # Brian edited\n",
    "    plt.subplots_adjust(hspace=0.7)\n",
    "\n",
    "#    # Plot the prior.\n",
    "    locx = 0.05\n",
    "    mean_theta = sum(theta * p_theta)  # mean of prior, for plotting\n",
    "    plt.subplot(3, 1, 1)\n",
    "    plt.plot(theta, p_theta)\n",
    "    plt.xlim(0, 1)\n",
    "    plt.ylim(0, np.max(p_theta)*1.2)\n",
    "    plt.xlabel(r'$\\theta$')\n",
    "    plt.ylabel(r'$P(\\theta)$')\n",
    "    plt.title('Prior')\n",
    "    plt.text(locx, np.max(p_theta)/2, r'mean($\\theta$;%5.2f)' % mean_theta)\n",
    "    # Plot the likelihood:\n",
    "    plt.subplot(3, 1, 2)\n",
    "    plt.plot(theta, p_data_given_theta)\n",
    "    plt.xlim(0, 1)\n",
    "    plt.ylim(0, np.max(p_data_given_theta)*1.2)\n",
    "    plt.xlabel(r'$\\theta$')\n",
    "    plt.ylabel(r'$P(D|\\theta)$')\n",
    "    plt.title('Likelihood')\n",
    "    plt.text(locx, np.max(p_data_given_theta)/2, 'data: z=%s, N=%s' % (z, N))\n",
    "    # Plot the posterior:\n",
    "    mean_theta_given_data = sum(theta * p_theta_given_data)\n",
    "    plt.subplot(3, 1, 3)\n",
    "    plt.plot(theta, p_theta_given_data)\n",
    "    plt.xlim(0, 1)\n",
    "    plt.ylim(0, np.max(p_theta_given_data)*1.2)\n",
    "    plt.xlabel(r'$\\theta$')\n",
    "    plt.ylabel(r'$P(\\theta|D)$')\n",
    "    plt.title('Posterior')\n",
    "    loc = np.linspace(0, np.max(p_theta_given_data), 5)\n",
    "    plt.text(locx, loc[1], r'mean($\\theta$;%5.2f)' % mean_theta_given_data)\n",
    "    plt.text(locx, loc[2], 'P(D) = %g' % p_data)\n",
    "    # Plot the HDI\n",
    "    plt.text(locx, loc[3],\n",
    "             'Intervals =%s' % ', '.join('%.3f' % x for x in intervals))\n",
    "    for i in range(0, len(intervals), 2):\n",
    "        plt.fill_between(theta, 0, p_theta_given_data,\n",
    "                         where=np.logical_and(theta > intervals[i],\n",
    "                                              theta < intervals[i+1]),\n",
    "                         color='blue', alpha=0.3)\n",
    "    plt.show()\n",
    "    return p_theta_given_data\n",
    "\n",
    "\n",
    "###Create vector of theta values.\n",
    "bin_width = 1/1000.\n",
    "theta_grid = np.arange(0, 1+bin_width, bin_width)\n",
    "##Specify probability mass at each theta value.\n",
    "rel_prob = np.array([0.1] * len(theta_grid))  # uniform prior\n",
    "rel_prob = np.array([0.1] * len(theta_grid))  # uniform prior\n",
    "prior = rel_prob / sum(rel_prob)  # probability mass at each theta\n",
    "\n",
    "\n",
    "#### figure 6.2 ###\n",
    "#np.random.seed(123)\n",
    "#a = [0.1] * 50\n",
    "#b = np.linspace(0.1, 1, 50)\n",
    "#c = np.linspace(1, 0.1, 50)\n",
    "#d = [0.1] * 50\n",
    "#p_theta = np.concatenate((a, b, c, d))\n",
    "#prior = np.where(p_theta != 0 , p_theta / sum(p_theta), 0.)\n",
    "#width = 1. / len(p_theta)\n",
    "#theta_grid = np.arange(width/2 , (1-width/2)+width, width)\n",
    "\n",
    "### figure 6.3 ###\n",
    "#np.random.seed(123)\n",
    "#a = np.repeat([0], [50])\n",
    "#b = np.linspace(0, 1, 50)\n",
    "#c = (np.linspace(1, 0, 20))**2\n",
    "#d = np.random.uniform(size=3)\n",
    "#e = np.repeat([1], [20])\n",
    "#p_theta = np.concatenate((a, b, c, d, e))\n",
    "#prior = np.where(p_theta != 0 , p_theta / sum(p_theta), 0.)\n",
    "#width = 1. / len(p_theta)\n",
    "#theta_grid = np.arange(width/2 , (1-width/2)+width, width)\n",
    "\n",
    "###Specify the data vector.\n",
    "data_vec = np.repeat([1, 0], [11, 3])  # 3 heads, 1 tail\n",
    "###Call the function.\n",
    "posterior = bern_grid(theta=theta_grid, p_theta=prior, data=data_vec)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "\"\"\"plot_post.py\"\"\"\n",
    "\n",
    "def plot_post(param_sample_vec, cred_mass=0.95, comp_val=False,\n",
    "              ROPE=False, ylab='', xlab='parameter', fontsize=14, labelsize=14,\n",
    "              title='', framealpha=1, facecolor='skyblue', edgecolor='white',\n",
    "              show_mode=True, bins=50):\n",
    "    \n",
    "    #compute HDI\n",
    "    HDI = hpd(param_sample_vec, 1-cred_mass)\n",
    "\n",
    "    post_summary = {'mean':0,'median':0,'mode':0, 'hdi_mass':0,'hdi_low':0,\n",
    "                   'hdi_high':0, 'comp_val':0, 'pc_gt_comp_val':0, 'ROPE_low':0,\n",
    "                   'ROPE_high':0, 'pc_in_ROPE':0}\n",
    "    post_summary['mean'] = np.mean(param_sample_vec)\n",
    "    post_summary['median'] = np.median(param_sample_vec)\n",
    "    post_summary['mode'] = stats.mode(param_sample_vec)[0]\n",
    "    post_summary['hdi_mass'] = cred_mass\n",
    "    post_summary['hdi_low'] = HDI[0]\n",
    "    post_summary['hdi_high'] = HDI[1]\n",
    "\n",
    "    # Plot histogram.\n",
    "    n, bins, patches = plt.hist(param_sample_vec, normed=True, bins=bins,\n",
    "                                edgecolor=edgecolor, facecolor=facecolor)\n",
    "    plt.xlabel(xlab, fontsize=fontsize)\n",
    "    plt.ylabel(ylab, fontsize=fontsize)\n",
    "    plt.title(title, fontsize=fontsize)\n",
    "\n",
    "    cv_ht = 0.75*np.max(n)\n",
    "    cen_tend_ht = 0.9 * cv_ht\n",
    "    ROPE_text_ht = 0.55 * cv_ht\n",
    "#    # Display mean or mode:\n",
    "    if show_mode:\n",
    "        plt.plot(0, label='mode = %.2f' % post_summary['mode'], alpha=0)\n",
    "    else:\n",
    "        plt.plot(0, label='mean = %.2f' % post_summary['mean'], alpha=0)\n",
    "    # Display the comparison value.\n",
    "\n",
    "    if comp_val is not False:\n",
    "        pc_gt_comp_val = 100 * np.sum(param_sample_vec > comp_val)/len(param_sample_vec)\n",
    "        pc_lt_comp_val = 100 - pc_gt_comp_val\n",
    "        plt.plot([comp_val, comp_val], [0, cv_ht], color='darkgreen',\n",
    "                 linestyle='--', linewidth=2,\n",
    "                 label='%.1f%% <%.1f < %.1f%%'\n",
    "                 % (pc_lt_comp_val, comp_val, pc_gt_comp_val))\n",
    "        post_summary['comp_val'] = comp_val\n",
    "        post_summary['pc_gt_comp_val'] = pc_gt_comp_val\n",
    "#    # Display the ROPE.\n",
    "    if ROPE is not False:\n",
    "        rope_col = 'darkred'\n",
    "        pc_in_ROPE = round(np.sum((param_sample_vec > ROPE[0]) & (param_sample_vec < ROPE[1]))/len(param_sample_vec)*100)\n",
    "        plt.plot([ROPE[0], ROPE[0]], [0, 0.96*ROPE_text_ht], color=rope_col,\n",
    "                linestyle=':', linewidth=4,\n",
    "                label='%.1f%% in ROPE' % pc_in_ROPE)\n",
    "        plt.plot([ROPE[1], ROPE[1]], [0, 0.96*ROPE_text_ht], color=rope_col,\n",
    "                linestyle=':', linewidth=4)\n",
    "        post_summary['ROPE_low'] = ROPE[0] \n",
    "        post_summary['ROPE_high'] = ROPE[1] \n",
    "        post_summary['pc_in_ROPE'] = pc_in_ROPE\n",
    "#    # Display the HDI.\n",
    "    plt.plot(HDI, [0, 0], linewidth=6, color='k', label='HDI %.1f%% %.3f-%.3f' % (cred_mass*100, HDI[0], HDI[1]))\n",
    "    plt.legend(loc='upper left', fontsize=labelsize, framealpha=framealpha)\n",
    "    return post_summary"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "theta_sample [ 0.5         0.5         0.5        ...,  0.80979487  0.80979487\n",
      "  0.80979487]\n"
     ]
    },
    {
     "data": {
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aTLp7+88GPkzrc0AvAz47ei2SJpaU0h7kL0C09Pe2CCa+D+wMXA7cAxwKfCWl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\nOSVJkiR1xhTwDWCSx/fhrX4883mtx68BVrR4/zHSpO3m1l+CJEmSJEl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scyYduT7Gi1u1G8BQAAAOjPQLNWFzghydeWOPfFJCcPeV0AABi7pvh4a3qzQ89MclxzzM8YvbWJ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\nXyTJYx764x+YeWB4dPyrSZ6f1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      "text/plain": [
       "<matplotlib.figure.Figure at 0x113c06850>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 388,
       "width": 951
      }
     },
     "output_type": "display_data"
    },
    {
     "data": {
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92fm9rgbuL9n2MEbznsT72QwnG+G6ByVbocyo3yS5gSJWNVhOttL+dwNYbC8T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\nnTN6nMWZPiFznFOTT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      "text/plain": [
       "<matplotlib.figure.Figure at 0x114175910>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 380,
       "width": 942
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "\"\"\"\n",
    "07_BernBetaPyMCFull.py\n",
    "Inferring a binomial proportion using PyMC.\n",
    "\"\"\"\n",
    "# Generate the data\n",
    "y = np.array([1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0])  # 11 heads and 3 tails\n",
    "\n",
    "\n",
    "with pm.Model() as model:\n",
    "    # define the prior\n",
    "    theta = pm.Beta('theta', 1, 1)  # prior\n",
    "    # define the likelihood\n",
    "    y = pm.Bernoulli('y', p=theta, observed=y)\n",
    "\n",
    "    # Generate a MCMC chain\n",
    "    trace = pm.sample(5000, pm.Metropolis(),\n",
    "                      progressbar=False)  # Use Metropolis sampling\n",
    "#    start = pm.find_MAP()  # Find starting value by optimization\n",
    "#    step = pm.NUTS()  # Instantiate NUTS sampler\n",
    "#    trace = pm.sample(5000, step, start=start, progressbar=False)\n",
    "\n",
    "# create an array with the posterior sample\n",
    "theta_sample = trace['theta']\n",
    "\n",
    "print \"theta_sample\", theta_sample\n",
    "plt.figure(figsize=(16,6)) # Brian added\n",
    "\n",
    "plt.subplot(1, 2, 1)\n",
    "plt.plot(theta_sample[:500], np.arange(500), marker='o')\n",
    "plt.xlim(0, 1)\n",
    "plt.xlabel(r'$\\theta$')\n",
    "plt.ylabel('Position in Chain')\n",
    "\n",
    "plt.subplot(1, 2, 2)\n",
    "mcmc_info = plot_post(theta_sample, xlab=r'$\\theta', show_mode=False)\n",
    "\n",
    "# Posterior prediction:\n",
    "# For each step in the chain, use posterior theta to flip a coin:\n",
    "y_pred = np.zeros(len(theta_sample))\n",
    "for i, p_head in enumerate(theta_sample):\n",
    "    y_pred[i] = np.random.choice([0, 1], p=[1 - p_head, p_head])\n",
    "\n",
    "# Jitter the 0,1 y values for plotting purposes:\n",
    "y_pred_jittered = y_pred + np.random.uniform(-.05, .05, size=len(theta_sample))\n",
    "\n",
    "# Now plot the jittered values:\n",
    "plt.figure(figsize=(16,6)) # Brian added\n",
    "\n",
    "plt.plot(theta_sample[:500], y_pred_jittered[:500], 'ro')\n",
    "plt.xlim(-.1, 1.1)\n",
    "plt.ylim(-.1, 1.1)\n",
    "plt.xlabel(r'$\\theta$')\n",
    "plt.ylabel('y (jittered)')\n",
    "\n",
    "mean_y = np.mean(y_pred)\n",
    "mean_theta = np.mean(theta_sample)\n",
    "\n",
    "plt.plot(mean_y, mean_theta, 'k+', markersize=15)\n",
    "plt.annotate('mean(y) = %.2f\\nmean($\\\\theta$) = %.2f' %\n",
    "    (mean_y, mean_theta), xy=(mean_y, mean_theta))\n",
    "plt.plot([0, 1], [0, 1], linestyle='--')\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
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BH+322EYjInYGvsjYZ1XOp4SU8+onMvNyYL1B7n0zsA5wXGZ+venygZRAbDdgc+CapuvP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\ntVptlVVWWbPbY3bccccP1Wq12pgxY8YMZl+nx4UXXjitVqstXKvVanv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      "text/plain": [
       "<matplotlib.figure.Figure at 0x113ccd110>"
      ]
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     "metadata": {
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   ],
   "source": [
    "\"\"\"\n",
    "07_BernMetropolisTemplate.py\n",
    "Use this program as a template for experimenting with the Metropolis algorithm\n",
    "applied to a single parameter called theta, defined on the interval [0,1].\n",
    "\"\"\"\n",
    "\n",
    "# Specify the data, to be used in the likelihood function.\n",
    "# This is a vector with one component per flip,\n",
    "# in which 1 means a \"head\" and 0 means a \"tail\".\n",
    "my_data = np.repeat([1, 0], [11, 3])  # 11 heads, 2 tail\n",
    "\n",
    "# Define the Bernoulli likelihood function, p(D|theta).\n",
    "# The argument theta could be a vector, not just a scalar.\n",
    "def likelihood(theta, data):\n",
    "    theta = np.array(theta) # ensure you have an array\n",
    "    z = sum(data[data == 1])  # number of 1's in Data\n",
    "    N = len(data)  # number of flips in Data\n",
    "# Compute the likelihood of the Data for each value of Theta.\n",
    "    if np.size(theta) == 1:  # if theta is an scalar\n",
    "        p_data_given_theta = 0\n",
    "        if theta < 1 and theta > 0:\n",
    "            p_data_given_theta = theta**z * (1-theta)**(N-z)\n",
    "    else: # if theta is an array\n",
    "        p_data_given_theta = theta**z * (1-theta)**(N-z)\n",
    "        # The theta values passed into this function are generated at random,\n",
    "        # and therefore might be inadvertently greater than 1 or less than 0.\n",
    "        # The likelihood for theta > 1 or for theta < 0 is zero:\n",
    "        p_data_given_theta[(theta > 1) | (theta < 0)] = 0\n",
    "    return p_data_given_theta\n",
    "\n",
    "\n",
    "# Define the prior density function. For purposes of computing p(D),\n",
    "# at the end of this program, we want this prior to be a proper density.\n",
    "# The argument theta could be a vector, not just a scalar.\n",
    "def prior(theta):\n",
    "    theta = np.array(theta) # ensure you have an array\n",
    "# For kicks, here's a bimodal prior. To try it, uncomment the next 2 lines.\n",
    "    #from scipy.stats import beta\n",
    "    #prior = dbeta(np.minium(2*theta, 2*(1-theta)), 2, 2)\n",
    "    if np.size(theta) == 1:  # if theta is an scalar\n",
    "        prior = 0\n",
    "        if theta < 1 and theta > 0:\n",
    "            prior = 1\n",
    "    else: # if theta is an array\n",
    "        prior = np.ones(len(theta))  # uniform density over [0,1]\n",
    "        # The theta values passed into this function are generated at random,\n",
    "        # and therefore might be inadvertently greater than 1 or less than 0.\n",
    "        # The likelihood for theta > 1 or for theta < 0 is zero:\n",
    "        prior[(theta > 1) | (theta < 0)] = 0\n",
    "    return prior\n",
    "\n",
    "\n",
    "\n",
    "# Define the relative probability of the target distribution, \n",
    "# as a function of vector theta. For our application, this\n",
    "# target distribution is the unnormalized posterior distribution.\n",
    "def target_rel_prob(theta, data):\n",
    "    target_rel_prob = likelihood(theta , data) * prior(theta)\n",
    "    return target_rel_prob\n",
    "\n",
    "# Specify the length of the trajectory, i.e., the number of jumps to try:\n",
    "traj_length = 5000 # arbitrary large number\n",
    "# Initialize the vector that will store the results:\n",
    "trajectory = np.zeros(traj_length)\n",
    "# Specify where to start the trajectory:\n",
    "trajectory[0] = 0.50 # arbitrary value\n",
    "# Specify the burn-in period:\n",
    "burn_in = np.ceil(0.1 * traj_length) # arbitrary number, less than traj_length\n",
    "# Initialize accepted, rejected counters, just to monitor performance:\n",
    "n_accepted = 0\n",
    "n_rejected = 0\n",
    "# Specify seed to reproduce same random walk:\n",
    "np.random.seed(4745)\n",
    "\n",
    "# Now generate the random walk. The 't' index is time or trial in the walk.\n",
    "for t in range(traj_length-1):\n",
    "    current_position = trajectory[t]\n",
    "    # Use the proposal distribution to generate a proposed jump.\n",
    "    # The shape and variance of the proposal distribution can be changed\n",
    "    # to whatever you think is appropriate for the target distribution.\n",
    "    proposed_jump = np.random.normal(loc=0 , scale=0.1, size=1)\n",
    "    \n",
    "#    # Compute the probability of accepting the proposed jump.\n",
    "    prob_accept = np.minimum(1, \n",
    "                            target_rel_prob(current_position + proposed_jump, my_data)\n",
    "                            / target_rel_prob(current_position, my_data))\n",
    "#    # Generate a random uniform value from the interval [0,1] to\n",
    "#    # decide whether or not to accept the proposed jump.\n",
    "    if np.random.rand() < prob_accept:\n",
    "        # accept the proposed jump\n",
    "        trajectory[t+1] = current_position + proposed_jump\n",
    "        # increment the accepted counter, just to monitor performance\n",
    "        if t > burn_in:\n",
    "            n_accepted += 1\n",
    "    else:\n",
    "        # reject the proposed jump, stay at current position\n",
    "        trajectory[t+1] = current_position\n",
    "        # increment the rejected counter, just to monitor performance\n",
    "        if t > burn_in:\n",
    "            n_rejected += 1\n",
    "\n",
    "\n",
    "# Extract the post-burn_in portion of the trajectory.\n",
    "accepted_traj = trajectory[burn_in:]\n",
    "# End of Metropolis algorithm.\n",
    "\n",
    "\n",
    "\n",
    "# Display rejected/accepted ratio in the plot.\n",
    "mean_traj = np.mean(accepted_traj)\n",
    "std_traj = np.std(accepted_traj)\n",
    "\n",
    "plt.figure(figsize=(16,6)) # Brian added\n",
    "\n",
    "plt.plot(0, label=r'$N_{pro}=%s$ $\\frac{N_{acc}}{N_{pro}} = %.3f$' % (len(accepted_traj), (n_accepted/len(accepted_traj))), alpha=0)\n",
    "\n",
    "# Evidence for model, p(D).\n",
    "\n",
    "# Compute a,b parameters for beta distribution that has the same mean\n",
    "# and stdev as the sample from the posterior. This is a useful choice\n",
    "# when the likelihood function is Bernoulli.\n",
    "a = mean_traj * ((mean_traj*(1 - mean_traj)/std_traj**2) - 1)\n",
    "b = (1 - mean_traj) * ((mean_traj*(1 - mean_traj)/std_traj**2) - 1)\n",
    "\n",
    "# For every theta value in the posterior sample, compute \n",
    "# dbeta(theta,a,b) / likelihood(theta)*prior(theta)\n",
    "# This computation assumes that likelihood and prior are proper densities,\n",
    "# i.e., not just relative probabilities. This computation also assumes that\n",
    "# the likelihood and prior functions were defined to accept a vector argument,\n",
    "# not just a single-component scalar argument.\n",
    "wtd_evid = beta.pdf(accepted_traj, a, b) / (likelihood(accepted_traj, my_data) * prior(accepted_traj))\n",
    "p_data = 1 / np.mean(wtd_evid)\n",
    "\n",
    "\n",
    "# Display p(D) in the graph\n",
    "plt.plot(0, label='p(D) = %.3e' % p_data, alpha=0)\n",
    "\n",
    "# Display the posterior.\n",
    "ROPE = np.array([0.76, 0.8])\n",
    "mcmc_info = plot_post(accepted_traj, xlab='theta', show_mode=False, comp_val=0.9, ROPE=ROPE)\n",
    "\n",
    "\n",
    "# Uncomment next line if you want to save the graph.\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 33,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "\"\"\"\n",
    "HDI_of_grid.py\n",
    "Arguments:\n",
    "probMassVec is a vector of probability masses at each grid point.\n",
    "credMass is the desired mass of the HDI region.\n",
    "Return a dictionary with:\n",
    "indices is a vector of indices that are in the HDI\n",
    "mass is the total mass of the included indices\n",
    "height is the smallest component probability mass in the HDI\n",
    "\"\"\"\n",
    "\n",
    "def HDI_of_grid(probMassVec, credMass=0.95):\n",
    "    sortedProbMass = np.sort(probMassVec, axis=None)[::-1]\n",
    "    HDIheightIdx = np.min(np.where(np.cumsum(sortedProbMass) >= credMass))\n",
    "    HDIheight = sortedProbMass[HDIheightIdx]\n",
    "    HDImass = np.sum(probMassVec[probMassVec >= HDIheight])\n",
    "    idx = np.where(probMassVec >= HDIheight)\n",
    "    return {'indices':idx, 'mass':HDImass, 'height':HDIheight}"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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FU2L1Fky51fISNxVhMlXvA+61o7FOFwDouJPVMLDzCQWxRGQBz/OKmBOwN2Cy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