hw6.ipynb

{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    " # Homework 6\n",
    " ### By Franklin Marsh\n",
    " ### MATH0154 Computational Statistics\n",
    " ### with Prof. Gabe Chandler\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    " ## Problem 1"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Consider generating data from a some density $f(x)$ (pick something nice so that you can use both the 'rdist' and 'ddist' functions in R to get your random sample and compute the truth, respectively, easily).  Based on a random sample of size $n$, we would like to estimate this function.  We will use a kernel smoother, which you will write.  Use a truncated normal distribution as your kernel function.\\\\[5pt]\n",
    "\n",
    "We need to specify the bandwidth for our kernel smoother.  Consider 3 ideas from class for estimating this quantity:"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "First, we will define our kernel. We will use a package to create truncated normal distributions."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 178,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "#install.packages('truncnorm', repos=\"http://cran.rstudio.com/\")\n",
    "library(truncnorm)\n",
    "\n",
    "kernel <- function(x, mu, bw) {\n",
    "    #\n",
    "    # function that returns a kernel given a value, mean, and bandwidth\n",
    "    # \n",
    "    # Args:\n",
    "    #    x: value at which to evaluate the truncated normal pdf\n",
    "    #    mu: mean of the truncated normal pdf\n",
    "    #    bw: standard deviation of the truncated normal pdf\n",
    "    # Returns:\n",
    "    #    y: the truncated normal evaluated at x\n",
    "    \n",
    "    #truncated normal distribution kernel\n",
    "    return(dtruncnorm(x, a = c(-2), b = c(2), mean = mu, sd = bw))\n",
    "}"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Here is a plot of a truncated normal distribution!"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 141,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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QIECBAg0DmBHMnZq/LJlbkV97wiy8oy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\njMrAAAAAAElFTkSuQmCC",
      "text/plain": [
       "plot without title"
      ]
     },
     "metadata": {
      "image/svg+xml": {
       "isolated": true
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot(seq(-4, 4, 0.05),kernel(seq(-4, 4, 0.05), 0, 1), type = 'l')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "In this next cell, we construct the KDE by summing all of the little kernels!"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 179,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "KDensity <- function(x_vals, obs, bw) {\n",
    "    #\n",
    "    # function performs a kernel density estimate given values to evaluate, observations, and a bandwidth\n",
    "    # \n",
    "    # Args:\n",
    "    #    x_vals: value at which to evaluate the kernel density estimate\n",
    "    #    obs: a vector of the observations\n",
    "    #    bw: bandwidth of the kernel that is being used\n",
    "    # Returns:\n",
    "    #    y: the kernel density evaluated at x\n",
    "    \n",
    "    kernels <- c()\n",
    "    y_vals <- c()\n",
    "    \n",
    "    i <- 1 # set observation counter to zero\n",
    "    j <- 1 #set abcissa counter to zero\n",
    "    \n",
    "    for (x in x_vals) {\n",
    "         \n",
    "        for (ob in obs) {\n",
    "            kernels[i] <- dtruncnorm(x, a = c(-4), b = c(4), mean = ob, sd = bw)\n",
    "            i <- i + 1\n",
    "        }\n",
    "        \n",
    "        y_vals[j] <- sum(kernels)\n",
    "        \n",
    "        j <- j + 1\n",
    "        i <- 1\n",
    "    }\n",
    "    return(y_vals/length(obs))\n",
    "}"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 180,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "my_obs <- rnorm(100) #draw 100 random normals\n",
    "my_abcissa <- seq(-4,4,0.01) #create an abcissa to plot on"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "In the next cell, I plot the KDE for a variety of bandwidths. The true PDF is plotted in as dashed red line. In the next parts, we will create an intelligent way to best estimate this bandwidth."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 181,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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Dz5WVu+J6U5EU3Q+lFSi1Rv21Qb9L60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NbF8bnoaRsCZ0poWD1Jlqx3uFAt1XgXn4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\nt9MmeXp8fuKbVaTPdJJOrfXwHdcxUmYAV5vXs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qHrRvoo/K0om5j3Kwc9LWTyMvk3s3I5OzUKn32XckWUwwKd0ALhIHXCD3VMP1I4SGP6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",
      "text/plain": [
       "plot without title"
      ]
     },
     "metadata": {
      "image/svg+xml": {
       "isolated": true
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot(my_abcissa,KDensity(my_abcissa, my_obs, 0.1), type = 'l')\n",
    "\n",
    "for (bandwidth in seq(0.1, 1.0, 0.1)) {\n",
    "    lines(my_abcissa,KDensity(my_abcissa, my_obs, bandwidth), type = 'l')\n",
    "}\n",
    "\n",
    "#create a plot of all the kde's superposed\n",
    "lines(my_abcissa, dnorm(my_abcissa), col = 'red', lwd = 2, lty = 3)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "a) leave one out cross validation where we try to maximize the likelihood (so we look at $\\prod \\hat{f}_h^{-i}(x_i)$)\\\\\n",
    "\n",
    "b) the same as a, but instead of a product, use the sum. \n",
    "\n",
    "In the next cell, I have written the cross-validation code."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 190,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "CV <- function(my_obs, bandwidth, kind = 'sum') {\n",
    "    #\n",
    "    # function that performs leave-one-out cross validaton for kernel-density bandwidth\n",
    "    # \n",
    "    # Args:\n",
    "    #    my_obs: observations on which to perform KDE\n",
    "    #    bw: bandwidths of the kernels that are being used, should be a seq()\n",
    "    #    kind: cost function to use. 'sum' for additive, 'prod' for multiplicative\n",
    "    # Returns:\n",
    "    #    out: the CV sum or product evaluated at each bandwidth\n",
    "    \n",
    "    sum_terms <- c()\n",
    "    \n",
    "    output <- c()\n",
    "    j <- 1 \n",
    "    \n",
    "    if (kind == 'sum') {\n",
    "    \n",
    "        for (bw in bandwidth) {\n",
    "    \n",
    "            for (i in (1:length(my_obs))) {\n",
    "                sum_terms[i] <- KDensity(my_obs[i], my_obs[-i], bw)\n",
    "    \n",
    "            }\n",
    "    \n",
    "            output[j] <- sum(sum_terms)\n",
    "            j <- j + 1\n",
    "        \n",
    "        }\n",
    "        \n",
    "    }\n",
    "    \n",
    "    else if (kind == 'prod') {\n",
    "    \n",
    "        for (bw in bandwidth) {\n",
    "    \n",
    "            for (i in (1:length(my_obs))) {\n",
    "                sum_terms[i] <- KDensity(my_obs[i], my_obs[-i], bw)\n",
    "    \n",
    "            }\n",
    "    \n",
    "            output[j] <- prod(sum_terms)\n",
    "            j <- j + 1\n",
    "        \n",
    "        }\n",
    "        \n",
    "    }\n",
    "    \n",
    "    else {\n",
    "        stop(\"Invalid Type\")\n",
    "    }\n",
    "    \n",
    "    return(list(bandwidth,output/max(output)))\n",
    "}\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "c) Training the data on a random half of the data, testing it on the other half (via a or b) and then scaling down your bandwidth, based on the theoretical optimal bandwidth rate (the bandwidth should be of the order $n^{-1/5}$)\\\\\n",
    "Compare all of these to the optimal bandwidth, defined here to be the bandwidth for which the estimate $f_h(x)$ minimizes $\\int |\\hat{f}_h(x)-f(x)|dx.$ (Once you have written a code to do kernel density estimation, feel free to use the {\\it density} function in R to run the simulations to speed up your code.) "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 182,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "TrainTestSplit <- function(obs, test_size) {\n",
    "    #\n",
    "    # function splits observations into a trainign set and a testing set\n",
    "    # \n",
    "    # Args:\n",
    "    #    obs: observations on which to perform KDE\n",
    "    #    test_size: fraction of the observations that will be sorted into the testing set\n",
    "    # Returns:\n",
    "    #    out: a list where the first entry is the training set, and the second is the testing set\n",
    "    \n",
    "    split_frac <- as.integer(1.0/test_size)\n",
    "    \n",
    "    test_i <- sample((1:length(obs)),length(obs)/split_frac)\n",
    "    train_i <- (1:length(obs))[-test_i]\n",
    "\n",
    "    if ((sum(test_i) + sum(train_i)) == sum(1:length(obs))) {\n",
    "        train <- obs[train_i]\n",
    "        test <- obs[test_i]\n",
    "    }\n",
    "\n",
    "    else {\n",
    "        stop(\"Error, sum of split parts did not equal some of the whole\")\n",
    "    }\n",
    "    \n",
    "    return(list(train,test))\n",
    "}"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 183,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "my_split <- TrainTestSplit(my_obs, 0.5) #split the training and testing data"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 184,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "SplitCV <- function(train, test, bandwidth, kind = 'sum') {\n",
    "    #\n",
    "    # function splits observations into a trainign set and a testing set\n",
    "    # \n",
    "    # Args:\n",
    "    #    train: vector of training set\n",
    "    #    test: vector of testing set\n",
    "    #    bandwidth: the sequence of bandwidths to test\n",
    "    #    kind: cost function to use. 'sum' for additive, 'prod' for multiplicative\n",
    "    # Returns:\n",
    "    #    out: the CV sum or product evaluated at each bandwidth\n",
    "        \n",
    "    output <- c()\n",
    "    j <- 1 \n",
    "    \n",
    "    if (kind == 'sum') {\n",
    "    \n",
    "        for (bw in bandwidth) {\n",
    "        \n",
    "            output[j] <- sum(abs(KDensity(test, train, bw)))\n",
    "        \n",
    "            j <- j + 1\n",
    "        \n",
    "    }\n",
    "            \n",
    "    }\n",
    "    \n",
    "    else if (kind == 'prod') {\n",
    "    \n",
    "        for (bw in bandwidth) {\n",
    "        \n",
    "            output[j] <- prod(abs(KDensity(test, train, bw)))\n",
    "        \n",
    "            j <- j + 1\n",
    "        \n",
    "    }\n",
    "    \n",
    "    }\n",
    "    \n",
    "    #modify the bandwidth according to the scaling relationship\n",
    "    mod_bandwidth <- ((length(train) + length(test))/length(train))^(-1.0/5.0)*bandwidth\n",
    "    \n",
    "    return(list(mod_bandwidth,output/max(output)))\n",
    "    \n",
    "}"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 191,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "bw_range <- seq(0.01,1.0,0.01) #the range of bandwidths that we will test\n",
    "sum_split_cv <- SplitCV(my_split[[1]], my_split[[2]], bw_range, kind = 'sum') \n",
    "prod_split_cv <- SplitCV(my_split[[1]], my_split[[2]], bw_range, kind = 'prod')\n",
    "sum_cv <- CV(my_obs, bw_range, kind = 'sum')\n",
    "prod_cv <- CV(my_obs, bw_range, kind = 'prod')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "To find the \"Correct\" KDE bandwidth, we will estimate the $f_h(x)$ minimizes $\\int |\\hat{f}_h(x)-f(x)|dx.$. $f(x)$ here is just the standard normal pdf."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 192,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "TrueBandwidth <- function(x_range, bandwidth, obs, truth) {\n",
    "    #\n",
    "    # function to find the correct bandwidth using the true pdf\n",
    "    #\n",
    "    # Args:\n",
    "    #    x_range: vector of discreet x-values to evaluate both the KDE and the pdf at\n",
    "    #    bandwidth: the range of bandwidths for which to perform this test\n",
    "    #    obs: the observations used to construct the KDE\n",
    "    #    truth: the true pdf that the observations are drawn from\n",
    "    # Returns:\n",
    "    #    output: a dataframe of bandwidth, and the difference that we seek to minimize\n",
    "    \n",
    "    output <- c()\n",
    "    j <- 1\n",
    "\n",
    "    for (bw in bandwidth) {\n",
    "        \n",
    "        output[j] <- sum(abs(KDensity(x_range, obs, bw) - truth(x_range)))\n",
    "        \n",
    "        j <- j + 1\n",
    "        \n",
    "    }\n",
    "    \n",
    "    output <- output/max(output)\n",
    "    \n",
    "    return(data.frame(bandwidth, output))\n",
    "            \n",
    "    }\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 187,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "true_bandwidth <- TrueBandwidth(my_abcissa, bw_range, my_obs, dnorm) #calculate a true bandwidth"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 189,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[1] 0.4\n"
     ]
    }
   ],
   "source": [
    "true_bw <- head(true_bandwidth[order(true_bandwidth$output),],1)$bandwidth\n",
    "print(true_bw)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 193,
   "metadata": {
    "collapsed": false,
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
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M8CXT8Hqa4Ot9MaJviz+czn1vC5pn9E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CdJCyIkyXFqCDVJqQDSBQaYFlVPuNk6yn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\n/ryJO9M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AABBBBAAAEEEEAAAQQQQAAB\nBBBAAAEEEEAAAQQQQAABBBBAAAEEEEAAAQQQQAABBBBAAAEEEEAAAQQQQAABBBBAAAEEEEAA\nAQQQQAABBBBAAAEEEEAAAQQQQAABBBBAAAEEEEAAAQQQQAABBBBAAAEEEEAAAQQQQAABBBBA\nAAEEEEAAAQQQQAABBBBAAAEEEEAAAQQQQAABBBBAAAEEEEAAAQQQQAABBBBAAAEEEEAAAQQQ\nQAABBBBAAAEEEEAAAQQQQAABBBBAAAEEEEAAAQQQQAABBBBAAAEEEEAAAQQQQAABBBBAAAEE\nEEAAAQQQQAABBBBAAAEEEEAAAQQQQAABBBBAAAEEEEAAAQQQQAABBBBAAAEEEEAAAQQQQAAB\nBBBAAAEEEEAAAQQQQAABBBBAAAEEEEAAAQQQQAABBBBAAAEEEEAAAQQQQAABBBBAAAEEEEAA\nAQQQQAABBBBAAAEEEEAAAQQQQAABBBBAAAEEEEAAAQQQQAABBBBAAAEEEEAAAQQQQAABBBBA\nAAEEEEAAAQQQQAABBBBAAIEqCvwf66YMhUCRGjsAAAAASUVORK5CYII=",
      "text/plain": [
       "plot without title"
      ]
     },
     "metadata": {
      "image/svg+xml": {
       "isolated": true
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot(true_bandwidth$bandwidth,true_bandwidth$output, type ='l') "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "In the next cell, we will plot the support for each value of bandwidth as a function of bandwith, for all of the estimators that we have proposed."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 196,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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NrqMK5xEFJrjZtdcJx3D7jd3V8VBKPMH4CF6bnwWN9xpaV1B2pAm8b9cQ2e+2jM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\nquXGILeFtg8cARKkgWPIEohAKBBAph8kaNDg7IKnIXY+ghM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GO2hUXlKPIm36frWmPbS07TRr7H9TaZn73PS304LXHsPPzUWABKm5+LN2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\nk4e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      "text/plain": [
       "plot without title"
      ]
     },
     "metadata": {
      "image/svg+xml": {
       "isolated": true
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "#initialize the plot and use the sum estimator from part c\n",
    "plot(sum_split_cv[[1]], sum_split_cv[[2]], type = 'l', col = 'red',\n",
    "    xlab = 'Bandwidth', ylab = 'Relative Likelihood')\n",
    "\n",
    "#use the product estimator from part c\n",
    "lines(prod_split_cv[[1]], prod_split_cv[[2]], type = 'l', col = 'green')\n",
    "\n",
    "#plot the unscaled recommendation from part c\n",
    "lines(bw_range, sum_split_cv[[2]], type = 'l', col = 'red', lty = 2)\n",
    "lines(bw_range, prod_split_cv[[2]], type = 'l', col = 'green', lty = 2)\n",
    "\n",
    "#plot the bandwidth recommendations for parts a and b\n",
    "lines(sum_cv[[1]], sum_cv[[2]], type = 'l', col = 'orange')\n",
    "lines(prod_cv[[1]], prod_cv[[2]], type = 'l', col = 'blue')\n",
    "\n",
    "abline(v = as.numeric(density(my_obs)$bw), col = 'black') #the estimate that R uses\n",
    "abline(v = true_bw, col = 'purple')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "1. The black vertical line is the estimate as returned by R's density function. \n",
    "\n",
    "2. The purple vertical line is the \"true\" density, computed using the normal pdf.\n",
    "\n",
    "3. The blue curve is the leave-one-out cross-validated product-cost curve.\n",
    "4. The orange curve is the leave-one-out cross-validated sum-cost curve.\n",
    "\n",
    "For the next two cases, the dotted line shows the initial bandwidth (estimated using half of the observations) while the solid line shows the transformed ($h \\propto n^{-\\frac{1}{5}}$)\n",
    "\n",
    "5. The green curves are the split cross-validated product-cost curves.\n",
    "6. The red curves are the split corss-validated sum-cost curves."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We can see some general characteristics of the estimators:\n",
    "\n",
    "1. R's density function is probably using leave-one-out cross-validation and a product-cost function.\n",
    "\n",
    "2. The sum cost functions produce smaller estimations of the bandwidth in all cases.\n",
    "\n",
    "3. The True bandwidth is larger than all of the estimates."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    " ## Problem 2"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Consider seeing data from a density defined as follows:\n",
    "\\begin{eqnarray}\n",
    "f(x)=\\left\\{ \\nonumber\n",
    "\\begin{array}{ll}\n",
    "0.05  & \\mbox{for }|x|\\leq0.13\\\\\n",
    "0.987[\\phi(x)+\\phi(|x|-0.13)] & \\mbox{for }0.13<|x|<0.26\\\\\n",
    "0.987\\phi(x) & \\mbox{for }|x|\\geq 0.26,\\\\\n",
    "\\end{array}\\right.\n",
    "\\end{eqnarray}\n",
    "\n",
    "where $\\phi(x)$ is the standard normal pdf.\n",
    "\n",
    "a. Use acceptance sampling to generate from this density.\n",
    "\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "g <- function(x) {\n",
    "    #\n",
    "    # produce pdf of candidate normal distribution\n",
    "    #\n",
    "    # Args:\n",
    "    #    x: evaluate normal at this value\n",
    "    # Returns:\n",
    "    #    y: value of the pdf at x\n",
    "    \n",
    "    return(dnorm(x))\n",
    "}\n",
    "\n",
    "f <- function(x) {\n",
    "    #\n",
    "    # produce pdf of target \"hole-y\" distribution\n",
    "    #\n",
    "    # Args:\n",
    "    #    x: evaluate target pdf at this value\n",
    "    # Returns:\n",
    "    #    y: value of the target pdf at x\n",
    "    \n",
    "    output <- c()\n",
    "    j <- 0\n",
    "    \n",
    "    for (i in x) {\n",
    "        j <- j + 1\n",
    "        \n",
    "        if (abs(i) < 0.13) {\n",
    "            output[j] <- 0.05\n",
    "        }\n",
    "    \n",
    "        else if (abs(i) < 0.26) {\n",
    "            output[j] <- (0.987*(dnorm(i) + dnorm(abs(i) - 0.13)))\n",
    "        }\n",
    "    \n",
    "        else {\n",
    "            output[j] <- (0.987*(dnorm(i)))\n",
    "        }\n",
    "        \n",
    "    }\n",
    "    \n",
    "    return(output)\n",
    "    \n",
    "}"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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GDeAgZI8+5/2RMgQGBfAusMkHqaQXKK3b62LPUSIEBgQwEDpA0BvZwAAQIE1hJY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BfC/SjSuyL71pxVsrFAIE9iRgBmlP8Kol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\nwMcCPib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umxK1q0LMxmsYA7kD6Dl/7s1uIxuIUAAggggAACCCCAAAItF/DlXcNa\nPldm6M+I+WwYhQACCCCAAAIIIIAAAggggAACCCCAAAIIIIAAAggggAACCCCAAAIIIIAAAggg\ngAACCCCAAAIIIIAAAggggAACCCCAAAIIIIAAAggggAACCCCAAAIIIIAAAggggAACCCCAAAII\nIIAAAggggAACCCCAAAIIIIAAAggggAACCCCAAAIIIIAAAggggAACCCCAAAIIIIAAAggggAAC\nCCCAAAIIIIAAAggggAACCCCAAAIIIIAAAggggAACCCCAAAIIIIAAAggggAACCCCAAAIIIIAA\nAggggAACCCCAAAIIIIAAAggggAACCCCAAAIIIIAAAggggAACCCCAAAIIIIAAAggggAACCCCA\nAAIIIIAAAggggAACCCCAAAIIIIAAAggggAACCCCAAAIIIIAAAggggAACCCCAAAIIIIAAAggg\ngAACCCCAAAIIIIAAAggggAACCCCAAAIIIIAAAggggAACCCCAAAIIIIAAAggggAACCCCAAAII\nIIAAAggggAACCCCAAAIIIIAAAggggAACCCCAAAIIIIAAAggggAACCCCAAAIIIIAAAggggAAC\nCCCAAALBCvw/eMjkenDYvbcAAAAASUVORK5CYII=",
      "text/plain": [
       "plot without title"
      ]
     },
     "metadata": {
      "image/svg+xml": {
       "isolated": true
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot(seq(-3,3, 0.05),f(seq(-3,3, 0.05)), type = 'l')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "MaskingDraw <- function(maskdraw, maskpdf, goalpdf, c, n_iters) {\n",
    "    \n",
    "    # Draw from pdf (goalpdf) using the masking technique\n",
    "    # \n",
    "    # Args:\n",
    "    #     maskdraw: a function that draws from the masking dist.\n",
    "    #     maskpdf: a function that returns the pdf of the masking dist when given an x.\n",
    "    #     goalpdf: the pdf of the function that we are trying draw from\n",
    "    #     c: the c normalizing constant for maskpdf and goalpdf\n",
    "    #     n_iters: number of points that we want to draw\n",
    "    #\n",
    "    # Returns:\n",
    "    #     out: randoom numbers like they were drawn from goalpdf\n",
    "    \n",
    "    out <- c(NaN) #initialize empty output\n",
    "    i <- 0\n",
    "    \n",
    "    while (length(out[!is.na(out)]) < n_iters) {\n",
    "        \n",
    "        i <- i + 1\n",
    "        \n",
    "        pull <- maskdraw(1) #the initial value we are pulling from the masking distribution\n",
    "        crit <- (goalpdf(pull))/(c*maskpdf(pull))\n",
    "                \n",
    "        U <- runif(1)\n",
    "        \n",
    "        if (U <= crit) {\n",
    "            out[i] <- pull\n",
    "            }\n",
    "    }\n",
    "    return(out[!is.na(out)])\n",
    "    }\n",
    "\n",
    "FindC <- function(maskpdf, targetpdf, prange = seq(-3,3,0.01), by = 0.01) {\n",
    "    \n",
    "    # Finds the normalizing coefficient c for drawing using the masking technique\n",
    "    #\n",
    "    # Args:\n",
    "    #     maskpdf:\n",
    "    #     targetpdf:\n",
    "    #     param1:\n",
    "    #     prange:\n",
    "    #     by:\n",
    "    # Returns:\n",
    "    #     c: normalizing coefficient\n",
    "    \n",
    "    grid <- seq(min(prange),max(prange), by)\n",
    "    \n",
    "    c <- max((targetpdf(grid))/(maskpdf(grid)))\n",
    "    \n",
    "    return(c)\n",
    "}"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "c <- FindC(g, f) #find the acceptance-rejection sampling constant"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "#draw the sample of 500 points\n",
    "sample <- MaskingDraw(rnorm, g, f, c, 500)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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qmms268UJ85qt99tFR7ZzbcKqkrTVVUaQQIECBAgAABAgQIDFCg77f57jqlVURp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\nQIDArivw/5EaAhwDvwZtAAAAAElFTkSuQmCC",
      "text/plain": [
       "Plot with title “Histogram of sample”"
      ]
     },
     "metadata": {
      "image/svg+xml": {
       "isolated": true
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "hist(sample, breaks = 50, xlim = c(-3,3))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "b. See if density estimation using optimal bandwidths (you can just use the default in the R density function to do this) can detect the hole in the middle, with $n=500$."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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AEEEEAAAQQQQAABBBBAAAEEEECgagKjqtbhiPu7oXIbE3F+pIYAAggggAACCCAQ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\nrSznBh6nbv25nF2rfa920RaGVzTUfmNLtoErqT+LFA9SKcULT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      "text/plain": [
       "Plot with title “density.default(x = sample)”"
      ]
     },
     "metadata": {
      "image/svg+xml": {
       "isolated": true
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot(density(sample))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The estimate above does capture a small decrease in the density near $x = 0$, however, the true extent of the bi-modality is not well captured. In the next cell, we will derive a statistic that can measure if the distribution is normal."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "c. Suggest some quantity that is better than density estimation at detecting the bi-modality of this density based on a random sample and present some simulations to show this. \n",
    "\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "I suggest the statistic of the number of observations within a distance $c$ from the center, divided by the total number of observations:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 64,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "NormStat <- function(obs, center_range) {\n",
    "    #\n",
    "    # Compute a statistic that is the fraction of observations within a certain distance from the origin\n",
    "    # \n",
    "    # Args:\n",
    "    #    obs: observations to compute the statistic for\n",
    "    #    center_range: the range of possible center widths to compute the statistic for\n",
    "    # Returns:\n",
    "    #    statistic: a dataframe of the statistic evaluated for each possible center width\n",
    "    \n",
    "    output <- c()\n",
    "\n",
    "    i <- 0\n",
    "    \n",
    "    for (center in center_range) {\n",
    "        \n",
    "        i <- i + 1\n",
    "        \n",
    "        in_c <- c() #initialize vecotr to store observations inside of center\n",
    "        out_c <- c() #initialize vecotr to store observations outside of center\n",
    "        \n",
    "        j <- 0\n",
    "        \n",
    "        for (ob in obs) {\n",
    "            \n",
    "            j <- j + 1 \n",
    "            \n",
    "            if (abs(ob) <= center) {\n",
    "                in_c[j] <- ob\n",
    "            }\n",
    "            \n",
    "            else if (abs(ob) > center) {\n",
    "                out_c[j] <- ob\n",
    "            }\n",
    "            \n",
    "        }\n",
    "                \n",
    "        output[i] <- length(in_c[!is.na(in_c)])/length(obs)\n",
    "    }\n",
    "    \n",
    "    return(data.frame(center_range, output))\n",
    "}"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 111,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "center_range <- seq(0.01,1,0.01)\n",
    "\n",
    "test_curve <- NormStat(sample, center_range)\n",
    "reference_curve <- NormStat(rnorm(10000), center_range)\n",
    "\n",
    "test_curve$diff <- c(test_curve$output - reference_curve$output)\n",
    "\n",
    "best_c <- head(test_curve[order(test_curve$diff),],1)$center_range #find the best guess for the hole width\n",
    "test_statistic <- head(test_curve[order(test_curve$diff),],1)$output #find the best guess for the hole width"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We record the fraction of observations in the center as a function of center width, for our \"hole-y\" distribution, as well as for the normal distribution. When the center width equals the true center width, the fraction should be at a minimum. We can return this minimum value as the best estimate for the center width."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 84,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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zYFFFBAAQUUUEABBRRQIKtKgVS/q+PU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7xdGlNcWRf4beVHwFSRoCCCCAAAIIlEOA\nAinn23mI+u83cRso/iB5FhoFUha2An2IKRDoZyeYprg48i/EaDtXD+6MTuA+AggggAACCBRe\ngAKp8Js4/QFSIKVvzhrbEni3ONLn+v6lOPKV7N5Wdmlr0bwIAQQQQAABBPIqQIGU1y2X4X5T\nIGV449C1UKCvONLn+IJ6xZFn8mf7HBoCCCCAAAIIlEugUAVSeNWpcm1CRosAAi0KBOvrBTcp\n9ygH6lLe82oWMEaP91K2rJnOQwQQQAABBBBAAAEEWhbgCFLLZLwgPYFAFzkJfOTo8jqn1YXd\n8CXyzw0fcIsAAggggAACpRIo1BGkUm25DA+WAinDG6fcXQuWVVH0gHJtk+JIR5T6rlzXq6tA\nlnsTMXoEEEAAAQR6L1CoAmlg7z3pAQIIZFMg8PeInaf4l97BdU6rc7d9mu6pyhnKPxUaAggg\ngAACCCCAAAIdC3AEqWNCFpC8QPBtHTWao2zaZNlH67mZygpN5uEpBBBAAAEEECi2QKGOIBV7\nU+VndBRI+dlWJelp8GEVRguUjzQZ8Kp67gXluCbz8BQCCCCAAAIIFF+AAqn42zj1EVIgpU7O\nChsLBBurMJqtTGg8T8Wn596g+OIMg5rMx1MIIIAAAgggUHwBCqTib+PUR0iBlDo5K6wvEAxV\nYfSoMlnxZ5AatZP0xMvKuo1mYDoCCCCAAAIIlEaAAqk0mzq9gVIgpWfNmhoKBDoqFFyhPKQs\n13C2SmUPPafT7yofajIPTyGAAAIIIIBAeQQokMqzrVMbKQVSatSsqLFAcJoKo1nKBo3nqayp\n515UfthkHp5CAAEEEEAAgXIJUCCVa3unMloKpFSYWUl9gWCwiiJdzjt4Q9mz/jx9U31J71uU\nvyi+T0MAAQQQQAABBCxQqAKJNzns1AiUWiBYXcO/RPGRodH6rqO/N+H4vp7bUNlS8Sl2NAQQ\nQAABBBBAAAEEuiLAEaSusLLQ5gLBtjpiNFW5VVmt+byV/fS8i6Jx/czH0wgggAACCCBQPoFC\nHUEq3+bL5ogpkLK5XQrcq+BwFUVvKuco/qXWrPlKdfpsUuW7zWbiOQQQQAABBBAorQAFUmk3\nffcGToHUPVuWvIhA35XqdIGFYL7ylUWeavzgF3rqTsXffURDAAEEEEAAAQRqBSiQakV43LEA\nBVLHhCygf4FgMRVFE5WZyrj+5++bQxdw6Pu+o0/GnJ/ZEEAAAQQQQKB8AoUqkLhIQ/l2YEZc\nSoHAP+sXKLsszID7dBun7a+ZXCT9b5yZmQcBBBBAAAEEEMi7AAVS3rcg/UegX4G+zxhdrNm2\nV3bVleoe7Pcl780wXnddHL323iTuIYAAAggggAACxRWgQCrutmVkCEjA33FU+aMyShmj4uhR\n3cZta2jGPZTd4r6A+RBAAAEEEEAAgbwLUCDlfQvSfwQaCgRL6anJyiaKi6MnGs5a/4kjNPlp\nxV8MS0MAAQQQQAABBEohQIFUis3MIMsnECytMV+ujFBcHE1pw2C8XnOuEig0BBBAAAEEEECg\nFAIUSKXYzAyyXAJ9R46u0pjXUlwcPdvG+HfQazZQzmvjtbwEAQQQQAABBBDIrQAFUm43HR1H\noJ5A3wUZJumZdZXRKo6m1psrxjRf1vsG5Z8x5mUWBBBAAAEEEECgMAIDCzMSBoJA6QX8PUd9\nl/IeqdvdOyiOfHrewcpvFBoCCCCAAAIIIFAqAY4glWpzM9jiCgQDNLZzFJ1S13da3VMdjPVj\neu07yiUdLIOXIoAAAggggAACuRSgQMrlZqPTCPyLwBma4i911SW5Bzz0L8+2NsGn112ovNXa\ny5gbAQQQQAABBBBAAIFkBI7SYgJlmWQWx1LKJRB8X7vP68qOCYx7uJbho0cfSGBZLAIBBBBA\nAAEEyiGwhIbp97L+UnoaAokIUCAlwljGhQT/od9HOtITjEto9BO0nAcTWhaLQQABBBBAAIFy\nCFAglWM7pzpKCqRUuYuysuA4FUbzlY8kNCJ/jmmK8vWElsdiEEAAAQQQQKAcAhRI5djOqY6S\nAilV7iKsLDhRhdE85cAER6PPL1VUcFVWS3CZLAoBBBBAAAEEii9AgVT8bZz6CCmQUifP8wr7\nPnPk0+o+lPAofqvlXZ7wMlkcAggggAACCBRfgAKp+Ns49RFSIKVOntcVBj9VYeQLMoxLeARb\naHk6IlXZO+HlsjgEEEAAAQQQKL4ABVLxt3HqI6RASp08bysM9KXOwVnKHGXnhHvvL4y+TZmc\n8HJZHAIIIIAAAgiUQ4ACqRzbOdVRUiClyp23lQWLqSg6X5mlbNeF3n9Ry1ThVVmrC8tmkQgg\ngAACCCBQfAEKpOJv49RHSIGUOnleVhjoynLBROVFZVQXer2mljlb+VIXls0iEUAAAQQQQKAc\nAhRI5djOqY6SAilV7jytLDhdhdErysgu9XqSlnuH4tPsaAgggAACCCCAQDsCFEjtqPGapgIU\nSE15yvpk8FUVRnOVXbok4O9P8mW9u1V8danbLBYBBBBAAAEEMiZAgZSxDVKE7lAgFWErJjqG\n4BAVRguUgxNd7HsLW053pyo/eG8S9xBAAAEEEEAAgbYEKJDaYuNFzQQokJrplO65YNfqkaNj\nuzj0M7TsJ5WlurgOFo0AAggggAAC5RCgQCrHdk51lBRIqXJneWX+rFGgiyYEP+5iL30lvLeV\ncV1cB4tGAAEEEEAAgfIIUCCVZ1unNlIKpNSos7yiYB0VRtOUCxVdva4rbXEt9T7lt11ZOgtF\nAAEEEEAAgTIKFKpA8pslGgII9FwgWFFduEZ5VDmyUhkQdKlL/6Xlrq7s3qXls1gEEEAAAQQQ\nQCDXAhRIud58dL4YAsGyGsfVyjxFV5Yb4NtuNJ+2d6gyVtH3KtEQQAABBBBAAAEEEMimAKfY\nZXO7pNCrYLBOp7tBeUxZpYsrnKBlv6noAhA0BBBAAAEEEEAgUYFCnWKXqAwLa1uAAqltujy/\nMNAR3GCy8qyizx91ren7lPqOTu3btTWwYAQQQAABBBAoswAFUpm3fpfGToHUJdjsLtYXYQjO\nV2YoG3Wxn9639H1KlY93cR0sGgEEEEAAAQTKLUCBVO7t35XRUyB1hTXLCw30PUTBK8qoLvbS\nnzdycfSpLq6DRSOAAAIIIIAAAhRI7AOJC1AgJU6a5QUG31Nh9IayUxd7+WEte75yTBfXwaIR\nQAABBBBAAAELUCCxHyQuQIGUOGlWFxioYAl0lbpgry72cAUte6ZyUhfXwaIRQAABBBBAAIFQ\ngAIplOA2MQEKpMQos7ygYA8VRjrlLTisy708Tct/XBnU5fWweAQQQAABBBBAwAIUSOwHiQtQ\nICVOmrUFBiNUGL2s/LDLPVtby/flvLkoQ5ehWTwCCCCAAAIIvCtAgfQuBXeSEqBASkoyk8vx\nF8EG9yv6MthgYJe7+Bst/05FV8mjIYAAAggggAACqQgUqkDS97DQEECgewK+nHflXGVJRVeV\nG/CObrvVNteCj1DGKkG3VsJyEUAAAQQQQAABBBDotgBHkLot3LPlByeoVpmjbJpCF67QOq5K\nYT2sAgEEEEAAAQQQiAoU6ghSdGDc750ABVLv7Lu45uBDKox8UYaPdHEl4aLH6M7byshwArcI\nIIAAAggggEBKAhRIKUGXaTUUSIXb2sFGKoxmK99JaWi3az3nprQuVoMAAggggAACCEQFKJCi\nGtxPRIACKRHGrCwkGKbC6BHlEiWNiyUcqJG/payTFQH6gQACCCCAAAKlEihUgdTtK2qVas9g\nsAioIBouhVsUfe7IF0wY0O2LJfhCK6coZyjPKjQEEEAAAQQQQACBDgSKfhU7H5kZ0obPrXrN\nbW28jpeUWiDYQsO/RnlA+aiKo9dT4PA+vopyagrrYhUIIIAAAggggAACORe4R/33X/BbTVqf\nGwl5OcUulMjtbTBau9ks5QJlUErDWEbrma58I6X1sRoEEEAAAQQQQKCeQKFOsSv6EaS9tQUn\nKdsrlyrnKHHao3FmYh4EFgoE++v2IuUs5dgUTqtbuNqFp9W9oQc/DydwiwACCCCAAAIIIIBA\nfwKDNYOv8DVXGdXfzD16niNIPYLvfLXBp3XEaL7yrc6X1dISxmtu79PbtvQqZkYAAQQQQAAB\nBJIXKNQRpOR5srnEzdQtv5n0h+ez2CiQsrhV+u1T8OVqcfSpfmdNdobNtTh/vulLyS6WpSGA\nAAIIIIAAAm0JUCC1xdb7F31NXbhP8Qfps9YokLK2RfrtT7CniiN/Ceyh/c6a7AzLanG6hHjl\n98kulqUhgAACCCCAAAJtC1AgtU3HCxsJUCA1ksnk9GADFUa+IMMpPejeBVrnY0o7V2fsQXdZ\nJQIIIIAAAgiUQIACqQQbOe0hUiClLd72+gIVJsHDymVK2t8jdrS6/aby/ra7zwsRQAABBBBA\nAIHkBSiQkjct/RIpkHKxC7ggCq5QHlKWS7nLW2l9byneV2gIIIAAAggggECWBCiQsrQ1CtIX\nCqRcbMjgByqMZirrp9zdoVrfk8pvU14vq0MAAQQQQAABBOIIFKpAKvr3IMXZoNF5fArT55Vf\nKWdGn2jx/jqa/1plUMzXpX00Ima3mO09gb6LMfhCH/voe46eeG96Kvf+W2vx0SPvmzQEEEAA\nAQQQQACBLgpQIC2Ku6oejlR820mbrhefqriajtNGa6Yj48zIPL0QCLbWWn+tfEPF0fUp92A/\nre+jir/vyJf2piGAAAIIIIAAAgggkJpAUgVSqx3mFLtWxVKbPxiuU+r+qZyb2irfW5Ev6f2s\nctp7k7iHAAIIIIAAAghkTqBQp9hlTrekHaJAyuSGDzasFkfX6HZwD7r4M63zKWXpHqybVSKA\nAAIIIIAAAnEFClUglfEUuxW0pf2hd7/hfU15ReHUJSHQogLBZnr0J+VO5eM6tW5u9NkU7vuU\nui8q+ypvpLA+VoEAAggggAACCCBQIoFRGuvZygwlqBNfIewsZZjSi8YRpF6oN1xnoP0leFG5\nWOnFHxG8zn8oExt2kScQQAABBBBAAIHsCBTqCFJ2WLvXkxO16LAoekb3b1X0XTaVi5SrlTuU\n5xXP85JymJJ2o0BKW7zh+oLttCvMUs5TFms4W3ef0MUgKi8rq3R3NSwdAQQQQAABBBBIRIAC\nKRHGdBZykFbjwseFkL9os1EboCd2Vu5SPP8OSpqNAilN7YbrCrQPBHMUXeI98D7RizZCK/Up\ndZ/qxcpZJwIIIIAAAggg0IYABVIbaL16iU9R8ulzcT9g788n6Q1yR9+BpJe33CiQWiZL+gWB\nPusT6LNowU+SXnKLy/P3Z93U4muYHQEEEEAAAQQQ6KUABVIv9Vtc9/2a/3ctvuYWzX95i6/p\ndHYKpE4F2359MFBF0feUBcqEtheTzAsP12L8hbAbJrM4loIAAggggAACCKQiQIGUCnMyK7lO\ni3lYGRRzceERpP+MOX9Ss1EgJSXZ0nICfcYn0JXqgpmKjiD1tK2otfsiIt/uaS9YOQIIIIAA\nAggg0LoABVLrZj17hf8i788UXabow/cNmz9vMlrxBRt0JKGyo5Jmo0BKU7tvXcFO2jWmKfrc\nWTA89dX/6wp/o0kPKv4FQ0MAAQQQQAABBPIkQIGUo63lwudYRZ8t6SuUpur2duVK5cLq7W26\nfU5xITVfOUZJu1EgpSoefF2bW9s6+KWShYJkVw3/bSXtwjxVdVaGAAIIIIAAAoUVoEDK4ab1\nlcFcEOmIQV8h5GIojIunx5UfKWsrvWgUSKmoB7pYR/BH5VXl0FRW2f9KltQsjym6ch4NAQQQ\nQAABBBDIpQAFUi4323udHqK7LoQ2UIa+N7mn9yiQus4fqBAJrlGeUTbp+urir+BkzeojmFnZ\nF+P3nDkRQAABBBBAAIGFAhRI7AmJC1AgJU4aXWCwlIoiXbAjeFp5X/SZHt/fTOufpxzY436w\negQQQAABBBBAoBMBCqRO9HhtXQEKpLosSUwMllZR5CvVTVHWTWKJCS3Dn4/7q5L2JeUT6j6L\nQQABBBBAAAEE3hUoVIG0+LvD4g4ChRMIltGQrlDWUcZUKgOezdAQP6e+jFR8FImGAAIIIIAA\nAggggAACEQGOIEUwkrnr4ij4P+UJpVcX32g0lNX1xCvKVxrNwHQEEEAAAQQQQCBHAhxBytHG\noqulFAiW1bCvVlZVfORoWsYYzlB/fOVE39IQQAABBBBAAAEEMjzwpsAAACrySURBVCTAKXYZ\n2hh0JQmBwFcpdHG0srKLiqPndJul9mF1Zn9lW8XffURDAAEEEEAAAQQQyJAABVKGNgZd6VQg\nWF5LuFZZTvGRo+mdLrELrz9ey/R3Hv2jC8tmkQgggAACCCCAAAIdCgzs8PW8HIGMCAQrqSM3\nKLqkd9+RoywWR77E+HbKOQoNAQQQQAABBBBAIIMCFEgZ3Ch0qVWBYJhecaPiS2fvqpsZrS4h\npfkP0XoeU+5JaX2sBgEEEEAAAQQQQKBFAQqkFsGYPWsCwWrq0c3KXGV3FUcv6zarzQXSRVnt\nHP1CAAEEEEAAAQQQqFQokNgLciwQrKHO36zMVsaqOJql26y2TdQxf+8RBVJWtxD9QgABBBBA\nAAEEJECBxG6QU4FgqDp+k+LT6fZQcTQn4wPx0aN7lYcz3k+6hwACCCCAAAIIlFqAAqnUmz+v\ngw/8WaPfKQuUfVQcvZaDkXB6XQ42El1EAAEEEEAAAQS4zDf7QB4FTlSnd1b0XUK5KI5Gqa8b\nKhcrNAQQQAABBBBAAIEMC1AgZXjj0LV6AsG+mvpt5aMqjnxFuDw0Hz26Q5mSh87SRwQQQAAB\nBBBAAAEEei1wlDoQKMv0uiPZXn+wnph0IYbgpGz3c5He+XTAp5WvLDKVBwgggAACCCCAQHEE\nltBQ/F52++IMiZH0WoACqd8tEKh4DO5TrlLy9Nm5HTS0txVfcY+GAAIIIIAAAggUUaBQBVKe\n3mgWcWdiTPEFztasPsJ2uE6teyf+y3o+p0+v+4vyXM97QgcQQAABBBBAAAEE+hWgQOqXiBl6\nLxB8VX3YTzlAxVGWv+uolso/XwcpF9Y+wWMEEEAAAQQQQAABBBBoLMApdg1tgt11St185bCG\ns2T3id3UNfW9snJ2u0jPEEAAAQQQQACBjgU4xa5jQhaAQCyB4P2abZLyEx05uiDWS7I1k0+v\n+5PyUra6RW8QQAABBBBAAAEEEMi2AEeQ/mX7BOvqqNE0ZaLiK8HlrQ1Sh19Wjsxbx+kvAggg\ngAACCCDQogBHkFoEY3YEWhQIVtQLrlYeVj6po0e+bGTe2jh12BeVmJy3jtNfBBBAAAEEEECg\nzAJcpKHMWz+TYw+WVLcuU+YpH1Vx5Ns8tkPVaRd5s/PYefqMAAIIIIAAAgiUVWDxsg6ccWdR\noO/7jfxZo7UUfdHYgDlZ7GWMPi2lefZXjooxL7MggAACCCCAAAIIZEiAAilDG4OuVM6QwRhl\nRxVHz+fYQ5cj72uX53gMdB0BBBBAAAEEECilAAVSKTd7FgcdnKBe6fNGlbEqjh7JYg9b6JPH\ncbHyRguvYVYEEEAAAQQQQAABBBCoCvhULF+IwB/qL2ELvqvh67NGgU9Ly3tbRwN4W9kh7wOh\n/wgggAACCCCAQEyBQl3FLuaYma3LAiUtkHz57uBnio60BPt02TitxX9bK8r7EbC0rFgPAggg\ngAACCBRDgAKpGNsxU6MoYYEULKai6FxFV3kLRmdqa7TfGRV8lSeUf29/EbwSAQQQQAABBBDI\nnQAFUu42WfY7XLICKRisomiS8qKyVfY3T+we+gITC5Q1Yr+CGRFAAAEEEEAAgfwLFKpA4iIN\n+d8hczaCIPzy1I3VcR05yv0FGaL+4/XgOuW56ETuI4AAAggggAACCORHgAIpP9uqAD0Nltcg\n/OWpKys7qTh6pgCDCoewrO4cpHwynMAtAggggAACCCCAQP4EKJDyt81y2uNgJXX8esX7nI8c\nTc/pQBp128XRXOWyRjMwHQEEEEAAAQQQQCD7AgOz30V6mH+BYJjGcGN1HLsWsDjy0Hzk6ALF\nRRINAQQQQAABBBBAIKcCFEg53XD56Xawmvp6szJP2V3F0cu6LVpbXwPylfh+U7SBMR4EEEAA\nAQQQQKBsAhRIZdviqY438NXcblbmKGNVHM3SbRHbeA3qPuXuIg6OMSGAAAIIIIAAAmUSoEAq\n09ZOdazB2lrdn5UZyh4qjvR9R4Vs/hk6QuHoUSE3L4NCAAEEEEAAgbIJUCCVbYunMt5guFbj\n4uhZZW8VR6/qtqhNR8YqPo1wYlEHyLgQQAABBBBAAIEyCVAglWlrpzLWYIRW83/K48q+Ko5e\nT2W1vVuJL85whaIvvaUhgAACCCCAAAII5F3Al1ymIZCQQOCLFdykPKAcoOLorYQWnNXF+Hud\nPqJ8PKsdpF8IIIAAAggggAACrQlwBKk1L+ZuKBBsoKduVnyxAhUNhS+ONMzKoYo/W+Uvv6Uh\ngAACCCCAAAIIFECAAqkAG7H3Qwg2VB9uVu5RfOSoDN8F5J+dY5RfKwsUGgIIIIAAAggggAAC\nCCQkcJSWEyjLJLS8FBcTbKyuP6dcqiyR4op7vaqPqQNvKqv0uiOsHwEEEEAAAQQQ6LGA3wP6\nvez2Pe4Hqy+QQE4LpGAT/Sw8r1yiDCrQ9ogzlL9ppl/EmZF5EEAAAQQQQACBggtQIBV8A/di\neDkskPqKoxdUGP2xhMXRHtpJ5ivDe7GzsE4EEEAAAQQQQCBjAhRIGdsgRehOzgqk4H0qiqYq\nk5QyXgnRV+o7vwg7HmNAAAEEEEAAAQQSEChUgVTGN7cJ7ANlXkSwhkZ/g/KgcoguyFC2CxR8\nUOMeo2yu0BBAAAEEEEAAAQQKJsBV7Aq2Qbs7nGBlLf9Pio4e9V2tbl5315fJpX9LvdIFKSoP\nZbJ3dAoBBBBAAAEEEECgIwGOIHXEV6YXB0M12uuUN5QP6ciRb8vWfNTow4qPItEQQAABBBBA\nAAEECihAgVTAjZr8kAJffvwqxeeX6vSyAXOSX0culvjv6qU/f3RnLnpLJxFAAAEEEEAAAQRa\nFqBAapmsbC8IBmvEk5VVldEqjl4um0B1vLowhT9zVdmrpONn2AgggAACCCCAQCkEKJBKsZnb\nHWSwpF75B0VfBlvZScWRvvOotO04jfxuxZ/BoiGAAAIIIIAAAggUVIACqaAbtvNh9X3m6DIt\nZ11lNxVHz3S+zNwuYTX1/JPKYbkdAR1HAAEEEEAAAQQQiCVAgRSLqWwzBatoxNcq/szRjiqO\nppVNoGa8x+rxFMWnGtIQQAABBBBAAAEECixAgVTgjdve0ILhet31ij9rtLuKo5m6LWNbS4Me\nq8ig8jHlaCVQaAgggAACCCCAAAIFFqBAKvDGbX1owWZ6jS/l7S+BPUDF0eutLyPVV6yvtQ1J\ncI3DtSwXRC6MNlRmKDcqX1R+q9AQQAABBBBAAAEECi5AgVTwDRx/eIG/2+dKxQXB4SqOsvgl\nsGuqby5gwiJmDd1Psr2mhf1ZOVO5Qblf4aiREGgIIIAAAggggEBZBMpYIK2gjesvPfXlq/2G\n+BUl60dK1MVutmBXLf1yZaKiU8kGvNOFtS2rZY5RtlQGtrh8X2LcRZGvpveS4iJuQvXWR3mS\nav7y27eTWhjLQQABBBBAAAEEEMifQFkKpFHaND5Naj9lWJ3N9JSm+fLNJygv1nm+wJMCFx4u\njn6lwuhrCQ50kJblo1Lh0Z7tdH+Bcq/S6tGp2XrN2YqP6vj1HNURAg0BBBBAAAEEEEAAgXYE\nTtSL/Iba8aWqb1WuUC5SrlbuUPz9Pn7eRycOU9JuR2mFXv8y6a44GKfV6qhJcFqC691Ey7Lt\nq4qPxtypnKq4UFpSoSGAAAIIIIAAAggUS8BXPvZ72e2LNaxijuag6sZyIbRVkyEO0HM7K3cp\n3rg7KGm2HhRIwZ4a6pvKDxIa6DpazjmKjxL9STlAWV6hIYAAAggggAACCBRbgAIpR9t3ovr6\npOLPG8VpK2imOYo/pJ9mS7lACvZWYfSWckoCg/Qpiz9VtLy+o0VjE1gmi0AAAQQQQAABBBDI\nj0ChCqSifwZppPar25S5MfevWZrvPsVXSytoC/bVwP6o/Kc+c/Ttfga5tJ7fSVm9wXwbafqX\nlH8qPjVxkkJDAAEEEEAAAQQQQCC3AkUvkJ7XltlaGaTMj7GVfATJRdVZMebN4SyBj+64iPm+\niqMJdQbg/WFbJbywQnge6fQ683qSrwDoAum3ij9vREMAAQQQQAABBBBAAIEMC+j7fPo+U3SZ\nbn0VtUbNn0EarfiCDf4MzY5Kmi2lU+yCg8VxTM3ANtXjLys2mq28o9yt+MINeyo+ikRDAAEE\nEEAAAQQQQKCRQKFOsWs0yKJMd+FzrPK64osvTFVuV65ULqze3qbb5xQ/76NMtQWEJnW9pVQg\n9Y1jLf07XvFRn3DcT+i+P3d1kLKSQkMAAQQQQAABBBBAIK4ABVJcqQzNN0J9cUE0TXEhFI2L\np8eVHylrK71oaRVIx2twHvsLij0+rQxXaAgggAACCCCAAAIItCtAgdSuXEZeN0T9cCG0gTI0\nI31Kq0BaTePdQvGRNRoCCCCAAAIIIIAAAkkIFKpAKvpFGuptcF/G2ylj88UWGl1woYwejBkB\nBBBAAAEEEEAAgUUEylggLQJQ8+BoPf688ivFn8lpty2nF35LGRRzAT6qQ0MAAQQQQAABBBBA\nAIEeC1AgLboBVtXDkYpvO2lL6cUbKz7cGKf58uJuvkgEDQEEEEAAAQQQQAABBBDIhEBSBVKr\ng/H3DfniCXELqlaXz/wIIIAAAggggAACCHRLgM8gdUs2A8v11d0cGgIIIIAAAggggAACCJRQ\noIyn2Pl0Nl+9brDymvKK4kt90xBAAAEEEEAAAQQQQKDkAgNLMv5RGufZygxlpjJFeUSZqrhI\nelI5Sxmm0BBAAAEEEEAAAQQQQACBwgqcqJGFXwz7jO7fqlyhXKRcrdyhPK94npeUw5S0G59B\nSluc9SGAAAIIIIAAAggkJVCozyAlhZLV5RykjrnwcSG0VZNO+otTd1buUjz/DkqajQIpTW3W\nhQACCCCAAAIIIJCkAAVSkppdXtZELd+nz/nzRnGaP5/kL5Ht5DuQ4qyndh4KpFoRHiOAAAII\nIIAAAgjkRaBQBVLRP4Pk7zS6TZkbc++apfnuU9aMOT+zIYAAAggggAACCCCAQIEEil4g+bNF\nWyuDYm4zH0FyUeULONAQQAABBBBAAAEEEECgZAJFL5DO0/bcWPmjsl2TbevPII1WrlGWViYr\nNAQQQAABBBBAAAEEECiZQNG/B+kCbc9VlJOVDyvTFF/a+2XFnzUaoqyorKusrixQvqb8VaEh\ngAACCCCAAAIIIIAAAoUUGKFRXai4QPJV6qLxl8Q+rvxIWVvpReMiDb1QZ50IIIAAAggggAAC\nSQgU6iINRT+CFG7wp3Tn0OoDHzUaqiyp+ItjZys0BBBAAAEEEEAAAQQQQKBSlgIpuql9ap1D\nQwABBBBAAAEEEEAAAQQWESj6RRoWGSwPEEAAAQQQQAABBBBAAIFmAhRIzXR4DgEEEEAAAQQQ\nQAABBEolQIFUqs3NYBFAAAEEEEAAAQQQQKCZQBk/g9TMo9fP+QogSTQXvoslsSCWgQACCCCA\nAAIIIJB7gfldHkFS72G73M14i6dAiufU7bnCnfbVbq+I5SOAAAIIIIAAAggg0CWBeV1abqqL\nHZDq2lhZM4Ft9OSgZjPEfG4FzXelcqIyPeZrmK14Av+hIf1Nua54Q2NEMQX85dgbKj+OOT+z\nFU9guIbk3wVfVMI/xOkurWQC/h1wgfL3ko2b4b4nMF53X1MmKN1sLo7Yz7opzLLbFlhFr/QX\n4W7S9hJ4YREE7tIgvl6EgTCGtgUm6JU3tf1qXlgEgQ9oEP7/YOkiDIYxtC3wol55UNuv5oVF\nEDhXg3BoMQW4SENMKGZDAAEEEEAAAQQQQACB4gtQIBV/GzNCBBBAAAEEEEAAAQQQiClAgRQT\nitkQQAABBBBAAAEEEECg+AIUSMXfxowQAQQQQAABBBBAAAEEYgpQIMWEYjYEEEAAAQQQQAAB\nBBAovgAFUvG3MSNEAAEEEEAAAQQQQACBmAIUSDGhmA0BBBBAAAEEEEAAAQSKL0CBVPxtzAgR\nQAABBBBAAAEEEEAgpgAFUkwoZkMAAQQQQAABBBBAAIHiCyxe/CGWboQLqiOeV7qRM+CowHw9\nYB+IipTvPvtA+bZ57Yj9O+AdJfx/ofZ5HpdDwPsB/x+UY1s3GiXbv5EM00slsH6pRstg6wms\nqYlL1XuCaaURWEYjXa00o2WgjQTWa/QE00sjMFwjXaw0o2Wg9QRW1ESHhgACCCCAAAIIIIAA\nAggggAACCCCAAAIIIIAAAggggAACCCCAAAIIIIAAAggggAACCCCAAAIIIIAAAggggAACCCCA\nAAIIIIAAAggggAACCCCAAAIIIIAAAggggAACCCCAAAIIIIAAAggggAACCCCAAAIIIIAAAggg\ngAACCCCAAAIIIIAAAggggAACCCCAAAIIIIAAAggggAACCCCAAAIIIIAAAggggAACCCCAAAII\nIIAAAggggAACCCCAAAIIIIAAAggggAACCCCAAAIIIIAAAggggAACCCCAAAIIIIAAAggggAAC\nCCCAAAIIIIAAAggggAACCGRNYLGsdYj+NBVYS8+OUXw7Q5mvtNK8vbdXPqAsUGYqtHwJdLoP\neLQjFO8Hm/qB2ssLb/g3JwJJ/xzvpnGvrvwzJ+OnmwsFkvhdsJoW5f9T/DvhVeV1hZYfgU73\ngSU11K2VHZRllZeUtxVaPgU+om77/4cXW+x+p/tRi6tjdgSSFfiuFueCKKhmgW6/ocRtG2jG\nh5Xw9b59UFlboeVDoNN9wG+GJivRfcD3b1T8BomWfYGkf4730ZC9D1yb/aHTw4hAp78LhmhZ\nk5To74I39fhbkXVwN9sCne4D/sPI00p0H5iix55Oy5/AUeqyt+XXWux6p/tRi6tjdgSSFRin\nxXnH939ooxQfAbpG8bQvKf21AZrhz8oc5RPK+op/mN5QnlGWUWjZFuh0Hxio4d2seJ+5WNlb\nGaP8WnlHeUDxXxNp2RVI+ud4mIY6XfE+QYGU3e1e27NOfxd4eXcq3u6nKlso4xX/wczTDlFo\n2RbodB9YR8N7RZml+A+tmynHKT6bYLYyXKHlR2B/dXWe4p/fVgqkTvej/AjR00IKLK1RTVGm\nKj50GrYldMfTfVpMdHr4fPT2aD3wD87nohN1/6gG02tm42GPBZLYB8ZUt/WtdcZyZfW5g+o8\nx6TsCCT9c3yphjZD8e8GCqTsbOdmPUnid8G+1W1+Zs2KNq1Ov7lmOg+zJZDEPvB1Dck/9yfV\nDG1CdfoJNdN5mE2BldSt3ynelm9Vb+MWSEnsR1olDYHeCfgv/d75f1CnC6dUn/N/eM3aHXrS\nPzzL18zk0yx8WsVdNdN5mC2BJPaBIzWkKcpn6gzNfzH2PvadOs8xKTsCSf4cf1bD8jb3Oeu+\nvUahZV8gid8FN2mYPnJQ74ixT6/aNvsMpe5hEvuA30/4536/Gklvf0//Zc10HmZTwP8neHv9\nXjmiej9ugZTEfqRVFrf5tBtatgV8Op3bnQtvFvk3nLbNIlMXfTBID7dUHlN8SD3afMrdI8r7\nFc9Hy6ZAp/uAR3We8j7lbD+oaSOqj5+smc7D7Agk+XO8gYZ1uuI3QRRG2dnGcXqSxO+CrbWi\nvyhvKT5t06dXjVQWV/x5RP5gJoQMtyT2geur4xtfM84jq4/D52ue5mHGBP6u/oxTPq7Uvr/r\nr6tJ7Ef9rSPXz1MgZX/zrVrtos8Nrm0zqxPWrH0i8ngF3ffpePVe79m8DL/5GuYHtEwKdLoP\nNBvUynryWMXF8p+azchzPRVI6ufYb4InKlOVb/R0RKy8HYFOfxcM0UqXU55VDlBmKP784b3K\nC8rHFFq2BTrdBzy6m5WTlP0Ub38fUbpb+TfldOVKhZZ9gS+oi+3+v53EfpR9oQ566P8sadkW\n8H9obr78Zm2bWZ2wTO0TkcfNXu/Z4iwjsjju9kCg2TbsZPt5v7lCcZH0GWW6QsumQLN9wD2O\nux98R/OOUnxZ3zeUeqdZaTItowLN9oM4+0D4x7TRGp9/5n0U8RZlPcVXsPuDspfCZ9KEkNHW\n6T7gYb2tnK+4SN5C8VFEN59FcKYy3w9ohRZIYj8qNBBHkLK/eX0ahFu9bRVenMG/7Bq1Zq/3\na+Iso9GymZ6OQLNt2O72c1Hk0yi2U36u/FqhZVeg2T7gXsfZD1wU+U3wyQqnUQkhh63ZfhBn\nHwjfFI3U2P05NH9e4RLlR4pP03H76cIb/s2oQKf7gIflbX2/8rryAWXZ6q3/SPYPJdwXdJdW\nUIEk9qOC0iwcVr033YUecA4H91y1zyvW6Xs4bXad58JJ/oXnD/GF84bTw9twerNlhPNy2xuB\nTveB2l6vpwm3KdsrpyjHKLRsC3T6c+zTqn6n3Kf8RFk6Et3tK7A8bQk/oGVWoNPfBc9XR/ai\nbn0EIdpu0gPvZxsry0ef4H6mBDrdBzyYY5U3lH0V/7HEhZJv/djvBY5XaMUWSGI/KrQQBVL2\nN2+cnXhak2Es0HM+zzwshGpn9XT/omz1A361y+Fx9wQ63QeiPdtcD/6iDFc+q5yg0LIv0OnP\n8SgN0Rfp8K3fAPkNkRN+NnFs9fF5uqVlV6DT3wV+vb/3zP8n1DZPd5HkNmzhDf9mUKDTfcDb\n1keN/P/AzJrx+XeDzyzwEcZ1ap7jYbEEOt2PiqVRZzSL15nGpGwJPFztzhjd+lSIaPM0tzsX\n3jT818vYSfFpVS9F5vIvyk0UH01odppe5CXc7YFAEvuAu72N4s8W+KIc/kvhdQotPwKd/Bz7\nP8Mz6gzV/wccrTyrXKrcrdCyK9Dp7wIX2k8oGyk+Yug/jkXb6nowS/E8tGwKdLoP+P96/3F8\nlQbDW6I6PTxls8FsTM65QKf7Uc6HT/eLIuDTYnxqxJDIgIbqvk+HuEfpr9D9qOYJlG8o0fbv\neuDpB0Yncj+TAp3uA0tpVFMUn3fsU+to+RPoxs/xkmLw74Br8sdR2h53+rvg89VtPqFG0EcN\nXEBdXjOdh9kT6HQfeFBDmqf4j2bRtqYe+GySqdGJ3M+FwH7qpX+X+3OFcVun+1Hc9TAfAl0T\nOFRL9o7/d8XFzEGK/9Lr/8y2UqJtkh543gMiE/3XoocU/+Xoe8pY5eTqY89Py75AK/vASA3H\n+8C9kWGdVJ3m0zEnN8hnIvNzN3sCrfwc19sH6o2IAqmeSrantfK7oN7/B4M1PP9/4N8Rv1T2\nUo5SfJnv6coIhZZtgU73gdEant8PzFS+qeyq+Pf/M4r3i30UWr4E9lN3ve3qFUiN/j9oZT/K\nlwa9LZXA4Rqtf5n5B8Dx/U8rtW2SJvj5aIHkeVZWrlZ8nnm4jGt1fzWFlg+BuPtAvV+GPtIY\nbvdGtz/LB0Opexn357jePlAPjgKpnkr2p8X9XdDo/wNftGOiMlfx74P5yl+V2j+4aRItowKd\n7gMuku5Xov8fPKrH4zI6XrrVXGA/Pe1t2UqB5CXG3Y88Lw2BzAoMUM/WVzZT/FfAdpr/Y9xa\noTBqR6/3r0liH+j9KOhBpwL8HHcqmP/XJ/G7wJ83cTHt/YmWP4Ek9oGVNGy/J/BnkmnlFEhi\nPyqnHKNGAAEEEEAAAQQQQAABBBBAAAEEEEAAAQQQQAABBBBAAAEEEEAAAQQQQAABBBBAAAEE\nEEAAAQQQQAABBBBAAAEEEEAAAQQQQAABBBBAAAEEEEAAAQQQQAABBBBAAAEEEEAAAQQQQAAB\nBBBAAAEEEEAAAQQQQAABBBBAAAEEEEAAAQQQQAABBBBAAAEEEEAAAQQQQAABBBBAAAEEEEAA\nAQQQQAABBBBAAAEEEEAAAQQQQAABBBBAAAEEEEAAAQQQQAABBBBAAAEEEEAAAQQQQAABBBBA\nAAEEEEAAAQQQQAABBBBAAAEEEEAAAQQQQAABBBBAAAEEEEAAAQQQQAABBBBAAAEEEEAAAQQQ\nQAABBBBAAAEEEEAAAQQQQAABBBBAAAEEEEAAAQQQQAABBBBAAAEEEEAAAQQQQAABBBBAAAEE\nEEAAAQQQQAABBBBAAAEEEEAAAQQQQAABBBBAAAEEEEAAAQQQQAABBBBAAAEEEEAAAQQQQAAB\nBBBAAAEEEEAAAQQQQAABBBBAAAEEEEAAAQQQQAABBBBAAAEEEEAAAQQQQAABBBBAAAEEEEAA\nAQQQQAABBBBAAAEEEEAAAQQQQAABBBBAAAEEEEAAAQQQQAABBBBAAAEEEEAAAQQQQAABBBBA\nAAEEEEAAAQQQQAABBBBAAAEEEEAAgTwKLJbHTtNnBBBAAIFSCxyo0W+iPFxqBQaPAAIIIIAA\nAggggAACpRbYTqP/pfK08rjyZWWYQkMAAQQQQAABBBBAAIEeCgzSuo9TDk6hD2muK4XhtL2K\nz+qV71TznG5fUAJlnrKXkqXGNsvS1qAvCCCAAAIIIIAAAl0XOFxr8JvzT3d9TZVKmutKYTht\nrWJtvepN5Wllc+Vk5XvKTsoC5UVlcSUrjW2WlS1BPxBAAIE2BAa28RpeggACCCCAQJoCLoSW\nVM5WHois+Bbdn6y8omwUmc5dBBBAAAEE2hbI0l/c2h4EL0QAAQRSFBitdTluOyg+gnGJMkdx\n8+/VfZUtlcHKP5TLFR8BqW2ra4IvOLCeMkN5ULlS8TLd+lvXwrni/et+baPsqiyv3Kf8Xpmv\nuK2suN8uQP6uRNsH9MAXRbhMmaWspHxI+auyrHKQco9yqzJOeUa5Walt22vChoo9ZlafjOM1\npDqv113b7Fev9Tfe8DVx1r+CZt5PuU2ZruypbKv4NL/rFVuGrb9tFmd9jXyv1kpeD1cU43Y3\nzeO+2/tTipd7qeJtHLYddcf76vqKt8ljiud5SwnbLrozTPlfZStlF2VVxfv2JGWuUtu8T++t\neB/3fnGVYkPvb74fbXFMovNzHwEEEEAAAQQQQCBDAhPVF59eF8afiwmPXozQ/Tuqz83W7UvV\n+w/pdqQSbWP1wG9CvRzP5zeZvn+Xsqbi1mxdC+eI968LovsVL3+O8mr1vvvlIzNuH1T8/A/9\noKb9TI/93Pur07euPj5Ft69U7/t5FwfPKS4iFlNq2+Oa4EJwUPWJuF6baX4v/27Fb9RPVnyK\nXaMWZ7x+bdz1e9t5/ScpD1bv+7NPnuY3/J9VwtZsm8VdXyPfHcOVxLy9XPO5WP2F4r461ytu\nQxUXyJ7mffjF6n0/flRZQwnbJN3xdv2q4nk95nB53iYrKtH2Kz3w857P29v3L1aeVG5Xoi2u\nSfQ13EcAAQQQQAABBBDImMDh6o/f9H060q8Buu/i5m3lE4ofu41TXlb8pnMJJWxP6Y7flG5a\nneAjMS44vNwfVKf5pt66Ik/3e9dHsf6suBgL+7WU7n9T8bqOV9zaKZD8BvgPyj7K1xQ3993L\n9VGWaNteDzz99OrEVr3Orr7eBZmPVp2lRD31sK/FHW8r6w8LJBcHLio8Fh/12F+Zq8xUllbC\nVm+btbK+sECq5xuuI86tCyQfjZylfEY5VNlZcZugeHv8VFlZcdtE+V/F070vhm2S7njsM5TP\nKysoqylXKJ73W0rYPqc7nna+skx14o66dYHl6XdUp/mmFZPIy7iLAAIIIIAAAgggkDWBem+A\nD1En/QbQb0pr20ma4Of85tFtScWF1M2K3ySGzW/u/WZz73CCbuutK/J0v3ddoHndP6mZ0+u9\nQblOGaS0UyBN1evc52jbSA+8vt9GJ+r+f1Wnb1Gd3oqXX+L+ugh7VPHynVcVv8EP34jrbl9B\nGme8raw/LJCe1vJrizIXTF6f5wlbvW3Wyvq21oK8zHq+4Tri3Hpf9HL+X52Z7eZtHy3sPFu4\nbhe+YXOB5OWE+284fdPqdD8fthd05xmldr/4uKZ5GdECqRUTvZSGAAIIpCOweDqrYS0IIIBA\n4QU+WB3hjbqNvln2ZJ/K5raNcpbylvJXZYxyq+I32dcoDyvfV5Jso6oLi76J9SS/Wd29+ly7\nN/fqhXNrXuwC5jblAMWFiz8z46LiYMWfbbpfcWvFy/O7vz+u5pe63VbxkY9jFB8V2U6Zr8Qd\nb6vr16L7+u9T66Lt6eqDIdGJde63s756vnUW3e+kaFESzvyV8E711pYbK7tVH9cWTp7sfTXa\nnq4+CMe+lh6vopyp1O4X3v/8R4Foa8ck+nruI4AAAl0RoEDqCisLRQCBEgpsUB3z6U3Gvn7k\nuQN1/yJlV8VvFP26KYpPTTpVqX0jrklttfdXX/XPtl7d/EXub712jib+j7K/coGyj+LPqZyo\nhK1Vr/B1vp2lXKt8T/GRjg8rRyo+DS/ueNtZ/3Qtv7a9VZ0wsPaJmsftrK+Rb82i+31Ybznu\n778p4xUf1VtJcbOtm4/Y1bba8deOPbT3ka/a5lP9al/fjkntcnmMAAIIJC5AgZQ4KQtEAIGS\nCoRvFn16lU8zqtd8gYSwzdAd/7V+Q2VvZS9lF+U7yvbKnkoSzUdV3OodEVj4zKL/1ntjvOyi\ns7z7qFERd7Hm+JnyCcUFkt+I+4jChUrYWvFy3/0m/i7lnXABuvX6z1RcIPkIkgukuONtZf1a\nbF+LrjucFve2nfU18o27znC+esv5hZ48WnlK+b1iWx+xek55XqnX+hv/a9UX1V60IVzWUN2Z\nFj7QbTsmkZdzFwEEEOiOAAVSd1xZKgIIlE/gseqQXQT5sz3RtrwebKOEf0H3qWc+FexF5VHF\nr3VB4b/i+03qHsoait+sdtqeqC5gPd2Gp/qFy/yG7nxQ+boSvlldMnwychs98hWZ3PDuq3rG\nR3YOVdZV9lUuU2YqYWvF67/1Iheeuys3hguo3oZv2sPCKO54W1l/zSrbepj2+pp10qfBuTjy\n/uD98k0lbDtW7ywWTmjh9pHqvOGRpOhLvf/VFtpZMon2lfsIIFBygf5OCSg5D8NHAAEE6gqE\nb8Zd6ITNBUCg/IdS++byF5p2veIjQ24uOP6i/M4PIu1l3fcH3P1ZjbBgqbeuyEv6vXuV5nC/\nvlQz5xA9Pl4Zq/iv+i8pbjsr0f77yM3WfkKt3tGlhc/867+/0aRBylnKYMWPo60Vr8urLzwi\nuoDqfR+lcrtz4U3fd+zEGW8r668uOvZNvW3WzfXF7lh1xvdVb1/QbbQ48vZ14eTmbddq8/Im\nKbsr4yIv9v70/cjj8G6WTMI+cYsAAggggAACCCDQhsAueo3fhPsv4D9U1lbczlE8/RblYOUA\n5TzF0y5Vou1GPfD0ycqRyseV8xVP+6MStl10x9Nq1xU+H+fWp555Ge7DfsrnlLsUT/uyErbb\ndMfT3CcXHt9VfBTLR7k8fUvFzQWTH5/uBw2a32w/qXg+F2DRoksP+1pcr+U09wOKl+Vi04Wl\nTwsL32DfrfuLK2GLO9646x+pBXvdZ4QriNyeVH1u58i0XarTardZ3PXF8Y2sruFdF5bu95Ca\nOXzK4ozqcyfr1oW799dLFF9Uw0WTj2SGbZLueDkrhROqt/4jq6ffGJm+oe4/r8xTvO97+S5e\nfbTU83ofi7a4JtHXcB8BBBBAAAEEEEAgYwJ+M36R4iMFftN3oOLmN4zHKa8onu68o/h0s9WU\naPObzQuUBUo47xzddwEQ/et9o3VpttjNxckJymtKuK5Zul97VGldTftzZJ7Zun+i8qnqtPDU\nqbhv4L9dfd33dVuvteK1shZwteI33uEYbOs39cOUaIs73rjrb7VAarTN4q4vrm90zPXuX66J\ntqotkDzvTsrjSmjp/dDzD6/e+ijmGopbKwWS519LuVCZorgQc8E/QvG6rleiLa5J9DXcRwAB\nBBBAAAEEEMiowFLqlz/PUa+to4kuKOq9OY3O789lbKZsoPioS6PWbF2NXlM73W9G11c2Uvwm\nvlFbQU+4T/WO+jR6TafT43r5aNL5yrmK+9msxR2vlxF3/c3WV/tcs23WjfXVrr+/x/YZrrgA\nrPfZM01uuS3f4BUuYl0g+Q8LjVoWTBr1jekIIIAAAggggAACCGRW4GT17HuZ7V25OzZVw39Y\nWaKG4VQ9doF0TM10HiKAAAKZE2j218rMdZYOIYAAAgj0nRo1NKaDP09yc8x58zTb4Gpn5+ap\n0x321Ucqt21hGfdo3udamD+pWX+uBfnUTZ9K51PzfNrobsqRij/3tqfyqkJDAAEEEEAAAQQQ\nQCARgdu1FBcGcXJ/ImtkIVkQ2DfmNg/3C1/0oxfNR45+org49xEjxxfpmKjELew1Kw0BBBBA\nAAEEEEAAAQQQKI7AIA1lhBJe4bE4I2MkCCCAAAIIIIAAAggggAACCCCAAAIIIIAAAggggAAC\nCCCAAAIIIIAAAggggAACCCCAAAIIIIAAAggggAACCCCAAAIIIIAAAggggAACCCCAAAIIIIAA\nAggggAACCCCAAAIIIIAAAggggAACCCCAAAIIIIAAAggggAACCCCAAAIIIIAAAggggAACCCCA\nAAIIIIAAAggggAACCCCAAAIIIIAAAggggAACCCCAAAIIIIAAAggggAACCCCAAAIIIIAAAggg\ngAACCCCAAAIIIIAAAggggAACCCCAAAIIIIAAAggggAACCCCAAAIIIIAAAggggAACCCCAAAII\nIIAAAggggAACCCCAAAIIIIAAAggggAACCCCAAAIIIIAAAggggAACCCCAAAIIIIAAAggggAAC\nCCCAAAIIIIAAAggggAACCCCAAAIIIIAAAggggAACCCCAAAIIIIAAAggggAACCCCAAAIIIIAA\nAggggAACCCCAAAIIIIAAAggggAACCCCAAAIIIIAAAggggAACCCCAAAIIIIAAAggggAACCCCA\nAAIIIIAAAggggAACCCCAAAIIZFLg/wNCk8D1nmOOlAAAAABJRU5ErkJggg==",
      "text/plain": [
       "plot without title"
      ]
     },
     "metadata": {
      "image/svg+xml": {
       "isolated": true
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot(test_curve$center_range, test_curve$output, type = 'l')\n",
    "lines(reference_curve$center_range, reference_curve$output, col = 'blue')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We can see the expected value of this statistic for the normal distribution as the smooth curve plotted in blue. The curve in black is the bumpier curve that is the statistic as computed on our observations.\n",
    "\n",
    "Our best estimate of the value of the center width is the value that maximizes the curve below:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 199,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[1] 0.13\n"
     ]
    },
    {
     "data": {
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LIw4/u6Lf68XnxB2ajbQryGAAIIIIAAAgggEL4ABVL4x4ge5iuQ9/VHSe88UQOn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\nMq+k7WXZjE+xYwQpixjLIoAAAggggAACFQo05Rqk3WV8puJpvf0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VF0tJO1J3TlF82tD7kye5RWAAARfwLsrrNoJkEgokK9AQQAABBBBA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1pQskv7DhbAmbkoBnkMZPGcReCwj4rvbc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\njSV2yUNpZ+c5yTeP0toVSvhh6X+k7dJmUjrPPtm2nPyR6u8WS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DWMKsz4ESl0Vsdo27xXlJpoOEg1GtXt1VYfjHaEut2t8onOJ9PrJKf3\nl3aQhoM0SNrZ6sJBysYrTWp/3/4h+UZFJ7tYEV6eEDf/+L8hbRiP6LG/jeJflZIemO2RlWgI\nQCAngTHK599Uf64veVb4v6VB2ZGqyA6EzxtZbFkldrt7Xch6GfBxPQr2zRk/S/mRHunyRp+h\njFFHbiPt+xw5Y4oCT1Wal6SRKdKWlcTtbbIdrc5dFnRwX33+O9hu4gcOUo1G9RS11VPNab/8\no5X2eamfaXllz2w4SJmRDSwDDlI5qH0B4oslL2OJ24IK8J3fteMRwf7f9Jn1buwFynNyh/II\nhgAEyiEwSsXa0fi49Ix0lDRIm0mV/Uu6XvqitIjUzXzu8d3+G6SruiUM4rxU2OV3s3UUaQbR\nZVbd0meN+5oy3BTJ5FnymyP73Tbdtq93S0Bc3wT8O+bfswUkH1Pfl5pqOEg1Gtlb1dbfZGyv\n72yfmzFPv8lxkPolWF5+HKTy2H5HRT8qxe/u+qJjvOSZpiTbT4F3JUV0CFtc4W9Ja3SIJxgC\nECiPgGczXpHOlt5TXjUdSx6rmKOlCZIdFa8U2V/yTRrbUtJXJT8j5PPEQ5Jnr98n9bJVlMBl\nztchoc9hV0ie5SnLNlTBZjxzUMFp+jwh2OZj+AR8DDwg/a/k4+sDUlMNB6lGI3uh2nqnNCJl\nm0crnWeQfpAyfVHJcJCKIll8OThIxTMNSxypDd99/XkYEHz6AuawWFh0dxnt+KJkyWhgl21/\nn2/sEk8UBCBQHoHHVLS/0+EFfHk19S7ZS+0PkW6TfA55Mvj0ecjnHD+34wvatOblc89JH+2Q\n4ZMKf1latEN8EcGzqRDPUHg2yHa3NMhljO9Uyp+uBI5Q7CRpQtdU9Y/EQarRGH5CbfVJ8I/S\n6l3a7RPiutI1kg/itaVBGg7SIGlnqwsHKRuvrKnXVwb/uK8XZPTdXH9n3x/sd/r4tyI809TL\nvA7/KcnfMQwCEBg8gS1V5TyDr7Znjb7B8inJN1z6sT8r808SCvDyQjuH30qIKzrodhX4Zcl1\nepZiTQmrDgE73v5dO7I6TSqlJThIpWAtp1A7Pr6Ieknywemp86ul8yRPQ/vzKukRyfGept5b\nGrThIA2aePr6cJDSs8qb8nhl9EzvSOlAyUtje9nRSvDXXokU7zu4z0qzpEhLEghAAAJZCfgZ\nnpsTMvli+F7JN2nKtl+pgt9K60u+yVuF2To1A4sQ8PgsH9lv4iYOUg1H1WuQ7RA9LNkRisrO\n0z3SD6VFpGEYDtIwqKerEwcpHad+Uo1W5sekgyU/W/QNqZdtogSvS75j2s18A+TH3RIQBwEI\nQKAPAp6t8ayNz2OhLasN33D9UBhQ8ueeKv8+aR/JywcxCAyDAA7SMKgXWKcvqOwIeXp99gLL\n7acoHKR+6JWbFwepXL5h6Ttqw3c+ffNijNTLfCJ+Xuq09t/5V5JcXr9LaFwWBgEIQCCJwAgF\n+kZr1Bm6WPteejcoC18W8RdVeNKgKqUeCMQINMpBGsYbZWI8B77rhyot990Xvyy9EQQMAkMm\ncLrq94+73yI5Xuplnj26SPpgl4SfV9ylkpfvYRCAAATKIOCZoqul9YPCd9DnOtIgl+vfovpe\nlTaVbpAwCEAAAqkI+E7y8dITku8ox+V1wsdJ80jDMGaQhkE9XZ3MIKXjVEQq36yYK0NBn1Ja\nf6fjN3rmV9jnJN/V3V7CIAABCJRJ4Nsq/FppZukB6XvSoM3LiX1tY+cMg8AwCDRqBmkYAAdd\np09coUM0QdtXSn+S/MDc+dI10qOS0zwlfVwatOEgDZp4+vpwkNKzGnTK+VSh1/6vIS0h7Sdd\nITnsEcnPHk0vYRCAAATKJLCBCvcSYZ9zHpSGsTLlaNX7puTfLAwCwyCAgzQM6jnr9N1jOz52\nhFbuUsa0iltPuk5y+rWkQRoO0iBpZ6sLBykbr0Gn9g2OZyR/b++Wvi/ZYfJ3GoMABCAwCAIz\nqZLXJJ+HvMRuGLa5Kj1vGBVTJwQCAjhINToUTlFbvXxuZMo2j1a656VjU6YvKhkOUlEkiy8H\nB6l4pkWWuJkK219arshCKQsCEIBARgKXK/0lGfOQHAJNItAoB6npy0/G6cjzulzf2UljE5Xo\nFmmhNIlJAwEIDJ3AhWqBhUEAAhAYJoFdVPmLw2wAdUMAAsURiD/cXFzJ1SjJzxb59ZcjUjbH\nM0h2qv6VMj3JIAABCEAAAhCAgJ9xfhoMEIBAMwg0fQbpJA3Tb6QzpO9Kfl4hyfy8gt/88kPJ\nb6E5W+rHRinzN6W0jtny/VRGXghAAAIQgAAEIAABCECgGAJNd5BOFaZ5pUMl/xO3h6WHJN/l\n8bNGdmTmlBaVFpD8Fpp9pSukfmxGZV5C8nrMNOZ22Pz/FDAIQAACEIAABCAAAQhAAAKlEhir\n0k+T7CD5LTNR+X+l3CN59mgRaRi2pip1m9I6VMNoY1vr5CUNbR15+g0BCEAAAhCAQFoCvKQh\nLakKpbtPbdkpaI9na2aXPMvjfzL5nIRBAAIQgAAEIAABCEAAAhBo5T9R9NI6C4MABCAAAQhA\nAAIQgAAEIDAFgaa/xW6KzrIDAQhAAAIQgAAEIAABCECgGwEcpCnp7KXdm6U9pwxmDwIQgAAE\nIAABCEAAAhBoAwEcpClHeT7tjpP8iUEAAhCAAAQgAAEIQAACLSPQ9Nd8Zx3O/1OGM6XHs2Yk\nPQQgAAEIQAACEIAABCBQfwI4SFOOoR0jnKMpmbAHAQhAAAIQgAAEIACB1hBoo4M0WqPr13yP\nlF6UnpX8v5AwCEAAAhCAAAQgAAEIQKDlBNryDNJKGufjJf/fo2ek+6V/SQ9JdpLulY6T5pEw\nCEAAAhCAAAQgAAEIQKClBNowg/Rtje3Bwfg+oM+rJDtJdow8kzSn9F5pD2k76UvSqRIGAQhA\nAAIQgAAEIAABCECgUQS2V2/els6XVu7Ss2kVt550neT0a0mDtDVVmeudYZCVUlcqArMqlcdm\nlVSpSQQBCEAAAhCAAATaR8DXsL5e8jUtVnECp6h9Xj7n543SmJ9Pel46Nk3iAtPgIBUIs+Ci\ncJAKBkpxEIAABCAAAQg0jkCjHKSmP4M0Toefl9S9lvIwnKh0t0gLpUxPMghAAAIQgAAEIAAB\nCECgQQSa7iA9qrHy0qgRKcfMM0h2qvwCBwwCEIAABCAAAQhAAAIQaBmBpjtIJ2k83yedIa3e\nZWz9DNK60gXSzNLZEgYBCEAAAhCAAAQgAAEItIxA099i57fRzSsdKn1Ieljyq72flvys0Shp\nTmlRaQFpkrSvdIWEQQACEIAABCAAAQhAAAItI9B0B8lv0zhKOkf6ruQ31cVnkl5W2CPSEdLR\n0oPSsMwPuBVhnhmcroiCKOOdGUVjmFGaBR4QgAAEIAABCECghgTeKLnNRV3DltzMdMU33UEK\nKdynjZ2CHc8a+f8f+YLX/zj2OWnYFh60Lwy7IdTfkcA/OsYQAQEIQAACEIAABCBgAq83AYOf\nvcGqQWBVNSPtyyS6tdgvmjhP+rb0WLeExDWawDfVu39KFza6l3SuGwEvK15K8uw41k4CY9Rt\nnwu+IIU34rSJtYyAzwGnSte3rN90910Cu2nzRekgqUyzc8RxViZhys5NwM9ceWnhMrlLIGMT\nCPifHu/XhI7Qh9wEDlLOS3PnJmMTCKymTvj3wC8fwtpL4El1ffv2dp+ei8CJgYCRkkDT32KX\nEgPJIAABCEAAAhCAAAQgAAEITDMNDhJHAQQgAAEIQAACEIAABCAAgYAADhKHAgQgAAEIQAAC\nEIAABCAAgYAADhKHAgQgAAEIQAACEIAABCAAgYAADhKHAgQgAAEIQAACEIAABCAAgYAADhKH\nAgQgAAEIQAACEIAABCAAgYAADhKHAgQgAAEIQAACEIAABCAAgYAADhKHAgQgAAEIQAACEIAA\nBCAAgYAADhKHAgQgAAEIQAACEIAABCAAgYDA9JBoHIFJQY9eb1zP6FAWAm8oMcdAFmLNS8sx\n0LwxzdojnwPeksLfhaz5Sd8MAj4O+D1oxljm7QXjn5cc+RpFYIlG9YbO5CGwkDLNlCcjeRpD\nYBb1ZP7G9IaO5CWweN6M5GsMgTHqyXSN6Q0dyUNgTmWyMAhAAAIQgAAEIAABCEAAAhCAAAQg\nAAEIQAACEIAABCAAAQhAAAIQgAAEIAABCEAAAhCAAAQgAAEIQAACEIAABCAAAQhAAAIQgAAE\nIAABCEAAAhCAAAQgAAEIQAACEIAABCAAAQhAAAIQgAAEIAABCEAAAhCAAAQgAAEIQAACEIAA\nBCAAAQhAAAIQgAAEIAABCEAAAhCAAAQgAAEIQAACEIAABCAAAQhAAAIQgAAEIAABCEAAAhCA\nAAQgAAEIQAACEIAABCAAAQhAAAIQgAAEIAABCEAAAhCAAAQgAAEIQAACEIAABCAAAQhAAAIQ\ngAAEIAABCEAAAhCAAAQgAAEIQAACEIAABCAAAQhAAAJVIzBd1RpEe7oSWFix60v+fEJ6Q8pi\nHu81pdWkSdIzElYvAv0eA+7tWMnHwbLekT09+YO/NSFQ9Pd4I/V7AenBmvSfZk4mUMS5YH4V\n5d8UnxNekF6SsPoQ6PcYmFFdXUVaS5pVekp6U8LqSeDDarZ/H57M2Px+j6OM1ZEcAsUSOFjF\n2SF6O9AkfX5VSmtLKuGdUpjfn7dLi0hYPQj0ewz4YuhsKXoMePsSyRdIWPUJFP093kpd9jHw\nl+p3nRZGCPR7Lhilss6UoueCV7T/jUgdbFabQL/HgG+MjJeix8D92nc4Vj8Cu6vJHst9Mza9\n3+MoY3Ukh0CxBDZVcT7w/YO2kuQZoAskh31R6mXTKsHl0vPSztISkr9ML0sTpFkkrNoE+j0G\n3qPuXSb5mDld2lJaX/ql9JZ0m+S7iVh1CRT9PZ5HXX1M8jGBg1TdcY+3rN9zgcu7VvK4f096\nv7Sb5BtmDvuYhFWbQL/HwHvVvWeliZJvtC4nfUXyaoLnpDESVh8C26qpr0v+/mZxkPo9jupD\niJY2ksDM6tX90kOSp05Dm0EbDveymGh4GB/93Es7/uJ8Lhqo7d07hMeSsTtkAkUcA+sHY31l\nQl/OC+K2T4gjqDoEiv4en6OuPSH53ICDVJ1x7taSIs4FWwdjfmysomWD8Mti4exWi0ARx8B+\n6pK/99+Jde2gIPyAWDi71SQwl5r1G8lj+WrwmdZBKuI4UpUYBIZHwHf6ffAfntCE7wZx/sHr\nZtco0l+eOWKJvMzCyyqui4WzWy0CRRwDu6pL90ufTeia7xj7GDswIY6g6hAo8nu8h7rlMfea\ndX9eIGHVJ1DEueBSddMzB0kzxl5e9YHqY2h1C4s4Bnw94e/9NjGSHn+HHxMLZ7eaBPyb4PH6\nnfTJYDutg1TEcaQqm2tedoNVm4CX09munfwxxd8wbNUpQqfcGaHdFaW7JU+pR81L7v4lrSA5\nHVZNAv0eA+7VSdJi0vHeidnYYP/eWDi71SFQ5Pd4SXXrSMkXQThG1RnjNC0p4lywiir6u/Sq\n5GWbXl41Tppe8vOI3DAThApbEcfARUH/dov1c9dgP4yPRbNbMQLXqz2bSjtI8eu7Xk0t4jjq\nVUet43GQqj988wVN9NrguD0TBCwUj4jsj9a2l+Ml5Xcyl+GLr3m8g1WSQL/HQLdOza3IfSQ7\ny3/tlpC4oRIo6nvsi+BTpIekrw61R1Seh0C/54JRqnQ26QHpI9ITkp8/vFl6XNpOwqpNoN9j\nwL27TPqOtI3k8feM0g3SLtKR0nkSVn0Cn1cT8/5uF3EcVZ9QHy30jyVWbQL+QbP59ZtxeyYI\nmCUeEdnvlt/J0pQRKY7NIRDoNob9jJ+Pmz9JdpI+Kz0mYdUk0O0YcIvTHgcHKu1Kkl/r+7KU\ntMxKwVhFCXQ7DtIcA+HNtHXVP3/nPYv4D2lxyW+w+4O0hcQzaYJQUev3GHC33pROluwkv1/y\nLKLNqwiOld7wDtZoAkUcR40GxAxS9YfXyyBsSWMVvpzBJ7tO1i2/86Qpo1PZhA+GQLcxzDt+\ndoq8jGJ16cfSLyWsugS6HQNudZrjwE6RL4IPlVhGJQg1tG7HQZpjILwoGqe++zk0P69wlvRD\nyct0bD+a/MHfihLo9xhwtzzWt0ovSatJswafvkl2kxQeC9rEGkqgiOOooWgmdyvporvRHa5h\n5x4J2jxnQtvDsOcS4sIgn/D8EF+YNgwPP8PwbmWEafkcDoF+j4F4qxdXwFXSmtJ3pb0lrNoE\n+v0ee1nVb6RbpKOkmSPS5jsOlsNm8A5WWQL9ngseDXr2pD49gxC1S7Xj4+x90hzRCLYrRaDf\nY8Cd2Ud6Wdpa8s0SO0r+9L6vBfaXsGYTKOI4ajQhHKTqD2+ag/jhLt2YpDivMw8doXhSh/tE\nmfUBv3g57JdHoN9jINqy5bXzd2mMtId0gIRVn0C/3+OV1EW/pMOfvgDyBZEVPpu4SbB/kj6x\n6hLo91zg/P6/Z/5NiJvD7STZ5pn8wd8KEuj3GPDYetbIvwPPxPrnc4NXFniG8b2xOHabRaDf\n46hZNBJ6M31CGEHVInBn0Jz19emlEFFzmO3ayR8d/7qMdSQvq3oqksonymUkzyZ0W6YXycLm\nEAgUcQy42atKfrbAL+XwncILJaw+BPr5HvvH8CcJXfVvwF7SA9I50g0SVl0C/Z4L7Gj/W1pa\n8oyhb45FbQHtTJScBqsmgX6PAf/W++b4vB26N0MQHi7Z7JCM4JoT6Pc4qnn3aX5TCHhZjJdG\njIp0aHZteznEjVIvR/e/lOZt6atS1L6uHYd/NBrIdiUJ9HsMzKRe3S953bGX1mH1I1DG93hG\nYfA54IL64Whti/s9F+wZjPlBMYKeNbADdW4snN3qEej3GLhdXXpd8k2zqC2kHa8meSgayHYt\nCGyjVvpc7ucK01q/x1HaekgHgdII7KSSfeBfL9mZ2V7ynV7/mK0sRe1M7TjtRyKBvlt0h+Q7\nR4dIm0iHBvtOj1WfQJZjYJy642Pg5ki3vhOEeTnm2R302Uh6NqtHIMv3OOkYSOoRDlISlWqH\nZTkXJP0ejFT3/Hvgc8Qx0hbS7pJf8/2YNFbCqk2g32NgXXXP1wPPSF+TNpR8/p8g+bjYSsLq\nRWAbNddjl+Qgdfo9yHIc1YsGrW0VgU+otz6Z+QtgefszUtzOVIDjow6S08wtnS95nXlYxl+0\nPb+E1YNA2mMg6WTomcZw3Dt9Hl0PDK1uZdrvcdIxkAQOBymJSvXD0p4LOv0e+KUdp0ivST4f\nvCFdIcVvuCkIqyiBfo8BO0m3StHfg7u0v2lF+0uzuhPYRtEeyywOkktMexw5LQaByhKYVi1b\nQlpO8l3APOYfxlUkHKM89Iafp4hjYPi9oAX9EuB73C/B+ucv4lzg503sTPt4wupHoIhjYC51\n29cEfiYZayeBIo6jdpKj1xCAAAQgAAEIQAACEIAABCAAAQhAAAIQgAAEIAABCEAAAhCAAAQg\nAAEIQAACEIAABCAAAQhAAAIQgAAEIAABCEAAAhCAAAQgAAEIQAACEIAABCAAAQhAAAIQgAAE\nIAABCEAAAhCAAAQgAAEIQAACEIAABCAAAQhAAAIQgAAEIAABCEAAAhCAAAQgAAEIQAACEIAA\nBCAAAQhAAAIQgAAEIAABCEAAAhCAAAQgAAEIQAACEIAABCAAAQhAAAIQgAAEIAABCEAAAhCA\nAAQgAAEIQAACEIAABCAAAQhAAAIQgAAEIAABCEAAAhCAAAQgAAEIQAACEIAABCAAAQhAAAIQ\ngAAEIAABCEAAAhCAAAQgAAEIQAACEIAABCAAAQhAAAIQgAAEIAABCEAAAhCAAAQgAAEIQAAC\nEIAABCAAAQhAAAIQgAAEIAABCEAAAhCAAAQgAAEIQAACEIAABCAAAQhAAAIQgAAEIAABCEAA\nAhCAAAQgAAEIQAACEIAABCAAAQhAAAIQgAAEIAABCEAAAhCAAAQgAAEIQAACEIAABCAAAQhA\nAAIQgAAEIAABCEAAAhCAAAQgAAEIQAACEIAABCAAAQhAAAIQgAAEIAABCEAAAhCAAAQgAAEI\nQAACEIAABCAAAQhAAAIQgAAEIAABCEAAAhCAAAQgAAEIQAACEIAABCAAAQhAAAIQgAAEIAAB\nCEAAAhCAAAQgAAEIQAACEIAABCAAAQhAAAIQgEAdCUxXx0bTZghAAAIQaDWBj6r3y0h3tpoC\nnYcABCAAAQhAAAIQgAAEWk1gdfX+GGm8dI/0JWkeCYMABCAAAQhAAAIQgAAEhkhghOr+irTj\nANowyLoG0J3cVeyhnG8FekSfj0tvS69LW0hVMsasSqNBWyAAAQhAAAIQgAAESifwCdXgi/PP\nlF7TNNMMsq4BdCdXFYso1yvSeGl56VDpEGkdaZL0pDS9VBVjzKoyErQDAhCAQA4C78mRhywQ\ngAAEIACBQRKwIzSjdLx0W6Tif2j7bOlZaelIOJsQgAAEIACB3ASqdMctdyfICAEIQGCABNZV\nXZZtLckzGGdJz0s2n1e3llaURko3SedKngGJ2wIK8AsHFpeekG6XzpNcpq1XXZNTpfvrdq0q\nbSjNId0i/U56Q7LNLbnddkCul6K2mnb8UoQ/ShOluaQPSldIs0rbSzdKV0qbShOky6S4ramA\npSTzeCaITMNrVJDWdcfN/JKsV3/DPGnqH63E20hXSY9Jm0sfkLzM7yLJLEPrNWZp6uvE93xV\n8lJYUYrPjZTGbTfvT0su9xzJYxza2trwsbqE5DG5W3KaV6XQNtDGPNLvpZWlDaT5JB/bZ0qv\nSXHzMb2l5GPcx8WfJTP08ebtqKVhEk3PNgQgAAEIQAACEIBAhQicorZ4eV0oPxcTzl6M1fY1\nQdxz+nwq2L5Dn+OkqG2iHV+Euhyn80Wmt6+TFpJs3eqanCLdXztEt0ou/3nphWDb7fLMjG0N\nyfHf907Mjta+41YIwlcJ9r+rz2eDbcfbOXhEshMxnRS3exRgR3BEEJGW13JK7/JvkHyhfqjk\nJXadLE1/nTdt/R471/8d6fZg288+OcwX/HtIoXUbs7T1deK7dlhJys9zlc7O6k8lt9W6SLLN\nLtlBdpiP4SeDbe/fJS0ohXamNjyuX5ac1n0Oy/OYzClF7f+043in83h7+3TpXulqKWppmUTz\nsA0BCEAAAhCAAAQgUDECn1B7fNH3mUi7ptW2nZs3pZ0l79s2lZ6WfNE5gxTafdrwRemyQYBn\nYuxwuNzDgzB/JNUVie656VmsyyU7Y2G7ZtL21yTXtb9ky+Mg+QL4D9JW0r6SzW13uZ5lidqa\n2nH4kUFgVl7HB/ntkHm26jgpylO771ja/mapP3SQ7BzYqXBfPOuxrfSa9Iw0sxRa0phlqS90\nkJL4hnWk+bSD5NnIidJnpZ2k9STbQZLH40fS3JJtGen3ksN9LIZ2pjbc9yekPaXR0vzSnySn\n/YYU2ue04bCTpVmCwLX1aQfL4dcEYf7IwiSSjU0IQAACEIAABCAAgaoRSLoA/pga6QtAX5TG\n7TsKcJwvHm0zSnakLpN8kRiaL+59sbllGKDPpLoi0T037aC57qNiKV3vxdKF0ggpj4P0kPK5\nzVFbWjuu79fRQG3/LAh/fxCehZezuL12wu6SXL71guQL/PBCXJvvOKRp+pul/tBBGq/y406Z\nHSbX5zShJY1ZlvpWUUEuM4lvWEeaTx+LLue/ExKbm8c+6tg5WVi3Hd/Q7CC5nPD4DcOXDcId\nH9rj2pggxY+LHRTmMqIOUhYmyop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      "text/plain": [
       "plot without title"
      ]
     },
     "metadata": {
      "image/svg+xml": {
       "isolated": true
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "print(best_c)\n",
    "plot(test_curve$center_range, abs(test_curve$diff), type = 'l')\n",
    "abline(v = best_c)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We need to calculate the stastical significance of the hole we just detected. To do this, we will simulate the fraction of observations in the center for a random normal, 1000 times. We will then compare the test value to this distribution to see if it is a significant outlier."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 107,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "HoleSig <- function(best_c, obs, n_sims) {\n",
    "    #\n",
    "    # function to compute the evidence for a hole of width best_c in a normal distribution\n",
    "    #\n",
    "    # Dependencies:\n",
    "    #    function: NormStat\n",
    "    # \n",
    "    # Args:\n",
    "    #    best_c: the candidate hole width\n",
    "    #    obs: samples drawn from the candidate \"hole-y\" distribution\n",
    "    #    n_sims: number of simulations to perform\n",
    "    # Returns:\n",
    "    #    sims: vector of simulated statistic values\n",
    "    \n",
    "    i <- 0\n",
    "    sims <- c()\n",
    "    \n",
    "    for (i in (1:n_sims)) {\n",
    "        sims[i] <- NormStat(rnorm(length(obs)), best_c)$output\n",
    "    }\n",
    "    \n",
    "    return(sims)\n",
    "}"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 200,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[1] \"Significance Levels:\"\n",
      "    0.1%       1%       5% \n",
      "0.063994 0.070000 0.082000 \n",
      "[1] \"Test Statistic:\"\n",
      "[1] 0.018\n"
     ]
    }
   ],
   "source": [
    "my_sims <- HoleSig(best_c, sample, 1000)\n",
    "print('Significance Levels:')\n",
    "print(quantile(my_sims, c(0.001,0.01,0.05))) #display the 3-sigma significance level \n",
    "print('Test Statistic:')\n",
    "print(test_statistic)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The test statistic of 0.018 is much less than the 0.1% simulated value of 0.068. Thus, we can say with over 3-sigma certainty that we have a hole in the center of this distribution with a width of $\\approx 0.13$. The previous simulation assumes a hole that is centered about 0. If we cannot assume that the hole is centered, then we must additionally search for the hole center location using a grid search."
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "R",
   "language": "R",
   "name": "ir"
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  "language_info": {
   "codemirror_mode": "r",
   "file_extension": ".r",
   "mimetype": "text/x-r-source",
   "name": "R",
   "pygments_lexer": "r",
   "version": "3.3.1"
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 },
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