bernoullicharts/1_1_x_two-coin_special_case__mean.svg

<?xml version="1.0" encoding="utf-8" standalone="no"?>
<!DOCTYPE svg PUBLIC "-//W3C//DTD SVG 1.1//EN"
  "http://www.w3.org/Graphics/SVG/1.1/DTD/svg11.dtd">
<!-- Created with matplotlib (https://matplotlib.org/) -->
<svg height="345.6pt" version="1.1" viewBox="0 0 460.8 345.6" width="460.8pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink">
 <defs>
  <style type="text/css">
*{stroke-linecap:butt;stroke-linejoin:round;}
  </style>
 </defs>
 <g id="figure_1">
  <g id="patch_1">
   <path d="M 0 345.6 
L 460.8 345.6 
L 460.8 0 
L 0 0 
z
" style="fill:#ffffff;"/>
  </g>
  <g id="axes_1">
   <g id="patch_2">
    <path d="M 57.6 307.584 
L 414.72 307.584 
L 414.72 41.472 
L 57.6 41.472 
z
" style="fill:#ffffff;"/>
   </g>
   <g id="matplotlib.axis_1">
    <g id="xtick_1">
     <g id="line2d_1">
      <defs>
       <path d="M 0 0 
L 0 3.5 
" id="m1e4881ce14" style="stroke:#000000;stroke-width:0.8;"/>
      </defs>
      <g>
       <use style="stroke:#000000;stroke-width:0.8;" x="73.800255" xlink:href="#m1e4881ce14" y="307.584"/>
      </g>
     </g>
     <g id="text_1">
      <text style="font-family:DejaVu Sans;font-size:10px;font-style:normal;font-weight:normal;text-anchor:middle;" transform="rotate(-0, 73.800255, 322.182437)" x="73.800255" y="322.182437">0.0</text>
     </g>
    </g>
    <g id="xtick_2">
     <g id="line2d_2">
      <g>
       <use style="stroke:#000000;stroke-width:0.8;" x="138.744153" xlink:href="#m1e4881ce14" y="307.584"/>
      </g>
     </g>
     <g id="text_2">
      <text style="font-family:DejaVu Sans;font-size:10px;font-style:normal;font-weight:normal;text-anchor:middle;" transform="rotate(-0, 138.744153, 322.182437)" x="138.744153" y="322.182437">0.2</text>
     </g>
    </g>
    <g id="xtick_3">
     <g id="line2d_3">
      <g>
       <use style="stroke:#000000;stroke-width:0.8;" x="203.688051" xlink:href="#m1e4881ce14" y="307.584"/>
      </g>
     </g>
     <g id="text_3">
      <text style="font-family:DejaVu Sans;font-size:10px;font-style:normal;font-weight:normal;text-anchor:middle;" transform="rotate(-0, 203.688051, 322.182437)" x="203.688051" y="322.182437">0.4</text>
     </g>
    </g>
    <g id="xtick_4">
     <g id="line2d_4">
      <g>
       <use style="stroke:#000000;stroke-width:0.8;" x="268.631949" xlink:href="#m1e4881ce14" y="307.584"/>
      </g>
     </g>
     <g id="text_4">
      <text style="font-family:DejaVu Sans;font-size:10px;font-style:normal;font-weight:normal;text-anchor:middle;" transform="rotate(-0, 268.631949, 322.182437)" x="268.631949" y="322.182437">0.6</text>
     </g>
    </g>
    <g id="xtick_5">
     <g id="line2d_5">
      <g>
       <use style="stroke:#000000;stroke-width:0.8;" x="333.575847" xlink:href="#m1e4881ce14" y="307.584"/>
      </g>
     </g>
     <g id="text_5">
      <text style="font-family:DejaVu Sans;font-size:10px;font-style:normal;font-weight:normal;text-anchor:middle;" transform="rotate(-0, 333.575847, 322.182437)" x="333.575847" y="322.182437">0.8</text>
     </g>
    </g>
    <g id="xtick_6">
     <g id="line2d_6">
      <g>
       <use style="stroke:#000000;stroke-width:0.8;" x="398.519745" xlink:href="#m1e4881ce14" y="307.584"/>
      </g>
     </g>
     <g id="text_6">
      <text style="font-family:DejaVu Sans;font-size:10px;font-style:normal;font-weight:normal;text-anchor:middle;" transform="rotate(-0, 398.519745, 322.182437)" x="398.519745" y="322.182437">1.0</text>
     </g>
    </g>
    <g id="text_7">
     <text style="font-family:DejaVu Sans;font-size:10px;font-style:normal;font-weight:normal;text-anchor:middle;" transform="rotate(-0, 236.16, 335.860562)" x="236.16" y="335.860562">Input Coin's Heads Probability (λ)</text>
    </g>
   </g>
   <g id="matplotlib.axis_2">
    <g id="ytick_1">
     <g id="line2d_7">
      <defs>
       <path d="M 0 0 
L -3.5 0 
" id="me852a6b26b" style="stroke:#000000;stroke-width:0.8;"/>
      </defs>
      <g>
       <use style="stroke:#000000;stroke-width:0.8;" x="57.6" xlink:href="#me852a6b26b" y="287.986605"/>
      </g>
     </g>
     <g id="text_8">
      <text style="font-family:DejaVu Sans;font-size:10px;font-style:normal;font-weight:normal;text-anchor:end;" transform="rotate(-0, 50.6, 291.785823)" x="50.6" y="291.785823">0.5</text>
     </g>
    </g>
    <g id="ytick_2">
     <g id="line2d_8">
      <g>
       <use style="stroke:#000000;stroke-width:0.8;" x="57.6" xlink:href="#me852a6b26b" y="241.102884"/>
      </g>
     </g>
     <g id="text_9">
      <text style="font-family:DejaVu Sans;font-size:10px;font-style:normal;font-weight:normal;text-anchor:end;" transform="rotate(-0, 50.6, 244.902102)" x="50.6" y="244.902102">0.6</text>
     </g>
    </g>
    <g id="ytick_3">
     <g id="line2d_9">
      <g>
       <use style="stroke:#000000;stroke-width:0.8;" x="57.6" xlink:href="#me852a6b26b" y="194.219163"/>
      </g>
     </g>
     <g id="text_10">
      <text style="font-family:DejaVu Sans;font-size:10px;font-style:normal;font-weight:normal;text-anchor:end;" transform="rotate(-0, 50.6, 198.018382)" x="50.6" y="198.018382">0.7</text>
     </g>
    </g>
    <g id="ytick_4">
     <g id="line2d_10">
      <g>
       <use style="stroke:#000000;stroke-width:0.8;" x="57.6" xlink:href="#me852a6b26b" y="147.335442"/>
      </g>
     </g>
     <g id="text_11">
      <text style="font-family:DejaVu Sans;font-size:10px;font-style:normal;font-weight:normal;text-anchor:end;" transform="rotate(-0, 50.6, 151.134661)" x="50.6" y="151.134661">0.8</text>
     </g>
    </g>
    <g id="ytick_5">
     <g id="line2d_11">
      <g>
       <use style="stroke:#000000;stroke-width:0.8;" x="57.6" xlink:href="#me852a6b26b" y="100.451721"/>
      </g>
     </g>
     <g id="text_12">
      <text style="font-family:DejaVu Sans;font-size:10px;font-style:normal;font-weight:normal;text-anchor:end;" transform="rotate(-0, 50.6, 104.25094)" x="50.6" y="104.25094">0.9</text>
     </g>
    </g>
    <g id="ytick_6">
     <g id="line2d_12">
      <g>
       <use style="stroke:#000000;stroke-width:0.8;" x="57.6" xlink:href="#me852a6b26b" y="53.568"/>
      </g>
     </g>
     <g id="text_13">
      <text style="font-family:DejaVu Sans;font-size:10px;font-style:normal;font-weight:normal;text-anchor:end;" transform="rotate(-0, 50.6, 57.367219)" x="50.6" y="57.367219">1.0</text>
     </g>
    </g>
    <g id="text_14">
     <text style="font-family:DejaVu Sans;font-size:10px;font-style:normal;font-weight:normal;text-anchor:middle;" transform="rotate(-90, 28.617187, 174.528)" x="28.617187" y="174.528">Simulated Mean / Function Value</text>
    </g>
   </g>
   <g id="line2d_13">
    <path clip-path="url(#p1d85794116)" d="M 73.832727 53.614879 
L 77.112066 58.30139 
L 80.391405 62.895126 
L 83.670744 67.398816 
L 86.950083 71.81508 
L 90.229421 76.14644 
L 93.50876 80.395321 
L 96.788099 84.564058 
L 100.067438 88.654895 
L 103.346777 92.669998 
L 106.626116 96.611448 
L 109.905455 100.481256 
L 113.184793 104.281355 
L 116.464132 108.013614 
L 119.743471 111.679833 
L 123.02281 115.281748 
L 126.302149 118.821038 
L 129.581488 122.299321 
L 132.860826 125.718162 
L 136.140165 129.07907 
L 139.419504 132.383507 
L 142.698843 135.632883 
L 145.978182 138.828564 
L 149.257521 141.97187 
L 152.53686 145.064077 
L 155.816198 148.106422 
L 159.095537 151.100101 
L 162.374876 154.046272 
L 165.654215 156.946058 
L 168.933554 159.800545 
L 172.212893 162.610787 
L 175.492231 165.377804 
L 178.77157 168.102586 
L 182.050909 170.786093 
L 185.330248 173.429255 
L 188.609587 176.032976 
L 191.888926 178.598132 
L 195.168264 181.125573 
L 198.447603 183.616125 
L 201.726942 186.07059 
L 205.006281 188.489747 
L 208.28562 190.874351 
L 211.564959 193.225139 
L 214.844298 195.542823 
L 218.123636 197.8281 
L 221.402975 200.081642 
L 224.682314 202.304108 
L 227.961653 204.496136 
L 231.240992 206.658345 
L 234.520331 208.791342 
L 237.799669 210.895714 
L 241.079008 212.972032 
L 244.358347 215.020856 
L 247.637686 217.042726 
L 250.917025 219.038172 
L 254.196364 221.007708 
L 257.475702 222.951835 
L 260.755041 224.871042 
L 264.03438 226.765806 
L 267.313719 228.63659 
L 270.593058 230.483846 
L 273.872397 232.308016 
L 277.151736 234.109529 
L 280.431074 235.888806 
L 283.710413 237.646255 
L 286.989752 239.382276 
L 290.269091 241.097258 
L 293.54843 242.791581 
L 296.827769 244.465616 
L 300.107107 246.119726 
L 303.386446 247.754264 
L 306.665785 249.369575 
L 309.945124 250.965998 
L 313.224463 252.54386 
L 316.503802 254.103484 
L 319.78314 255.645185 
L 323.062479 257.169269 
L 326.341818 258.676038 
L 329.621157 260.165783 
L 332.900496 261.638792 
L 336.179835 263.095346 
L 339.459174 264.535719 
L 342.738512 265.960178 
L 346.017851 267.368987 
L 349.29719 268.762401 
L 352.576529 270.140672 
L 355.855868 271.504046 
L 359.135207 272.852761 
L 362.414545 274.187054 
L 365.693884 275.507155 
L 368.973223 276.813289 
L 372.252562 278.105676 
L 375.531901 279.384532 
L 378.81124 280.650069 
L 382.090579 281.902493 
L 385.369917 283.142008 
L 388.649256 284.368812 
L 391.928595 285.583099 
L 395.207934 286.785061 
L 398.487273 287.974883 
" style="fill:none;stroke:#1f77b4;stroke-linecap:square;stroke-width:1.5;"/>
   </g>
   <g id="line2d_14">
    <path clip-path="url(#p1d85794116)" d="M 73.832727 53.568 
L 77.112066 58.256372 
L 80.391405 66.695442 
L 83.670744 67.633116 
L 86.950083 76.072186 
L 90.229421 71.383814 
L 93.50876 82.635907 
L 96.788099 80.760558 
L 100.067438 83.573581 
L 103.346777 92.012651 
L 106.626116 89.199628 
L 109.905455 99.514047 
L 113.184793 102.32707 
L 116.464132 106.077767 
L 119.743471 119.205209 
L 123.02281 102.32707 
L 126.302149 101.389395 
L 129.581488 109.828465 
L 132.860826 119.205209 
L 136.140165 122.955907 
L 139.419504 127.644279 
L 142.698843 140.771721 
L 145.978182 135.145674 
L 149.257521 141.709395 
L 152.53686 146.397767 
L 155.816198 137.958698 
L 159.095537 159.525209 
L 162.374876 157.64986 
L 165.654215 141.709395 
L 168.933554 155.774512 
L 172.212893 163.275907 
L 175.492231 168.901953 
L 178.77157 169.839628 
L 182.050909 171.714977 
L 185.330248 166.08893 
L 188.609587 188.593116 
L 191.888926 186.717767 
L 195.168264 187.655442 
L 198.447603 183.904744 
L 201.726942 207.346605 
L 205.006281 200.782884 
L 208.28562 192.343814 
L 211.564959 188.593116 
L 214.844298 196.094512 
L 218.123636 188.593116 
L 221.402975 209.221953 
L 224.682314 198.907535 
L 227.961653 205.471256 
L 231.240992 210.159628 
L 234.520331 210.159628 
L 237.799669 212.034977 
L 241.079008 209.221953 
L 244.358347 201.720558 
L 247.637686 222.349395 
L 250.917025 228.913116 
L 254.196364 221.411721 
L 257.475702 221.411721 
L 260.755041 236.414512 
L 264.03438 238.28986 
L 267.313719 232.663814 
L 270.593058 230.788465 
L 273.872397 236.414512 
L 277.151736 228.913116 
L 280.431074 229.850791 
L 283.710413 232.663814 
L 286.989752 231.72614 
L 290.269091 245.791256 
L 293.54843 241.102884 
L 296.827769 247.666605 
L 300.107107 235.476837 
L 303.386446 270.170791 
L 306.665785 250.479628 
L 309.945124 244.853581 
L 313.224463 259.856372 
L 316.503802 254.230326 
L 319.78314 261.731721 
L 323.062479 253.292651 
L 326.341818 262.669395 
L 329.621157 253.292651 
L 332.900496 285.173581 
L 336.179835 258.918698 
L 339.459174 275.796837 
L 342.738512 285.173581 
L 346.017851 258.918698 
L 349.29719 277.672186 
L 352.576529 272.04614 
L 355.855868 277.672186 
L 359.135207 272.04614 
L 362.414545 285.173581 
L 365.693884 269.233116 
L 368.973223 275.796837 
L 372.252562 286.111256 
L 375.531901 259.856372 
L 378.81124 260.794047 
L 382.090579 288.924279 
L 385.369917 287.986605 
L 388.649256 295.488 
L 391.928595 282.360558 
L 395.207934 292.674977 
L 398.487273 269.233116 
" style="fill:none;stroke:#ff7f0e;stroke-linecap:square;stroke-width:1.5;"/>
   </g>
   <g id="patch_3">
    <path d="M 57.6 307.584 
L 57.6 41.472 
" style="fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;stroke-width:0.8;"/>
   </g>
   <g id="patch_4">
    <path d="M 414.72 307.584 
L 414.72 41.472 
" style="fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;stroke-width:0.8;"/>
   </g>
   <g id="patch_5">
    <path d="M 57.6 307.584 
L 414.72 307.584 
" style="fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;stroke-width:0.8;"/>
   </g>
   <g id="patch_6">
    <path d="M 57.6 41.472 
L 414.72 41.472 
" style="fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;stroke-width:0.8;"/>
   </g>
   <g id="text_15">
    <text style="font-family:DejaVu Sans;font-size:12px;font-style:normal;font-weight:normal;" transform="translate(47.746875 22.034625)">Simulated Mean for 1/(1+x) (Two-Coin Special Case) Algorithm</text>
    <text style="font-family:DejaVu Sans;font-size:12px;font-style:normal;font-weight:normal;" transform="translate(132.609375 35.472)">(Wasserstein Distances in Legend)</text>
   </g>
   <g id="legend_1">
    <g id="patch_7">
     <path d="M 229.47 78.82825 
L 407.72 78.82825 
Q 409.72 78.82825 409.72 76.82825 
L 409.72 48.472 
Q 409.72 46.472 407.72 46.472 
L 229.47 46.472 
Q 227.47 46.472 227.47 48.472 
L 227.47 76.82825 
Q 227.47 78.82825 229.47 78.82825 
z
" style="fill:#ffffff;opacity:0.8;stroke:#cccccc;stroke-linejoin:miter;"/>
    </g>
    <g id="line2d_15">
     <path d="M 231.47 54.570437 
L 251.47 54.570437 
" style="fill:none;stroke:#1f77b4;stroke-linecap:square;stroke-width:1.5;"/>
    </g>
    <g id="line2d_16"/>
    <g id="text_16">
     <text style="font-family:DejaVu Sans;font-size:10px;font-style:normal;font-weight:normal;text-anchor:start;" transform="rotate(-0, 259.47, 58.070437)" x="259.47" y="58.070437">1/(1+x)</text>
    </g>
    <g id="line2d_17">
     <path d="M 231.47 69.248562 
L 251.47 69.248562 
" style="fill:none;stroke:#ff7f0e;stroke-linecap:square;stroke-width:1.5;"/>
    </g>
    <g id="line2d_18"/>
    <g id="text_17">
     <text style="font-family:DejaVu Sans;font-size:10px;font-style:normal;font-weight:normal;text-anchor:start;" transform="rotate(-0, 259.47, 72.748562)" x="259.47" y="72.748562">Simul. Mean (WD=0.005739)</text>
    </g>
   </g>
  </g>
 </g>
 <defs>
  <clipPath id="p1d85794116">
   <rect height="266.112" width="357.12" x="57.6" y="41.472"/>
  </clipPath>
 </defs>
</svg>