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@bnaul
Created November 3, 2016 00:00
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{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Bayesian Inference for the Mining Disaster Data Set\n",
"\n",
"A model for annual coal mining disaster rates with a changepoint $\\tau$:\n",
"\n",
"$$D_t \\sim \\text{Poisson}\\left(\\begin{cases}\n",
"\\mu_1 & t \\leq \\tau \\\\\n",
"\\mu_2 & t > \\tau\n",
"\\end{cases}\n",
"\\right)$$"
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"import pymc3 as pm\n",
"import numpy as np\n",
"import matplotlib.pyplot as plt\n",
"%matplotlib inline\n",
"import seaborn as sns"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
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SUvAAAAA2HQhQR6jCx0cTEnfBjzpMI+qKbEIKO609r0RA9TW26nlXf69vtC54x22YUkRA\nAQAAbDgQoI5QBZFqhvEBETgLBp6EVKkB7TIJyTYCqlyH6YARUKnd1EjfiH7qoDl+gjZMAAAANhwI\nUAdM52klsnXocQ1oGJaTkAZpwyS54INOa6tmIpMAXWcElEcmw7A6ipPIkQseAhQAAMCGAwHqAF26\n3fcUfJdm8F1J1RrQqP3alRS8hy54tdZVEI3C4r9hQgIAAAAgQJ3ARc+F/XHla76QMROSEKBplvfe\nrF1tRC9S8G3WVlPpOgGapBmdzuSfmw+YgldLDTgiCurEhMRHcWaIgAIAANg8IEAdwMXQoy7tEpGn\nAnSp9ULWB5RIjlD2s65sQuqyto0JSfe1IdswJYYIKFFZBwoTEgAAAAAB6gQufB51w17la76QsUlI\n3CTTdx2hFAEdBZ3WtqkB1UVFh2zDpE584ggnvJsUPGpAAQAAbDYQoA7gYkgI0JNp4l16VE7BlxG6\nvqNo/Dyo0VfbtdVUuk6A6r42ZA2oWmrA6SsFn+dIwwMAANg8IEAdIIRPHIV06WBSfN23KGjpgi9r\nQIkGiIBWXPAdIqAWk5C0EVAHbY9skYR2JQXvMgKa1/43AAAA4DsQoA4QYuhgN6b93bj8umd1oDoX\nPNHAArSj+BWRQxFZPDpJKgYm3vpK/JyLmktb+OuMVAEaixpQt5OQiDANCQAAwOYBAeoAEQHd34no\ngAlQ34xIuSEFn/aeglcFaPu1hZC8eLDoMpDlOZ1M9c3/R2FAB3uL6zBoCt7ChOTieBABBQAAsOlA\ngDpACJ9FBDSqfN0XuAt+bSakMOy09nSZur50bqf4mjr1iD8ITIqU94ApeEMjeiKi2OHxqBFPGJEA\nAABsGhCgDhCp3/3d2OsIqDAhBYGcIh7UhBQGrdfO8rwQWZfOsRpb5fwesesQx+4ijrZI7aYqLnh3\nbZjmEKAAAAA2nKj5R0ATR0XkLabdSURBsHAn64wy62RdJqRMNSFF7dbmoq1OgBYR0N24iBIOWgNa\n44IvTEiO+4ASIQUPAABg80AE1AFCCB3sxhQGAe3vLKKg3kVAPTAhRWwSku3aPG3NBah6fovrsBMz\n17knk5BERNbB8ajnDBFQAAAAmwYE6IrkeV60WxL1n8IJ750LfqlTKn1Ae56ExAVol7VNEVBVgB6e\nlNdhHSn4dZmQ+p5kBQAAALgGAnRFTqZpIQAOlpHPg52FEFVNMuuGT0LiEdC+2/jIwixsvTYXbTvj\niHYni+im2meVt8MSEdD5oBFQswmpOB4nKXj5bwxZZgAAAAC4AAJ0RXidpzAgeRsBZSn40ZCTkJhg\nWozibLc2T1tP4tBY4sBrccfriICmzSYkFyl41YSEPqAAAAA2DQjQFeEiSAhP72tA1zQJKaCF+I1b\nrs1FZByNSoHPxP9snhY/t4iArjcFrzaij5kJSW2g33od1YSEFDwAAIANAwJ0RbgIEsLoQCOQfECe\nBT+8C15EPtv2AeVp9HEUFueXC3z1QcBl301bakdxxu7ON0xIAAAANh0I0BXhwuegEKBR5Xs+wBvR\nRwOm4EWEbrR0v7dde8qimOM4pP1ljS0vceD1oAc7kdO+m7bYmJCIyqb6XVEjnn1PsgIAAABcAwG6\nInzakRBGIhI6m2dOZn+7ohjFqbRh6t2EtPz7IirYdu25koIvIszs3KsR0LLv5nDnP1PMVhxxPESr\ni+JE+X21JhQAAADwHQjQFRFRuJ3xqBBW8jQkf5zwogY0COUIXd8RULGuWLPt2jyNPjaYkI6USHRR\nA7pitLENdRHQmEVAVxXFSYYUPAAAgM0GAnRFDpnzWrDPBKhPTnjugg9YGn6oWfCiBrTt2jxiyGtA\nj6dJEXU8VGpxx/Ei4phmuVSb2SepMvGJI46HaHVRXOkDihQ8AACADQMCdEUOWe9JwQEToz4ZkbgJ\niag0Aw3lgudRwTZriwhoQIv0PT/X4vwKoR+NQhpHoRxxHCgKyssJqn1A3UVA1bIFREABAABsGhCg\nKyLqEIXxiKiciETklxGJm5CIylZBvfcB1QjQNmuLVkpxHFIQBNrzy69DEASS4BvKiFS0mwrKcyzg\ngnjuOAKKWfAAAAA2DQjQFSlS8Cwqty9FQD2qAS0ioIv/FjWrak2ha1LFBd92bSFAhZFHKnFYnl9x\nHUR0VEp5D2REyjSvUzBxeDxowwQAAGDTgQBdEZEC5qJoZzwqon1eRUCZC56obIfUdw2hSBlLEdAW\na4sUvGitxEscxPlVa3HXEQFNlH6nHJclARCgAAAANh0I0BU50piQgiDQNktfN3wSElEZhey7jU+m\nS8G3WFsIyFgXARUpeKUWd501oKOgKkB5RHblNkyqCQmTkAAAAGwYEKArkGU5HZ+K2sNY+p6P8+C5\nC56oFIG99wHVRAbbrC1S1iKqubcTkfhLR2oEdFkfupYUfG6OgDo1IaENEwAAgA0HAnQFjqcJidgT\nNyERLabxEHkWAV3qlNIFP4wJKVHc923XFhFMkYIPg4D2xPlVXPBC+MuCb6gIaDXSK3CbgocJCQAA\nwGYDAboC0vSdHf8joLkhAjrYLHidCalFCp5PE+LTkPI8L8xIRQpe6rs5TARU5/YXBEFQiNBVIqB5\nnlcmISECCgAAYNOAAF0B3Rx4QSFAfXTBL/WRaIW0HhOSSMHbtGFaCDYeReQ1tqeztBB/6zQh6dz+\nHHFMqxxPlueknjEIUAAAAJsGBOgKqOMfOb6ZkHImXAJhQoqGMSGluc6EFFivXabgy6jmPju/uuvA\no6WDmZBqXPBE5fGvcjy6dDsmIQEAANg0IEBXQErBqxHQZY3i0em8SH2vk4wdw+AmJE1t5ComJKIy\n0nl0OpfHcO4IE5I7048t4rWoU5AELlLwuvOFCCgAAIBNAwJ0BUR6PSCivYliQloK0iTNaTpQDWId\n3DhdmJCGnoQ0Kt9ubdYua0CZAF2avo5O5tpSiFEYkOiGNFQEVNduijMuBKjbCChMSAAAADYNCNAV\nEMJnbyeqRL14St6HNHyW8Qjo4v+HmoSkzqBvu7YwEcUaE9LhaVKM4eRfD4KgSHnPh4qANtWAFin4\n7seji3YiAgoAAGDTgABdAbX1D0cax3myfiOSPgU/VAR0IZAinQBtMQuep9WF0JzOUrp6OC2+zq+F\ni4hjGxLLCOgqJiQuNkWEFwIUAADApgEBugLq9B2OFAE99SACygVoOGwbJlEDGmpMSDZrz3QpeCbw\n77tyQkREk/GoeE38531JwYsIrqsU/M54UYaQYBISAACADQMCdAXU+eMc3bjIdSKl4CsCtOcIqNYF\nb7d2nuc0n8ujOIlkgX/flePF13bkOtzBU/Ci3ZTRBS8EsZsU/M54JK0LAAAAbAoQoCsgUuvqFCT1\na14IUKbzRApeCKXBXPDchGS5dprlRfR2oknBExHd99AiAqqWQsQDp+BTTa0rx0VJAJ/7LgToPEEE\nFAAAwGYBAboCdRHQOBoVES/vTEhDp+CXNaCjQBcBrV+bp895BHSfRTsfunZKRNVSCNELdOhJSJHB\nhCSOf5UaUP67k2WEV50NDwAAAPgOBOgKHNbUgBLxXpXrNyHluc4FP4wJKdM0aLdNwfP0OTch8Win\n+Avqg0CR8vYlAuogBZ9qUvAwIQEAANg0IEA7kqQZTWcLIaFzwRP5NQ1JbsM0bARU5w63NSFNmXjk\n0412xqOK2ccUAR1uFGd15KjueFYyIWUaExL6gAIAANgwIEA7ciRNQarWgBKVgsiPGtBSpARDm5C0\nLnjLCCiLFsYsAhoEQXX6lHIdihrQgVLwukgvp2zDBBMSAACA7QYCtCO66Tsqok7RjzZM5b+LCGhY\nGoH6HBeqa09ku/ZMioDKb1f1vB+sOwUvzFaBoQ1TvHpbKD73fSJMSIiAAgAA2DAgQDvC6zp1JiQi\nnoJffw1oKpmQFv8vXOk5yRHSvtaWXfB2a/PoJU/BE8lGJKJqKYSLlHcb0sYI6Kj4ua7GoXmqMSEh\nAgoAAGDDgADtiFUE1KMUfM4E6EiZhERElPTYykdXGxmzaGbd2rx+k5uQiKrn3diGaWAXvHEUJ3vN\nXaOguhQ8akABAABsGhCgHTmySsELF/y81wijDXWTkIj6NSKlmhQ8/3fdPHgevYyVFLwqOCsmpHj1\n0ZdtEELb5ILnNaxdjynVTELK8lwymQEAAAC+AwHaEVHXOQqDIhKlIgRRnhOdTNebhpdMSMFwAjTL\ncxJL6yYhLdbuloJXaz7VlHyZgh86AqoXoBN2/F2jsvw6Tdj7Dr1AAQAAbBIQoB0pm9BHhaBT2fdo\nGhLXJ2UElEUhe0rj8oidrg3T4mfsIqBqCl51vVfbMC0joPN+TVaCphpQHgHtWpcqrtMoDCge8Ygq\nIqAAAAA2BwjQjogxnKYeoESyIFq3EUlKwRejOAeIgPLaU40JqWntuaEPKFH13KtmsHhp0skb1nBF\nmtZHQPnxd03BJ2zevPQAgQgoAACADaKzAL3zzjvpta99rctj2ShERNNWgB6tuRVTpnHByxHQfgQM\nTw1LJiQevatLwS/T56MwqNRW8hT83iSqfF8y/QxQB5o1mZBYBHS6Ygo+CkOpjCGFEQkAAMAG0UmA\n/vEf/zG9//3vd30sG4VIwat1iBwekVv3NKRcEwGNLeswVyHRzKAnapGCX7rFx3G1zpYLfJ0RjP/O\nKr03bWmqAY0dRECLefOjQEr1YxwnAACATaK1AL169Srdfffd9IxnPKOP49kYRETTNAVJ/d66Bahu\nFOfgKXjugrc1IS0joGoTeiI5+qy7DrEUAe3fiNQ8inP14ykioFGoPEBAgAIAANgczOrJwM///M/T\nt33bt9H999/fx/FsDEUEtCYFPwpD2p1EdDJN1m9CYhovWJsJqRRMtun/+TJyqbZgIpLPva4UYsJ+\nZ+5BBNRFRFb0TI3C0FrEAwAAAL7RKgL6wQ9+kO655x76wR/8wb6OZ2MQk5DqBChR2RroqKMJKUkz\n6x6PdTPGpUlIS30UhbyG0E4Q5XneKn2c5gYXvOXaIlI40aTgedsl3XWIueBrccxJmtGV69PK/+rO\nr9RuamSoAbWIgKZZVttSSZiNKiYkBxHQprUBAMAVi3tJ/5mpNvdQMCzWEdDZbEY/9VM/RW984xtp\nPB53XtB0c94kpvO0EGHn9sYUaaJzgnN7Y7p89ZSOp0ntz+k4mSb02l/7IMXxiN5053MqLnDOu//o\nY/SXH/0K/W8v+1p62hNvqHw/YEuP4xFFUUiTCesjmVfHZapkeU5v+j/voS9dPqKf/Z+eQ4+4uNv4\nGniHqvE4LM4BXzsjMp4bEdkTx8yJopDGUUizJNNeh91J+fZOs8zq/J9ME3rtv/ogPXRtWvne/m68\neN0XdirfmysN83Vr7Qb8ePLKzxyfJvS6f/VBiqOQ3vT9zy2ut7gmo1FYbKRxFEp9QInM59AG09qg\nHn5tgH/g+vhJnuf0pv9rcS950/c/ly4dTHpZR+zncTSin7vzudpMGqgy1OfFWoC+4x3voNtvv52e\n97znrbTg+fPNosV30iynS+cmdOX6lJ5526Po0qV948+e21+I9TSn2p/T8flPPUAPXV8IoSvHCd32\nhPPGn/3Qx++neZLRJ790nZ53x+Mq39/bu1b8+9Klfbp0aY9meakOx5NFBLHu+jxw5YQ++YWri2N7\n8ISecssjGl/DtdPyCffi+b3iHPC1d3bHxnOTLxXs3m6s/ZmnPP4S/cM/PUi3P/kRle8fs96Y4x3z\nGpzPf+oBrfgkWnQ++PzlY3rKE2+sfO+UDRo4d27HuFYYBpRlOY2iqPIzn/7E/cX1vnaa0lMeJ1/v\n8+d3KRwthOFkHNEN7Pd39yat319t1gb1nIV97SyD6+MXV66f0j9+/mEiIvrMfYf0pMdVgyYu4Pv5\ntWlKT77pXC/rgG5YC9A/+ZM/oQcffJDuuOMOIiKazxc1jX/6p39Kf/M3f2O94LVrJ9bpXp/5me97\nNl07ntON+zFduXJk/LlsmdI8nc5rf07HlYdPin9/5f7r9Kjz+qfEJM2KSUtHxzPtOteunxb/vn7t\nhMZBTkeHpdC6vvx+3fX50n3XpZ+3eT1XHj4u/n18PC1+h6999eqJ8W8dHc+IaFErovuZV/0PX0Nf\nunxET3rlCHTOAAAgAElEQVTM+cr3T47KNR56+NjyeMtz/p0veSpdPDehJMno1/7wH4hocX50f4e3\n2Zqe6q8B0SINfzpL6er16t/5ygPl+X3woSN6xMHi4WU0Cun8+V26du2Ejk8X5yMgouMOr8+EaW1Q\nD782Z2FfO2vg+vjJA1fKffbqNbt7SRf4fv7ww8d0Zb++ZA4sEJ+bvrEWoO95z3soScooz913301E\nRK9+9atbLZimGSUDzebuk/2dmPZ34sbXIhznSYfXPZ2V5/vq4dT4+1ePZsW/50mq/Tn+tSzLF//N\n6jPFaMi663P1eil4ZoZ1VKSRkzk7Drb2dG7+W9PZ4vejUaD9mXgU0hMedW5pdpLrfLgX6HSaWB0v\nP+df86Qb6aaLu1J9pelYxXESkfw6FYQAnc6qf+cau44nmuNN06wwU6lGp5nm77WhaW1Qz1nZ184q\nuD5+ccwe2E9n/e03fD+f1dxnwHqwFqCPfvSjpf/e31+k+x73uGq6F5QIodClUTj/nbpJSrzFU2oo\nts40/Tht57ELhPFKPbY6JBf8iPcBtWshJMxDuj6gTciuc7tid3684hi52DOdJ9PEJ5VFL9C5thE9\nv44ml7w0CSl0Z0KyWRsAAFzATaF97jd8P8ewDv9ARW7PFAK0gwuPi4q6Nk78eya3nzyKc/H/tiJQ\ncGixjgp3VYeBSYA29wHtUjwed5iExM+DEMxBUDrOTWk808x7FTENSddJgF9Hk0veNAlp1VGcNmsD\nAIAL+P7X55Q6vp/zjizAD1r3ARW8+c1vdnkcZxYRDesmQFkEtGaUJxcPpqc8XQS07SQdm0irSprp\nI6C2a4uU86SDKzsMAopGISVpZt06ip9z3ipqNAopSVPjsUpCu06ALl+H7qmfX2NT39KETUJyOYrT\nZm0AAHABf8jtsxVTggio1yAC2jNlBLT9TZ1HteoioFw8mNbJNKM4wyAojs8uBd+8jkpqmITE167b\nGIoIaNztrTpZ/p5tCp6f8zjifUvrzxN/nVGNABWvQxdl5L1iTVEBEYGNolDqAzpfMQVvszYAALiA\nP4BPe3zg5fs5ehz7BwRoz4hoWJdGuLxguj4Fz2ozDevw7ANPhYtI5CARUEWY2axdzILv2L9NpOGt\nU/Ds56TJTcu/Y46A2qXgxXQmXUT20CINPmeTkJxGQJGCBwAMhBQBtQwOdEE13wK/gADtmWilGlB3\nJiRpEhK76iLNbCNAJaHbxYQUym83m7VXMSERlSlv27SyOOdhEEip9PJYDec3rZY46IiLFLwuAtqc\nBhdP8dFocXziWWJVE5LN2gAA4AK+x/RbA8pS8BCg3gEB2jNCdHVywfMUfF0N6Gm3GlAiHtlrPj45\n1d/BhKQIs6a1szwvhFXXCRYi5T21jOpxgScdq4jWWpQ41Lnga01IvJdogwlJrCGioCsLUIu1AQDA\nBbILvr/9ht9/UAPqHxCgPRM6i4DW1IByd7rB6aerASViwsoqAtreBZ8ZTEg2a3OR1jUFX0RAW5qQ\nVBEphN6qLnghpNW6pyzL6Zi1uTKakNLShCQfV/fN1XZtAABwAU/BIwK6vUCA9owQXZ1MSEzsnM7M\nDmzZBa//mXz54Qto0VZI0C4FX65j2/anzpwTNUSH+ZNx9xR8SxOSiLhWxHJDCp6dj/o2TEIQy8dz\ndDqX2ug3mpCKCOhirVVMSLZrAwCAC6QUfJ81oLwNE0xI3gEB2jOu+oASyY3gOYcWJiTxZTUNXgjk\nhghanudyI/oOJiTT2iYx6yICWrrO2/UBrUZA66O1tiakscEUpV5bowmpiIDKKfhVIqC2awMAgAum\ng0VAuQBFBNQ3IEB7ZrSKC14RFaY0/JFFbaZIwfPoJ5F9DeHJNJX+tn0j+hoTUsPafGOKO/QBJSr7\nh9o6LdUUt2DUGAFdzYSkXlujCamIgC57uYb2JRQmbNcGAAAXDBcBRQreZyBAe6YQCB3e/Go63dSK\n6ajFKE5FAxYisCmFq5qg7F3w1clC6tomUcc3pknHPqBtI6BqilvQGAGVRo6aj3ViMCGp19Z0vEWN\naqiYkFbYXG3XBgAAF/A9xrY+vwv8/gMTkn9AgPbMaIUUqSrMdAJ0Nk+lD7PRBZ+X7YU4kWUKXo2S\ntW1EH9Ss3WcEdFzTd1OHKvAEjSYk20b0IgKaZJQzY1glCqlJg2dZXlxH1YTkNAKKFDwAoEd4mc90\nsAgoHqx9AwK0Z4To6paClz8wuhS8Wr/XGAHtmIKvREBbuuDV6Cdf2yR+edp8VRe87SZXtn3qbkKq\nH8VZvo55zaAB3XQQXisrWli16WJgwmZtAABwBU/B9xkB5fsiGtH7BwRozwjhleW5FPGywcaEZBuZ\nbDIhNfUBra5j91pEaliNKMpr6495yiOgK6bg7SOgPZuQ2OvgEd5D5drqopBJUp1T3ySMbbBZGwAA\nXCH3AYUJaVuBAO0ZLkbafgBsTEi2wrCMgMpft23DdKRMYrI2IS3/ri4qGDdEX2UX/GqTkOxd8GLU\npSLUGyYhZTVmK93xENVHQHXHy89TmYIXJRTuIqCoAQUA9Amv7+cDR1wDE5LfQID2zEoCVIlmalPw\nytdMwrCoATVOI2oSoB1T8LmIgFYFaJOzXO4D2jEFL0xItin4YhKSIQJqiDDbRkD5RCd+TOq11R2v\nLEAXf6fpHNpgszYAALhCfcjtKwrK92sIUP+AAO0ZHg1ra0RSf143jvPQsjazdMGbjEAtU/CWT6zi\nNehrQO1NSKvWgKZZbhW1TZU+m+Wx2rdh0r3W8nj0KXj12upKBmSn/WKNpiiyDTZrAwCAK9Qyn77K\nfvieCRe8f0CA9owcAW13Y1dbI+lc8JXIpEGIGF3wtin4jiakNDNHQKOGtLYwIQVUFYS2SBFHi01u\nXrRh0puQzKM4LU1IbKITP55KFFIjAvn7IS4ioO77gCIFDwDok0oEtKc9Zw4TktdAgPYMj4a1/QCo\nYkefgrdzwefLP9W2FVK5tt06KrUCtGFMqdiU4jisNNC3RTL9WKR5mvqAmvqlFu2mguo55sgpeF4D\nuji/4nfnSVY8NAj4NRopk5BWScHbrA0AAK5Qy3z6KvuR+oCiDZN3QID2jEsTkp0LvmESUsUFb9en\ntKsLPq1xwdtOQupqQFJ/1yYCmhhKBprOU1bzOqXjibkJiUVAlxHmi+fG7PvyeeHvh8KEJEa9rhIB\ntVgbAABcoe4vfUVA+Z65yrAO0A8QoD3D07FtPwB2fUDbCVA1EBl3nYRk3Qd02dZIGwG1MyF1NSAR\nmftumkgaIqAmsVy0m6qp/1SPR0RAkzSj6WzxWi8dTIzHm2pMSIWJrOPmars2AAC4QhWcfe036APq\nNxCgPcMjYu1T8PLUm3mSNc4QN7rgDSYk2xrCaq2pbRumOhd8/dpiU+o6BYlIqbm0SsGLNkwtTUii\nf2hDqYAcAV38Dj+3l86VIlC91lIKPhQR0OVxddzAbdcGAAAXZHlejYD2loJHGyafgQDtGR4Ra5sm\nFVHJC/ulMFAFpy41rmt4bx7F2ZyCz7KcjisTl9qN4qybhGSMgC5T1F0d8EQrmJCMk5Cy2vPbFAHl\nxzNdHg+/hjec32HHq0QJ2HkSf2fU0B6qCdu1AQDABbpo5xAmpFXKlEA/QID2DI+ItX0CEx+Yiwdl\nbZ4qOEVd6M64jKzpDCRCn3QxIR1PExJ/Uaxj3YjeEHnla5s2BhGxdJWCt9nkmkxIRPrrWBfp5XAB\nKsbR8dreiwfmKGTagwmJv5/q1gYAABfoBegQJiREQH0DArRnRg3CpQ4hKs7vlwKUi5U8z4sUKv8Z\nXTSzbESvHF9DKyQiWaSIddyakAxtmByYkGKe8rZIwScGIckFqe781rn9OWEQFCJ0po2AmuswpUb0\nIgW/4iQk/n6qWxsAAFyge7jtrRE9UvBeAwHaM1Ij+o6TkHhkitfsnc7S4m9e4AJUs46pBlSIoSzP\njcfH17zQVoCK2sgaE1KW65vEC4EWr5CCn7RMwZsmIY0kM5mmSbylC56ojMqKTffQugaUu+DdR0BR\nAwoA6Bttj+O+TEiYhOQ1EKA9w4VLVxPSBUMK/kgTmSQyCFBDDSiP0JrS8CtFQGtHcdavXaTgV6oB\n7WhCMkxCItKLvbpaVxVhRCpMSMsOA6MwoPN75XVUN2r9LPjVJiHZrg0AAC7QRkAHmIQEF7x/QID2\njNQHtIVI4BHJvUlUCA3eDomP4WwUoJlegHK3t8lJrRWgbUdx1kxCItKLusKEFK/igudtmOo3OX7O\nTZOQiPTnSZyPuilIAlMKfn831rrki3W1s+BFM/+8U/N427UBAMAFuofbPlLwalYPJiT/gADtma41\noFLPxyikg92IiNQIaFm/d2FvrP1dgdAmplnwROYomqgTDIjo3G68WMOhCYlIn9Yua0C7v01HYVCI\n7mnDJqfrs2l7rJllDShRNQUvItkHu7Hskm+Rgl8cf3sBars2AAC4YD5QBFS9DyIF7x8QoD0TdpyE\nJImNMKT9pfDjolOKTLI0vS7VYGpEzwWMKeol1tnbicqaUetG9CI1bTYhEemjiiJVs0of0CAIKF5G\nQZsioPycq6l06xS8RQ2oeD1i0xXXdH8nqm2cLx4QgqB8X0Vh8wNEHbZrAwCAC3gEVCTkbAyibVH3\naQhQ/4AA7ZmuozjVer+DnYUAlSKgLAUvRUBrUvDqKE5ZWJkioGWaVggs+wjo0tRTY0Ii0k/yKUZx\nrtCGiYhFHBtElS7FXf53fSlF0iICOikEsWxCUqOQ1RrQan1qxH6+ywZruzYAALiA7y37y/taH/uN\nej+DAPUPCNCe6eqCV9OtB8sIKK/7FOJhMh5J9Xs6MWduRF/+tynqxdO0IvJmanivItLCTSl4naib\nOUjBL35/GXFseMrm5zxWXfANEdA2KfgiArqM8BYCfyemIAhYil7fB5SfN5sIdh2H7OGibm0AAHAB\n31vOLQMnfaTgEQH1HwjQnpEjoPYCQRq7OApof1kDyp3vRfRqJ2p025tMSCOLCGhhVNmJ5XVsBGit\nC94s6vI8d5KCJyojqM0pePmcc+KG81S0m7JxwSsRWR6FJOImJXUSUrVFVNTR5CYoHi526tcGAAAX\n8Aflc/uLfaefFDwioL4DAdoz8ijObin4eMRrQKsmpP3dWDE7aUwyq5iQlusc7EatX0/hgtfWgJrX\nXkRYF/+erJiCtxVVdSn4ppZRdWYrFSGIZ8lirOdhcR2j5fdFmya9CYkf26ihjKGONmsDAIALxD4c\nENHB7lj6mksq9xS44L0DArRnutaAppIhpkzBH50mRepbpG55alz9XYGpEX0bE9L+btx6tKgQw6Og\noQZU2Rx4unz1CKgw/TS54Lnxq5sJKWpjQpqnNEuy4rWLhwxTzaquqb/NA4SJ2rV7mkwCANhuysxW\nWD6M91Dyo94HEQH1DwjQnunaiJ63+olGQVGsnWY5nc6U/pE7sSR86hvRy19vY0I62FEjrc2vp3TB\nNwlQ+W/xCJwzE1LDJsfPuRqxbUp1t4qARqUJiUe0yzS4XCNaHJ8uBb9CG6batREBBQD0QGkuHVkH\nB7qgtstDI3r/gADtmc4mpERvQiIqhSc3BzVFWs0RUBZBS6q/l6RZIXi5C9729dS5w+tMSNOER0Dd\nmJCaTDqSCSlSU/D1qe4i0muVgi83Xd7VoIhCKi559fiMJqSWEVC+9kHD2gAA4AIRXBhHIU16LPlR\n72eIgPoHBGjPhGFAQi60qUGRDDFhQPs7UfHfQjiUqfFI6TeqqwHtZkI6kgRS1HqyU50Lvs6ExJsV\nrzIJafH78uQhE7wXqSokuSDV9Syti/RWjodFZI90ItCQBtdHQLubkI504hcpeABAj4i9JY5HhQDt\nY7+p+gqwp/lG1PwjYFXCMKA0ywtHuA08fRBHIY3CMgJ6dDqnLM/peDmhSE2N613wy2OpjOJkbZg0\nAubwtGx8f7AbS25Fm5RGXXuiuibqPCWzahum2FJUyWUPSgS0oeF7YbbS1LpWjodFGdXzS8QjpM0p\n+Kb2UHW0WRsAAFwwYxHQPvcbNQWPCKh/IAI6AMW87lYueL0JiWgR+Tw+TUj8RMUcpFlHGJdUj0zU\nMP1GjdC1rQEtJgTpXPCROfrK6x/Hq5qQIrs6I7n3ao0JSZuCbxMBHRW/c+1oVnxdRLlNrn19Cr67\nCUlK/zesDQAALpizGtDJ2K48qguVPqAdRhWDfoEAHYC204OIlLnkYVCkSIkWbZHU9CkXePUmJDUC\nWp9altbZiVuPFk1rI6B1JiQWAXXUhqmpzqhuFrxtGyabUZw8onvl+rT4mogGFDWrhhQ8v9ZN/Unr\nENfWZm0AAHCByETxfWfaw36jmwVvMzwFDAcE6AAI8dVGgM4VMRSNwuJp8ehkLk1EamNCqo7irBdW\nqlGlrQmpzpwjrZ2ZU/Arm5As64zUc84Jg6C8jto2TIvftXHBxzEXoKdERNIDhqlmVYj02FUKnrXX\nalobAABcUKTg47INU5JmVoNN2qArKYP+9AsI0AEoBaj9U16qSQfzefBHSvq0qwmpqQ2TELqjMKCd\n8ajVZKcsL5vJ6wWouYWQ2xS8najSnXOOOF7dxtZmFCd/PSICKtpsEZlrVssIqJsUPB8B2rQ2AAC4\ngLdhmsSlDcV1Gr4uUAD8AAJ0AMKayJkJ3VSeYhzn6byYTkSkiYDWNaJXBGgYBiS+pHfBLyfl7EQU\nsCggUXMElJuUdMKsbu2ZwxR80XdzntWmYORRnObJTTq3edKmBpS9noeWAvRgt9yITa1JtC74jm2+\niOQJV01rAwCAC0RwYdGGKax83RV1pVLADyBAB0CIr1aN6KVo3OIyCSPS4UmiGEhiuR2PRmRlNZFI\nkdLVPYGqado2ozjVaU46xNrqZiHVgDqahJRTfZq6zoREVL4G7SSkdMUI6K4mClkxIS0FKJ+EFK1u\nQjrQrD2FCQkA0AOFCSkaSS32XEdA6ybWAT+AAB0AIVy6mJCCoIyg7rMUvBAPe5NF+t12FGegueKF\nsNKZkE5lARq2GMXJ0x0mYWYSdeJpeKS8ti7wGtK6NDw/5zozkRClOqGXtTAhxZrOA1wEFq59JQ1e\niFwm5sOg7DOru351qNeWrw0TEgCgDwoTUhxKAtR15w3txDo44b0CAnQAutSAzjXp1nIe/FyaA0/U\nLAxNNaCLNQJpTU4xbWlHREDL42mK6PLjMIlIk6jjdUKrIm1yNcJKd845It2try1qEQHVvCZehylS\n9FmeS+dFHB83IQVBUIr4lk/3ugioaW0AAHBB2Qe0bMNE5D4Fr7ufIQLqFxCgA9DFBZ9qej6KSNUR\ni4CKr/H6TH0j+joBak4tqyIlamFCShtqQPnaFRMSa1a8KmMp4lgXAa2ec47oW6rf2FqM4tS8Jl0a\nfHG85Vo6ExI/3jaCMc9zVt/bvDYAALhABBfiuBzFyb/uCpiQ/AcCdAC6CFDRlkiKgC6bhR+fJnT9\nuBzDWV1H54Jf/L92JGZoFjBHy2k5Yp2mVD9HqgE1pKZNa4sU8KotmIhkwVcXAU0KEWmKgJpNSK0i\noJrXxK8jrxHlUYFSIMu/X/cAYeJkmhZRcZu1AQDABWJvn8RKDahrE5LmPogIqF9AgA5AXf9IE4lG\nbIhoZ05EDzx8QkRy5Kxu4lKZgq+uVTZqN5uQxDptXPDcDGUSZmLtagpe9IpbPQUfWz5l6yYNcUyp\nbqndlCF9z9G9pgNNCl493tIFr4+AtpkFr/aRbVobAABWhff7jKN+I6C6B/I2RmDQPxCgA9DNBV9N\n6XKzyINXlw3MmXCpm7iUixS8NgKqNyFN52khSvc1NaCNAlRqa2QQdaE+elfUgA6Ygte1OeKYUt1c\n8Fs1otdGQKtGICJVgOrHmtb1JzWhTrhqWhsAAFaFZ6AWLvj+Hni1bZhgQvIKCNAB6OKC10VAeaQq\n13wtrEn125iQ1A+sOgeeSI2AuqgBXa6d6VPwTgQoe8quG/mmO+ccU71qU79T3d9Rr4OuDRORnAZP\nNCYkIvb+arG56q5t3doAALAqPAAwVmtAnfcBRRsm34EAHYA6YWhCF43jQkH3tdoa0OWXghoTkhpB\nO1TmzfM1Fuus1oier61uFtPlRhW7cMG3joDWH6t6nmzaTanESnN9fh0nmt54WZaXdaYOTEjqiFUB\nj0jAhAQAcIk8YER2wbvvA4oaUN+BAB2AbqM4q2Jofyeq/Bz/msnslOd5GQGtmcmupuCFAYmv06oG\nVBKg9WlttX6xrwhoXZonLVzm7Y41aRkBJSKaKK+LX0dd31L+3qmYkAxlDHXwa7u3YzAhYRoSAMAh\n8ojlkKJRWPQxdh0B1ZtF8VDtExCgA+DMhLQTkypv9BFQVYBWj4Vjiuzp0rRdXfDmPqD6tV32AbVN\nK1ubkOpS8BYmpMUxla9rZzySrrMUsV0KcR4diJRzKaYhtdlcRQR0d2JeG/PgAQAu4QGAOBpREARF\nNqgvExLP6qAG1C8gQAegEIY1c8hVdOngMAykaBWRXDtoqgXM2Lo6HVikwRNzCl5XA9rciL45Nd3U\nB9RFGyY5olhXA6qvsRTYmJBsI6B8U1RLK3jZgShF0I1mLf47NHcxMFH0kd0xr40IKADAJXyPEnPg\nRclRXyakHbantbkHg/6BAB2ALiYRk+NZFQz7mgioKgz5fwc6F7zJhLRs1RNH5cg03vC+VQreGFWs\n7wM6WXEOPNHCeFXXakpgOucCU70qF9q2Y0N5qlu9pvoIaCkGI0WUF6UBLeqbdGM4TWsDAIALeAZK\nPOyKvbkvExLPoiEC6hcQoAPQpQbUFI1TBQPvHxka1pEjoHWTkPQRUDVCZ1pHpc0kpGobJmFCcvMW\nHVtsckXUufFYVRMSi052MCEd7MpRbV1rEikCqqwxMhxXHaZriz6gAIC+kExIyz1ZPIz3ZULipk7U\ngPoFBOgAhIbIZB2lIUZt11OKlTAIaHdSfrgiQ2SSf+Zq2zAl8u+VoxplgdQpAtrQhkktGJ85NCER\nsadsCxOSeRa8IQXfwYTEX5f6UDEKw+LvzIoUPO+puvokJPO1ra4NAAAu4HuKEIbjoga0HxMSj4Ci\nEb1fQIAOgEkY1iGc1aoY4hGr/d1IaqtkEoZSBFRzxUsjkLwBmKJktqYqm1GcQ5iQiNhTdu0oTn2b\nI0FRr6qc37aN6PnxEFUFKFG5KYvj5fW5pklIbSKgR4Zrq1sbAABcwI2NIigg9njXpkexn0+4CQkC\n1CsgQAegmFDUpgY00aeDecrdmBqvNSFpIqDFJCT59w4NdYL2EdDm2shIc26yPC9LEBxFQG2esptM\nSKZ6VX5+bV3wkglppyoChUteCHEu0M2z4FdPwevWBgAAF8ylPqAiBd/eRGmDuIdOUAPqLa3v7p/7\n3Ofo+77v++iOO+6gF77whfTud7+7j+M6U3RqRF9E48w1oKp5Rfxspjj98qw+QieElakNk3GdNo3o\nm0xITKzOpXFtrlLwzaKqyYQUm2pAO7jg45oUPFG1ZlWOgBpMSJaba5bldDwVKfjmtQEAwAUiADAK\ngyIwU+7Njk1IIgI65jWgEKA+Ue1sXkOe53TnnXfSM5/5TPrDP/xD+sxnPkM/+qM/SjfffDN967d+\na1/HuPGMCpfy6iYkHrEyp8bVCF357zYmJFOaVqyjjs9UsTHn6OoX+UY0duCCX/ydFiakRse+2QVv\nXwNavi7VhETE0lLaCOhqJiThgF+srUvBIwIKAHBPUdvPMkCT3vqACh8BTEi+0iq8dPnyZXr6059O\nb3zjG+nxj388/Yt/8S/oG77hG+iee+7p6/jOBLYpa46NCWl/184cxD90+lGc1UlIeZ4X03LMLnh7\nE5K5EX1VNOvSNKsiRFVdmqfRhGThgnfRB5SIWNuoagS0YkJqOQlJHrFaFb/q2gAA4IKyv3MpCosI\naE+TkGQXPCKgPtHq7n7TTTfR2972Ntrb2yMionvuuYf++q//mp7znOf0cnBnBVN/zjp0k5CI5HrB\nSmrcaEKq/gxHZwQ6naXF3zG54Jsb0XczIanTMlxgFwG1MyHlufzabYS2SlzTB1Q+XtGGqcaEFLUz\nIUkjVmvT/4gWAADcoRuxXJgeh5iEBAHqFa1S8JwXvvCF9OUvf5m+6Zu+iV7ykpe4PKYzR5myXm0S\nEpEsGGwjk3INaHWtQgQmGR2dzilNMnrw2tS4jq2pKpVaBzWk4JOcjpep4WtHs+L7zmpALdI8tiYk\n8bPjcCEipRpQWxNSVB8BVdPgkgANTRFQuw1cN+Gqbm1bsiy3FuBD4Nvx2JLnOeW5/cOMyqa+btDM\ndJ5WSqzCMKCdcedb+aDoupv05oJnRtYgWAQOYELyi87v2ne84x10+fJleuMb30hvetOb6Cd+4ies\nfs/2Bn2WEBMfsjSvTLExwac48N+5cDAu/n1+fyx9T6ROs0xeh08/iqJR5RjEE2KW5fQDb31f5VjO\nH8jrCFGcU8PrCcr/M7VTKtbOc/pffukDle/v7kTW56wOsUHP08z490znXMBTOXnAJhIF8s/YHO/O\npPzoqeeXr5WkGY1GoRQd2JnIa4hzmGZ276/TWRkBvXAwqV3b9tz/2X/6PP3ff/5J+p7/8jb65898\njNXv9MlH7n2Q3vF7H6aXfP3j6KX/+ZN7W0fsZ672tTzP6e7f/jv6wgOH9FOveDbdcH6n1e8P9bo3\nBdfXZ5382X/6PL3nT/+xYjINiOi/fv4t9NJvunU9B9aCoi4zDotrshOXJiQXe325FtvPw5DmaUY5\nVSfJgSpDfV46C9Cv/uqvJiKi1772tfTqV7+aXvOa11AUNf+58+d3uy65sRzsT4hoMYf20qV9q98R\ndZvnDnak3zk4t0MXDsZ09XBGtz/lJul7e7tLcRoE0tevTcu084XzO5VjeOoTbzQeRxyF9LRbb6IL\nB5Pia5OlmBuNRrWvZzxezo8fhcafa1r7KU+8UVq7K+eWfyNJzdegPOcT7c9cYO/dg4Ndunhu8Td3\ndkMVopwAACAASURBVMuHghtu2KdLFqLhtlsWr/uRl3bpqx59sRKxOthb/M0sX3xmeHTzETceFN9f\nHO9O42vjpMvKmzAgeuzNF4xrt3m/3vOPl2k2z+ieT16m/+abnmL1O33y0c98ik5nKX3oE/fTK//7\nZ/a+nqt97erhlD766YeIiOizDxzTrU8wfz50/MNnF6/7L//hvkFe96ZwFu47H/r4/RXxSUSUE9GH\nPn4fvfK/e8bwB9WSfOlB2NuJi2tS7s2Z9X5jA7+HRlFA85RoMomcrgFWo5UAffDBB+lv//Zv6UUv\nelHxtSc/+ck0n8/p8PCQLl682Pg3rl07qaQQzjqz6SLlmWU5PfTQodYIxMnzvHh6m8/mdOXKkfT9\nn/zer6erhzN65PmJ9L1kWd84m6fS1x9++Lj499HRtPL3nnDTHr3he7+eDqcJnZzMKWOmpVsec4Gy\neUJXrpRRs3y5CZ6cVo+Nc3i0SOOPwsD4c0+4aY9e/93PogcePql8T7d2V7Jlk/3TWaI9Fn7OZ4af\nmZ6WpQEPPnRIebI4rmvXymM/vH5CQdpcTP+Em/boJ77n6+gRF3bo6tXj6g8sz/Hx6ZyuXTuhOevR\nenj9lObTMo0+ny+OI0kzq/fXAw8eEtHiJqBbO88X1//kVH8edBydLM7Nw9dOrX+nT64dLt57s1na\n6/GMRiGdP7/rbF976Npp8e8rDx+3Pvaj48V1uKb5nG8jrq/POrm6fE8//Yk30POfcTMRLUTp333y\nMp1M7T+r60S8P8NgsW+eP79L2fK6TGd2+5cN6j1U/M1DfC6sEJ+bvmklQL/whS/QD/3QD9H73vc+\neuQjH0lERB/5yEfohhtusBKfRIu6wGSL27tMZ6nRZS3g0a4gCCrn69LBhC4dTCpfF5/bRDnHvK9m\nnuXa8/+Ur7pAly7t05UrR5Xvq/8dGtZREWnjMKy+Bs6tj7lAtz7mgvZ7rt4rcVgaa3R/k5/zUHPO\niYgClms/naXFz/D0eJ7ZH/OTHn1+sbbm50WZg6j54seX5/I15O8mm/fX9WPR3zXSri1qYKfz1Pq1\niPqtw+O5F5/v6bwcYTrE8bja105nqfTvtn9TXIfZPKOT07kzE9+mcxbuO+Jze8ujz9Fzn74QoPc/\ndEJ/98nLxn3NN6bL93c8CosHgqJ0LM+t9i8b1Huo8GHMk804T9tCqyv9NV/zNXT77bfT6173Orr3\n3nvpfe97H731rW+lH/iBH+jr+M4E3Hlu48LjgsbUP1O/jr5BvDyKc/Wny7aTkGxbE/VJXDgt9dFJ\nm3PODWE8mtKlDVMTxehQjQlJXYPX69gYkeqmIPG127RFET/LDU7rZL48nvmGmQ6kB8cObbD49T88\nWT1zAPwgy/Oify//3Dbta74hTEh8EAc3ZLoyIqn7eZdWiKB/WgnQMAzpne98J+3t7dHLXvYyesMb\n3kDf/d3fTd/5nd/Z1/GdCXgLIhsXntTAvcXToNUseAfpDSF4mlJaaUNboyERoipJc237KJtzzr/O\nNzhJgDp6rbHSNkqsF43CSooqktz5ze8vIRJ1LZj42m3aoogby/E0adVurC/E8Wxa2pULyGmHmzH/\nfT5wAGw2p9NEVOVIArRpX/MNIZS5KZWLUVdCWtrPo5ANafH/HG0TrU1IN910E/3Kr/xKH8dyZpEj\noM03FanlTgvH3kjT1J1okRYWuIiAChFr24jehwio9JSdpJW2JVKEsaFlFJH82vn5dtX+Zqy0jaqb\n0iQdl4XgEsJE139Ut7YN/MZxdDqnc8wktQ5Ew2vb5vy+wN9XXW7G/PePPIlGg9WRhkfscAFav6/5\nxkzTB5R3F5k6So/LfZNDY3YQrBf0IxgALmhsPgByz8c2KfjmSUhuIqCbJ0DjmG/U9TWgpgio2gdU\nIF5nELg5v0RyCj5jNZ+6Y4ukFHzz+8s0YtW0tg08deZDGl7UPWf5ZkSGBPx91WU0oZyCX/91AG7g\n5RS6FDzRZozOFQ+G48gQAXU0DUm9h3YZhw36BwJ0ANrWgHZpbE5kbkQvzYIftAZUCND1v834hqer\nbeTn3CYFz4Ve1sPr5DeWeVKakHTR2cggjE0cLich6cZw6tZuIs0yOfJ2uv7aw6lUIrE5Nx3+vuoy\nmpD/vg/XAbiBl1Pwz23TvuYbYj/h04l4Ot6ViFbvoeK+12YYDOif9SuDLYCLPpsPwFyKxq0eAZVr\nQK3/XOt1VDKPTEjjqF5U2ZxzkwlJXFOXta4T5cZS1IBqRG4bE1KSZoUT1RQB5WvbCFDVOOBD5I2n\nr3kLK9/h16/LaEJEQM8mUgqe14C2fFhcN6KuOdYM0iBy9xrU/bzLOGzQPxCgA8AjYzYfAJtoXN06\n6hryKE4XEVDbUZz+pOClp2yNuaNtBJRvcEKMjhyl34nUwvysWE9XE8zLNJpS8KZaMtPaNlEV9abh\nQ+0hv8bJRkVAWQp+VROSB9cBuOFI+tyaIqB+v8+zPC8nIbHj7iOKq+7nxT0LAtQrIEAHYGSInJmw\nqUfUrsMikzmLerp2wZep/gYXfA+Rwa7ESrG+SmsTUlo9vy5f51ip7SprQOtNSE1i66hhDrxu7SbU\nm4YPwodf401yvvJj1b1P2/w+IqBnB3EtdyeRFNBo2td8gj+o8jIf2UjVlwlJb9AF6wUCdAB4ZMzm\nCSzpmoIf6dfhmiRwEQEd2aUzxDG4coavQtMmJxettzQh9RDpVaMChQtec2wmYazj0EaAtoxIqOfz\ncM3tf/I8l4Yv2NTF+gJMSEDH0dKEdKDUbfch3vqC7yW8zEeuAe3BhDRCH1BfgQAdAJMwNJF0NCFx\nAcTF4bpqQL0yIbFNbq5JVfHaXFPrKy7++DXqw+0vuVvnWbGePgJafm3eILa4MYWn8kxr29RkVVPw\n6zW/JGlOufTfft+YOfx9pXuftvl9mJDODqbWaU37mk9IEVBDDairMgL1HmrbuQUMy/qVwRYgNaLv\nMQIaGtz2XIw6acNkK0BFbaR3EVBNCj5pPueS25yFlfsQ2lIUMkkLU43ugaRNH1CTmcG4tlUEVP6Z\ndUfe1OPZpF6gcgR0tUlIPpRCADeYppc17Ws+wSO0kgu+penRBvUeauoQA9YLBOgAmCKTJvgN05QO\n1hEZhK77UZx2Bd1p7j4y2JW4oVjf5pxLtZaaSUi91YCyCGisWUMuDai/JkKUjMKAdsb6OeHta0D9\ncsGrx7NZEVB3JqR1XwfgDpMAbdrXfII/zHLRGbJRme5S8OU+GI/CYk+HC94vIEAHQOoDanEz5Oae\nNpOQjBFQ16M4LQu6/XLB1497k865QUiGYVCcPykFvzwPLmtd1QioELxNEdAmsSXqM/d348pIT93a\nVm2YlPO57hGQ6vXdJBOSlILvEgGV+rHOJTMi2FzMKXj3Yyz7YmYwIRGVpQSuRDTfz0cwIXkLBOgA\ntK8BXa0PKJH8Qcuct2FqVwPqgwkpGoWFeGwyIdXV3UaaiRpZHzWg0nQQ1oZpRQHaNAVJXdsmIuFb\nGyb1+m5SBJS/r7qYSqT+tGlO0w1oTg6aEZOQ1OERTfuaT8wNEdDFf4vxv/2YkJCC9xMI0AEwRSZN\ndE3B27jgXY7ibEpnFMKshZGqT8RTt66uUU3ZmBCvRW9Ccvc6JyxCMOUu+MZJSE0u+OWNzGBAIlLq\nyiwiEqrIOVyz+aWSgt+oPqB8ElK7487zvHL9120IA6uTZhmdTIUArT441u1rPmGqASUqH3pdGanU\neyhMSH7ihzI447QdxWnTk7JpHaML3sEVt64BzUTroPVHQIn4U3ZTBNR8vELs8Z9PeoiARqOQxF+b\nJVkRZdSJ3DYmpPYR0PYu+OksXWvUUU1FJhs6CYk37rZB93lEHejmw7sZ6D63k5p9zSckAapEQCci\nBd9DBHSENkzeAgE6AO1d8KyFRAtRw9dJeqwB5emMuhozn1LwROWmp6trtD3nUREB7TcFHwRBGRVI\nSkEXRxoTUptJSKwGtG7tMVu7CV2kbp3CZ5NT8OqxtnEF617nunuygtVpGh4R1+xrPsEjtHGkj4C6\na0S/2AcDWuyPEKB+AgE6AHIE1MKExOr9TEaRxnXYzcj9KE4WabUQoD6YkIjKtI8uVZWyFHfdOS8j\noP2akIjKwvzpPKs1IQVBucHaTkI6MIzhFIgbwtQiJaaLWqyzDlS9vpuagidql1bVPXysux4XrA4v\no9CNz63b13yCC+SJakJynIIvWgAu76EYxeknEKADII/itE/BtzEgEckCKJNGcbKfcVgDSlT/egoX\nvC81oBYp+KbRp+L7XOD3NXJUFwE1toha/mxSE0HI89xoZlAR4tcmAqqLvPgUAd0kF7xaQtEmIqQr\nv4AA3Xzk6WXVz63r6GFfCIEcUHWfjcXDtuMUvLiHwgXvJ34ogzNO2xrQeTH1pt3lMQlDXg/qQH9a\njxYtUtMuFnVA0eqjJgXfdM7Fk7TOhNTGMGZDUbM6zxofSkSdbV0Knv+duhS8tHaLPqD8Mh+u0fyi\nCuJNSsGrk6zaiArdFCzUgG4+vK2ZLgVft6/5hDi+OKpm9lxHQNV7KFzwfgIBOgBtG9GX6YN2wq2p\nEX0QUKuUvgnbtlKi3MB1ZLArpaDTueDtjrVIwWsmIblOwYvarsUkJHMKfnFcYeW4VKQbWWMKXvTl\ns5+EdPFgol1raFRX/iZNQlKjtW3SqrpIL8Zxbj7iISIIiHYm1Qho3b7mE0KA8vGhAtciWr2H2nZu\nAcMCAToAXU1IbSNqTY3oXaTfiexfTx/u8FWwMSE1nXNdqrsQ2o5f5ySuRkB1k5CIWH/SGrF12GBm\n0K1t1Yh+GbU4vzcuzsE6U7+bHAF1bkJCBHTjEddwfyfW7uF1+5pPCIGsGpD411w10y8nxy3+LmpA\n/QQCdADCMCha6tjUoIgoVpspSERms1PmOEJnG9F1ve6qFMX6ulnw4pw3RUA1qe6s5xrQRQS0vkRA\n585XsZkDX1nbIiUmbhpxHBZ/d53u64oJaaMEqBIBbXFD1nVyQA3o5iOi2KbPbN2+5hNCII8197VJ\n5HYSUpLJGaPSBb85e8E2AAE6EEUNisVovLSjCampBrQPAVonqH0axUlUL6qKc94g+nWp7uJ1Oq51\n5ePpklTeUI3HVXM9mvoJate2acO0vLFMorBocL9WF/wGm5DUEoo2N2T+uxcOxkSENkxngXIOvN44\n2OZhcZ2IvSSOqin42LGIVu+haMPkJxCgAzGySJEKimhXyxQ8F0ByI/rF/ztLwVvXgPrlgh9HFiak\nphR84YLXTEJyHAEVkQIxBWWxvn6NkaY9lIoUAa2ZhMTXtjMhlTcWIWzXakLa5ElIyvluFQFlvyvq\ncdd5HYAbmlqn1e1rPiEEstqCiYiZkBy9BvUeWrrgIUB9ov4uBJzR5gkstUwHV9bgE3EyTQTUkT6y\nHS3qax9QXZ2Rbesr3SSkPkZxEpWRAlmArhABXd7IxlGoNQLo1rZxpRaptTikIIiltdaBKto2ahKS\n8nlq4wrmv3thfxEBRQp+8xHXsCkF76p+si/mzAWvwnseu0C9h4p7EExIfuFHaGoLaFMEbdsSqLpG\ngwnJWQrezoTUlzmnK3FNnVFi2bNUJ/TE63TfiH6x1vFpcwQ0snjCP2y4kenWbpOCH0ejolH2OlO/\nm2xCctUH9MIyAnp0Oq8dFgH8R3yWTGUzdfuaT4i9RPfwK0RpkmZO3q/qPVTs6zlBhPoEBOhAtCmC\ndtGIXjIhOXfBN092yvKcxD7iiwAdR2ZRZXvOdanuPkZxEpWpNVmANjSit4iA6qapmNa2uakVKfg4\nZCl4j9owbdANx5UJ6eIyAprncgQdbB5iEpKpbKZuX/OJWY0JiX/NRRpe3c9N90awXiBAByJsUYOS\nNhhOTMjmoHKdPJOPYVVsGuvzp0zfBOh8nlVm2PPxp3XoIqBJXzWgIrXG1jKl+duYkExmBu3arSKg\nYTFh6egkqZzjodjkCGilDVObFDz73fNLExIR0vCbzDzJigcqUwS0bl/zCV4rrjJmX3PRz1S9h7Yd\nBgOGAQJ0INrUoHSdhMSjd2muScE70kc2ozj5170xIS1TPzlpbvSW51wUtUsmpJ7c/rpaKaMJyWIS\nUpsUfJvxfnOegl/+7STN1pYSrLrgN1eAtknB89/lQwFgRNpcbFqnyfuav+KK14qr8K+5iICq+zkE\nqJ/4oQy2ACHCrExILlLwmhSxiylIRHY1oDzN4UsElAs6k0hpNCFF1UlIWU8mpLEmUtBoQqpJL5Xt\nXPpJwY/jUHLqrmsakhpBmXt8U1appOBbRIOkFDyPgKIV08bCr51JgMr7mr9peLGX6PY1HhV14eY3\ntWFafG9z9oOzDgToQLSrAe0WAQ0NM9pdm5D43zFFdPn6/jSi52keNU1rJyILoSdNQuqpBlQTKTCa\nkCzaMB01mBl0a2d5XpvCzvOczXgeSTfJddWBqhGUTYqAOjMh7fMIKATopsLLJ4xtmGr2NZ8oTUj1\nNaAuUvAmExIRIqA+AQE6EG3aMNlO5VEJgkCb6nfdBzSyKOhOPa4BJarWNtqec12quy+3vz4F360G\nNM9zZmawT8ET1afE+HrjKJTE7bqET6UN0wZFPNRjbdNah//uub31XwewOrx8oqkGlMjvVkwzizZM\n/OdWQd3PbYyzYHggQAeilQBNupmQ5HV4ititQDKl+jlSDajj1HRX5KdsfQS00ySkniKgE027kmYB\nqr8eJ9O0iITv25iQLE0BvG/fOA4lpy6fvDQk1Wu7OTeclSYhsbRjNAppd7L+qVRgNeQUfL0Lnsjf\nCGie54WhTpeCl0S0iwiocg+17V0NhsUPZbAFtDEh2U7l0a6jmbgk7mnuakCbP8zcBOVLBDSuecoW\nG1bbSUhSuynHZitdpMDktC+vu/4GxPtytknBE9VHJHh0dMwmIRGtMwK6wQJUaZrfxYQk3oflWFSY\nkDYV8RmKRoH2gZSofl/zhTTLiwdgXQo+Zl+bOmnDJN9DI4uyMTA8EKAD0WYUWNcUPFGZZtfXgLb+\nc1ps6mm4EHLdnqgrLlLw4vtiQ+XX03kj+i4mJIPYOpLGcNqbkIjqb2o83R0vJyyJ87y+GtDNTMFn\n7CYt6JKCj5fvhaInK0xIGwvv3WsKIGxCCp5HZrUpeLbfOOkDKvbzCCYkn4EAHYh2LvhuJiTTOuto\nRO9lDSiLFKgj34pWSpZ9QBe/k/Xa79SlCUkyM7Row0RUn4KfSyn4xfkVRqR1pH6zLK+cg00xIek+\nS21GE4qbrnjgW+d1AG6w6VxRt6/5AhfG2hR8bLff2JIqEVCk4P0EAnQgwjY1oB3bMBGZakBdj+Lc\n7Eb0RLooWbtJSIvfyXttN+UyAmrTT5DD0311EYmpdGMRqd/1CR8ekRXPW5syCYkLZ3HsbSJa6k3X\nh6lUYDVsevduQgSUp9WbXPB9TEKCC95PIEAHotsozlVMSP254K1qQCUB6sfbrK4PqJq+NMGvSZJm\nkrjxwwVviIAyQ5BppJ9p7bregnNNak1MWlqHCYlf172lCWdTakD5xCtx7G1q+ubKTVe07UEf0M1F\nfIbqPrOuHeR9wI1FpgdrsXu6acMk30PhgvcTP5TBFmBbA5rnZQpxNRc8H8XpdhKSlQve+z6g5SaX\ns16XbVLwSZrLkV7HJiTdzGSTyI2K95d+HJ+IpOxORlYPNrIrta4GtPzeREnBryPyxq/r7oYJUP5Z\nEsfe5masjpMVrmlMQtpcjixS8LblMuuE7xO6B+sgCAoj0qoiWncPRQ2on0CADkQhDBtm9XLh1ikF\nr7i0idw3oh9ZOAolE5InAtQUAW1zziMpBZ8p7aZc14Dap+DFdc+JKkYWIpbKszAgqWtPayKg/IZX\nRkDXJ0B5+m5vRwjQzbjhcKEsjr1NOlJtvi0eBE6mCaI+G4owkNWl4OsyO77A9wmTm7+Yvrbia+D7\neazrA9pwDwbDAQE6EDphqIN/v0sKXqTZpUb0jkdx8ob3Vil4T1zwYRAU55Tf2NucczUFz2/sriO9\nbWbBR0ptqsqRxY3MtHZdBFRqwyQioGtM/XK3rUhjb4oJKVkxBa/WvfGo2bp6soLuLIZHNEdATfua\nT8wbIqD866tGcaWggG4S0oY8kG4DEKADYVsDyhtRd4uAakxIogbUoUAKG16PjyYkIqJJXN3k2pzz\nSEnlSNHTnl3wozAwPkSowlilcNNa1H+qa7dpw0RU3iyPThJtOUCf8BtdmYLfjBuOLgU/TzJtRLvu\n98s+oEyAwoi0cUznafHebepcodvXfGIm9QvWyw7xALuqiNbt5yFqQL0EAnQgxAegqQkunzHeJQIa\n6UxIPYyKbIqA9mnOWYXiKZud56RFBJQ/SSdZ1mu7qVEYSn+z7tjU2lSVIws3rWntOhOSrr+fqD3M\n8pxOpsNG3ni5wFkwIRHZ35ArJiQPhgKA7vABAk3GQd2+5hN8D9GVFhGVwrRuv7FBdw9FI3o/gQAd\nCJ0w1JFINYUdUvADuOCJmk1VPo7iJCrrjHhamW9YTceqCr0+G9ETyZHIuugs/54u5SxuZjY9QNW1\n601Ii5tFHIXF++uARd4OB0798mMVUUQ+hcVndBFQInsBajIhEWEa0iZy2KJ3r25f84mmRvRETICu\n+Bp091Cbzi1gePxRBmcc8UFoqj9ZOQWvEYZlDWjrP9e4junGzr/uiwueqBRVPFLWKgXPay2V9Khr\nFzwRUcxaltRFQEeWKXhbExJf22YUJ0+r8Sjr0KlfHj3ZY1GjTaj70pmQiOzTqqoJCRHQzebw1L53\n7zh2Ez3sC7lWfLgUfBxpUvAbsBdsCxCgA2HbiF5KBxueFOuonYTkMgXfYKrycRQnUSmq5h1T8JGa\ngu/RBU8kC7u6Y4trUvBZltPxtEME1MIUIKIVPK12sE4BqjEhEW1GGp7fOPmx26ZV1XGyu5OoeOhE\nL9DNo834XJuHxXUihPEoDIxZpthVCl5nQmJrIgLqDxCgA6EzB+ngwq2LqaWITEomJLejOPk6icUo\nTtfmnFXQiSrpnLdqw9TvJCQiWdjZpuBVsXUkRVLsTEh8bRsTUmyIgA4deeOTYHgaexNuOokhBd82\nAiputmEQFMIFEdDNQx6fW/+5tXlYXCflg6pZcrhKwevuoTwIAhOSP0CADkSTaUcwl8SQo0lIyz/Z\nhwve2AfUw0b0RPo0T9cIaJr2a0IikoWdfQpeviZtasl0a9eN95vpUvAsfTy08BHHEwYBTcaleN+I\nCKimhymRfUpSN04W8+A3F1E/PY5DqRRHh6v0dV+UD6rm11E+8K4monX3UNSA+gkE6ECMGgSbYNU+\noGVkUpOC76EGdJNGcRLpIwVJC9GvCr2+hfaECbu6Uob6CChz03ZJwdvUgMZyrerOUvwN3X9SXNc4\nDuVyCU9vzByeTVglAspft2i7NbQZDKyOTQ9Qge8RUGGOMrVg4t9bVUTr7qEQoH7ijzI44+iEoY5k\nxdpJXWSyHMXpMgW/oTWgmnFvbc55XDcJqQ8TUmxnQopCOTLLkSKgLUxIRUSizgW/vOGpN5Z1TUPi\nEVlJlG/ATYe/lyQTUkcXPBEioJtM2bu3+TPraoxlX4iopqkFExGrY11RRCeakqogCIr7H0xI/gAB\nOhBhQ9siAU+fxp0ioOZRnMGAfUAL5z25Fb6ronvK7twHVEnB91HryoVd3fuBG9ZUsSWZGTpEQG1S\n8GpqbV3CZy4J0PrOAL6hm4REtFoKfp1jUcFqtOnd6yp62BflPlETAXUkok37edPwFDA8EKADIYRh\ncwp+tchh7SQklxHQBlOVEGY+RT+Jyn550x5MSP30AS2FXV2ElYtfNd0sbmQBycKmCZvm1nMRAVXM\nBWXqd2gXfBlpket1/Y96mExI07YmJB4BXeNYVLAaNnPgBbp9zSfapOBXngVvuIeKf6MRvT9AgA5E\n8ebP89rxhH2YkAoxuIZJSD7VfxKVqSopAprZR0DDICBxFoc3IZn/vjyhSTEhLW9keztRK5FcpuDN\nN7WpxoREtL4IKI+0jGrqYn1EHGMQUFFDS7RqBHT5IIAI6MZRDI+wGJ+r29d8YtoiBT+fZyuN8DXd\nQ0dB/T0LDI9f6uAMY1sE7cqElPZeA1r/NCm+7pMDnqiMFEg1oC3GnwZBUIi9JMuVmffuP062fUBr\nTUgdpiDxtW1MSGoKns+DH5KyBnQk1cVukgCNRovyAXFFrfuA6kxIy+swm2e1pRTAPw5bpeD97gNq\nFQFdiugsz1cSiaZ7aJm1gwD1BQjQgbAVoJIhplMf0Loa0NZ/rmadJhe8+/nzLijqjAwueJvjFdM1\nkqT/CKh9H1Cz2GpzI5PW1jTtVzGZkNbVf3LGSgLUcgnfSQsBGVAQBKWxxCKtmud5rQmJiOgQ4zg3\nhizPi7IJKxd8i/fKOrCqAWUPsav0AtWZkIjsWyGC4YAAHQhpEkPNzZCnT+s+rOZ1qiMye2lEX0xC\nMtSAFvVongnQ5SaXsuhlmxQ8UXktk0wRoD28VvsIaHMf0NYRUIub2kzThomvdTxNBi36n/MIaLRh\nEdBMFpBtolpZnpO46ro+oERwwm8Sp9OExBZuMz5Xt6/5hI0LnteRrxKtN+3nujHVYL1AgA4Ej46Z\n5qcTyengThFQkWZgN9w+0uFhQz1NH3WnLuCiXmyKpidmE+JnkjSXznMf5Qb2jeibJyG1mQPP165P\nwRsioGxyy/GAPSj5ZCY5Be//TUdNodsMAih+N9HfdHkLHxiRNoe2wyN0+5pP2KTg+WuYrlBKYLqH\n2hqBwXBAgA6ENAqsJhqTsNR10CFiqROG/brgN0uA8qdskeYRgs32nIsbPG/DFAT9tJviaak6cRwG\ngfEJv2znYu+A52vPk8z40CTOYay64Nc0jnPORv7x87UJrVfEjVNcR5s+rMXvGkbC8msOI9LmwMsl\nbD630r7mYR1oEQG1mIREVHbX6ILpHmo7DhsMBwToQNjXgFaNBK3W0QjDMgLa6U/q17GchOSbUFzD\nAgAAIABJREFUC16qMyoioO3OeVl+UKa7+nqd/MbS3KNURGbVGtCOJiQpJVbdtFNWgqDeWOTU73AR\n0ClLwfPOAL66gzkidVim4EUE2iICyvsHs0jSuh4EwGrwaLXdJCReP+lhBDQpHwxNjCM3Itq0n4sM\n1SYMpdgW/FIHZ5jQ2gVfbaXSBq0Lvo8a0MZG9J6akKKqKGl7zsU0pHmale2meqp1lSKgDTXBIuXM\nBeg8yYregG1T8HxtnYDjkbnKJCS21pC9QOcsBc8b92+C8SBRTERtmotLvQ/Zw9AkHhWfwaHHooLu\nHLYcHqHb13xiKjIl1iak7iLatJ/bjsMGwwEBOhCSCanPCGiNC37YUZx+puClWqkiBd81ApoVm92o\np2lPUg1ow7kUApVHw9pGUkxr624I/EanpuDXZX6ZFSn40cb1AVVvnK1S8IY65iAIMA1pA5Gml1n0\nAeXp61Uc5H2Q5Xnx/qxLwceORLRpPy/uWRCg3tBK5dx33330qle9ip7znOfQC17wAnrLW95Cs9ms\nr2M7U1jXgDqKgPKG96LkxakJqWGsWZp76oKPdSn4duecm5Cynl/n2HIWvHxc5TU5amlmkNeuvyHw\n1PBEubHs7URFH8tBBSgzRfGHn00wIc0NJiSbFPy8pn/wAebBbxziYWF3ElmV9/hsQuJ7R20K3lEd\nq2k/L2vk/RLo20wrV8KrXvUqunjxIv32b/82Pfzww/S6172ORqMRvfrVr+7r+M4MPEJm0we0buxi\n7TojeZ1oFBTruRSgTWPNRATUv0b01U2u7Tnnqe6+I738eJuOL9JEpeVUXjcTEpF+xB+PtKgR0DAI\naG8noqPTZLAUfJ7nkts2CAKKRkGlW4GvVCKgLUYT1o2TFRE0REA3h3J4hN1n1lX9ZB/w7EmtCclR\nCt60n6MPqH9Yq5x/+qd/og9/+MP05je/mW699VZ61rOeRa961avoj/7oj/o8vjODKgxNrJqC54JP\niMN11ID6akKKJadltxS8SHWnWd672z+WTEj1axQmJBaV5m7ag7ZtmBoioFJkQ3NjKVO/w9QeJmnZ\nC1NcZ3ETmm+AAFVnuYvo99wqBW+OgK5rLCroTtvWabp9zRekUh3LNkx9mJAwCck/rNXBTTfdRL/x\nG79BN9xwQ/G1PM/p+vXrvRzYWcO2BtSVCYmvU7jgHWqkZhOSnzWgE02qqjjnlscqfm7OJiH1JbR5\nartpMAFvDyXgNaBdJyER6W8IPNWnS60NLXyk41meq7g4J/7fdMR1izu54M3jZIvrABPSxtB2eIRu\nX/OFWYcU/Co1oKZ7aIgIqHdY5+TOnTtH3/iN31j8d57n9J73vIee97zn9XJgZ42RJjKpQ23F0pZI\nEbo5m5ASuEzBNxR0J5664GPNuLfinFtOnoq4CalnFzyPQjaJXHFc8yQrBMn149nydwPaGZvTXzrk\nnqkNKfjaCOi8YgLq+v6uQ3LlFxHQzan7Kgxty2MW59TGVCK54JX3Yt116NpveJPJ89z711xEQC0F\nqG5fs6Xv82Gbgh+Fi7rtNMtXEtGme2iERvTe0a4ojPELv/AL9IlPfIJ+7/d+r9Xvda1t3HTGys3f\nJHaEqScehdaCiMMFSxAQhexmFEfmvymui+31iVkaWvc3RRY4qllzHeyxmqo0Xxy72JBsz3nx2pnR\naxQGvbzO3Ul5vOO4/vjEcX3o4/fThz5+v/S9g91YStO1XVucK07KmtPvTaLK98/tLW6eH//sFbrz\n7v8gfe95t99M//N/e3ur42mCN8vfmSxGcYpoYqY5fhe0/dzUIW6c4nO6M1mm4NOs8di55JiM5TGk\n5/fHRER09WhWuQ63PvYC/cT3PMu7UhlXqNdnOk/pZ/73v6ZxPKLXf/ezenkQcoGoAT23F1u9b3X7\nWhN5ntMv/+sP0+fuu04/+S+/ni4eTLofcA18n9jdKfcJ3WdnHId0Mk0pSbt/Xk330CgqfQs+3ZN8\nZCid1kmA3n333fRbv/Vb9Eu/9Et06623tvrd8+d3uyy58RzOylvE7t6ELl3a1/5csLwR7OxExp+p\ng5/fg3O7dOFgXP73vnld3e/Xsb+/2KyyLNf+TRFt3d2JO72OvsjznMIwoCzLaRSNFse2PFbbc763\ntzinOQU0Wj7Rj8fdrlcTB+d26NxeTNeP53Tr426oXeMJjz5P//j5h7Xfu+UxF1of33infO8U54p/\nf1yuddMjDujS+R3p+099wg30Hz/yFe3f/suPfoX+1+94liRyV+XqaRk1ufHSPl26tF9GQjXH7xI3\n+9rifbi3O6ZLl/bpwrnF+ZwnaeOx7+xeK/594w0HdOnSXvHfT3vSI4j+v09pf+/eL16lh09SevJX\nnVv14L1GXJ8Pf+oB+vz9h0REdOU4oac+/tI6D8vIyWzxXr7x4p7V+1a7rzXw4NUT+pt/fICIiO79\n8nV60bNvaPiNbkT3HxX/vunGg8qx8c/Ozjiik2lK4Sjs/Hk13UN3Jstochh4dU/aZlrv/j/7sz9L\n733ve+nuu++mF73oRa0XvHbtZCPSYa45Ojwt/n312glduXKk/bmTZeolz3Ljz9RxelK2xXrooSNK\nZmX93cnJ3Pg3R6OQzp/ftb4+8+XfTdNM+zePlzVMQd7tdfTJOArpdJYW16HtOc+W52c6S+hE1Df2\n+Dp/8l8+m6ZpTo+5Yad2jZe+4El0y80HRdNnQRQGdMdTb2p9fHmeUxgElOU53f/gUeX3H3r4uPj3\nyfGUKJXTZs+//WbaH4/oOqsB/dx91+nf/80XiYjoC196mB5x0d0D6eUHD4t/T09ndOXKEYnM4tHx\nrJfr0/ZzU8d0toh6ZcvPVLpMQ05n+s8Y5+rVk+Lfx4endCUoo063PGqffuxlX0uXr5Z70ENXT+nf\n/uVniIjo8oNHdON+u/rgTUG9Pg8+VL5nv3TfNbrp3Ljmt9dH+V5Ird+36r7WxBfuK/0b912ufr5d\ncd8D5TrZPCnW0X12RET6+uG08/GY9nOxb89m9ud0WxHXpm9aCdBf/dVfpfe+97309re/nV784hd3\nWjBNs2Lm8TaRszTEbJ4azwGfB93pPCnrzGap9L2mv2l7fQIqC7p1Py/a9kSjjq+jR+LlRn06W1yH\ntudclLXOk6xwV4dBf6/zUZd26dKlfbpy5ah2jXgU0nOffrPx+12Ob383ouvHc7p2NKv8/umsNLUE\nmr8fENF/9tSbpK994rNXCgF69XDmNO13Oi2PZ7S8HqLuazbvd99xsa+J91J57GVP39NpUpsuVttk\nqcfy1U+Uo1tfvHxUCNCT6dy7z6hrxPU5Ye8R3XvaB/I8L4w7ozC0PkZ1X2vi2mEZrLh+3N+5uMrW\nmcSjyjr8syPKiE5nSefjMe3n4mE02VIN4iPWAvTee++ld73rXfT93//9dMcdd9Dly5eL7z3iEY/o\n5eDOEkNPQiJa1JRx4dtPI/pcW8QuCs/ris7XReEu7tqGiZmQfHX7u2J/Z5H+1/WQFOcvDALrcyfN\nJnfcH1R22y7ed1HResX/G47JhES0ONd155jfUG3ei9w17Vvbnj7hhhhf+6Jyo5g64raOxV47t3aQ\n89ff57kQXTAm8aixk0eb3rcmzJOQ4IL3DWsB+ud//ueUZRm9613vone9611EVLrnPv7xj/d2gGcF\nuT2S+cM1N7SQ6LROmhH/rDltRM9d/XleGUUpNkG1QbkPFP0VO05CGrFJSEI0+NZw3xV1U3TE+atr\nraLS54hO2W0rGxw2oQ2TOglJbkuTUt12nbAPus3DQBzXt9g6q3Bx5mtf1KnUzaGFAI3Fg7Wdg5w/\nAPYpQMU6Nk31xed2lYci0z0Uozj9w1qA3nnnnXTnnXf2eSxnGnkUZ3Mf0K4utFARhvzD5rQRvfJ6\n1MMtRyL6FwGNlafslSYh9dyGad3UzREX569NlIbfhJwLUE3Da914Ul9R+xe2aczNX5/Ne1GanLPC\n1JlNg7/Wo4EGJLSlacCDCXVfa4J//voU4+Jv27SUEg9G0xXaMJnuoRjF6R/+hafOKLoG8TpWTsEr\nwpD3PHMaAW0YLSrSs22e4IdiXPRXFBHQbpOQkrQU+NEZbWNTjnGs3qzFNdb1ADURR6PiPeE66qK7\nceua8/uKaRISUbNI5CNhbR40XU2d2TT4ax1qRGxbeA/MppQ1p9jXrAVo+Znuc1qZGIBgM9XJRQTU\ntJ+jEb1/nM27podYN6JfMQWva0QvcDoJqWa0aMZGVPoYAS1SVUoE1HoSEouqidd5VlPw5RQdNyl4\nIpbWdzyZhxtxROlHtEEpeNMkJCL7CGibOmaxJ60ydWbTkASopyn4uWaggg2rpOB1n29XtJnqJF7v\najWghhT8qOwDCvwAAnQgrEdxrjgJKVQirVlfKfia19P1CX4ohCgWN97inNtOQmK1REW654wK0Loa\nUFGr1vYhQ0RC+oqARqOweK9HGzIJKWflMuJGyc9rk0js8uBapGy3NgXvpwCdakbK2qDua00MlYJv\nI0DLMoIVUvCGeyhqQP3DP3VwRuHar+5mWN5EXcyCz6TpMG5HcZojutJIRA8FqHrjbXvz5j9XtEs5\nozWgIgI6S7KKUBER0LZGs7q60lUoOy9Ux5f6HgHlx6czITWJRDV9b4MLx/GmMd+wCGibB/i24o2/\nft3n2xVlDehAJiTDPbR0wW/P+913/FMHZ5QgCMoPQF4XARXp4K5tmJQaUO6CdxoBld32HL4Btkkh\nDYU5BW93zvlNXqR91S4AZwUetVBT5uL8TVo+ZIi6Utdpv8IUxYTbppiQ+PGJUpAuJqQ2D65lunOL\nIqDstbouAXEFv9aTTil4ywio8vr7OB9ZltPx8u8e2NSAOnhPmu6haMPkHxCgAzIq0oHNJqSuETU1\nMimbkDr9Sf06NTWgshnEv7eYWqzf9pzHOgF6ViOgO2XUQo0YiYhJGxMSEY+Aur3hzTUlAZtiQuKf\noSICyvuANtyQ0w7mRSFwt6oGlImzk2niZTSMRyL7NCGpn+c+IsLH04TEO9vGBa/2aO6CaT+3uf+C\nYfFPHZxhbJ7AVCNC6zXY76VZLqXgXUZA1VpTzqxjCmkoyhuvmoK3jYCyFLwQoGfUBX9Q07dzrok4\n2rBfU1e6CjNNScCmmJCkCGik6QPacENOsnbvYaJqN4htQBXbPrZikh7gW0RA1X2tjjzPK5+/PgQo\nX8OqDZOTRvT6e6jIUsGE5A9n867pKU1F0GmWFZM0XfQBTbJs7SYkP1Pw4sa7OD/inLedhES0mNNN\ndHZd8NLkIjUCqozPs0WYkI5O59ID0qqUfUl5BHSZgvcw0sXhk4xECl6OgDYIUFH31uJ9qJaibANq\nJLlP93dXOrdhYvtaE6eztLJv92FE4ntGGxd8kmad9oa6e6j475wgQn0BAnRAmoqgZSOCmxQ8/wz3\nNQlJfT0z71PwZbG+FHnqYEISm+RZdcHz3n1q38TC9NPyIUPciPKcpNncq6I1IRVjU/2+4fBJRuKY\nw7CsG29KwSeFg769CWmrUvDKa/XRiNQ1gzRuYULSic0++qJygc/LeUzwz26X92XdPdR2GuH/3977\nR1tSVfe+s3btffb51U23/JJAB7wINETpbpo2ktzkRqMQfyCiF4IQAiPBMZLnExNHxvM9YzAERkzu\nSHy8EZPLAANJjFdM9Mbk5t6BERAIT67QioISuDYgdNv8auym+/zaP9f9Y5+1aq6qtarWr6pTZ+/5\nGSMjeHrvvapqVa01a875nZOojvpZB2MMNwB1b18DyRgKI0KSOiGVZoCmQ/C4HmMNPaBIadl3uOaq\nTX5cc0CnWg1xXdKblksnJID8sL4PqvavfBPq1TwHVPciJNrGFoXgncowTV4IPn2udQzBi1SSZsMq\naoXXNVbgPVQJjmrhAW2aN19QkbeH5qWNEWsDGaAVkrQCU9/8+O0thAipzBzQvNai+M3VViFdBdwo\nZgCw3EkWORcRkvjumHpAoygS7TPTm7Uw+GzrgM5gYVMZHtCsCKnudUAHijJMAIlRUdSa0EWENIkh\n+LRXrY4e0J7jix1e14pEd6rzLsMYx8+3USekVjgPaEaERAZo7aifdTDGiHCg5ubHi4a7CCmnEH1I\nFXxeDqgUQqqvBxRADgGbXnOVoTquIiSARDyQCcGvGkVtxzqgAGFz8NRlmBIRUpFXaC3ReeJbhnUR\ne5ZCOgAsQpocAzR9rnU0QJM2xnZrp03nLPzclVWXFyDxqs62m0YRuJZF3rOKvD00HR0k1p7x3TVr\nSJEKHj88ziKkVI92VoEKPlOIXhIh1e8Wwwv7EjJATa+5ql7ouHpAAZL6fThExxhz6gUPkMorLSEE\njzfiZk65sDpRFIIv2owHLiF44QGdoBD8OhIh2Yr78LpW9FKBn7vjN88AQDnXgr+0moTfAVJGtEMI\nPm8PTVeIIdae+lkHY0wVIiSp4H2JKvhmnghpdfFroGOpE3hhxwaoiwiJU8fzDMWcwkOCF3rbUKEc\ngg/pAc3WJcUewTp7PeTQYTYEXyhCcuiE1LZs3TgOpA35OrbjdM2tbkkCnvz7hT937VYMm+bb0t9C\nYtMFCSBlRJMIaewhA7RCbDygrp2Q8DjDodwJqaxWnNkc0KQeY1TDDkE4L3UZJeObXnNVmHOcDVCR\nA4qulVTpwNLLHTcaMNPmeaUBDdBeNgSP56XOQiStB9QwBE+94IthjGWuYz1D8G7VJdqS97AgBL+a\nmzk30xTGYbkGqL0HtOfpAU2v5yRCqh9kgFZIXKSCV3RDcRoHdXyQRUjOP5khtxC94xt8VbQ0IXiX\nOqAc15SJ9YDKA4o3uCmHPF/RjjOkCElRBxR7heosRMKeG5y71jIMwfdJhFRIWpQJUM92nL4iJIDi\nOeXP8vx0K2kMUcK14CIk0xA8rmDRcbgv8/bQZk7aGLE2jO+uWUOKVfC4G4q7tchD7f2MCCmkCr5Y\nhORimFTBlC4Eb3jNVV6mcS1EDyDngPKcYtdi2eI3NcImH7jnXaoDirwgde6GhEOCyhB8gTfItpvX\n6LeTEHydBVqhwC9NPDBTSw+oY3WJKYsQPM/3nJtpiWcRP9+hEOMYKOAB5D3DTQWv30NJhFQ/yACt\nkEIVfD9QCH51nGGZZZhy8mmEIVBDARKAHNrCKnjTa66sAzrGBij3kAyGDFa6o7ntSR5QdwM0VAh+\nOGTCwMTzi18W6twNCW+2LiIkYYBa3Ictz5I36w1slB01NwUA9RQh9Xpu6ye+7zuFIfjEAOXGIX6+\nQyE8raYheHTOTiKknD2UQvD1o54WwpjSKMoBlbqhuBs0sggp+/cQ5Baid2zRWBWSB3QFq+BJhKQC\ney/4xtXxbLeqCuv7oPPIYo9gvT2gKHSINk7T/t78+3YeUPOyPeMADulu3jANAPX0gHYcQ/A2HlBs\nGJbVGKI/GAqD1qQLEoD/PZm3h5IKvn7U00IYU4pV8P6dkKRxUjmgIQVBJp2Q6hqC16vgSYSkYh6r\n1lc9Rj3HdoHiN1E/+BDo2r9KHtAaG1ly+ZjkmNuGtTr5921eXH27zqw3sKjlNRtGyu9ub1horFWN\na4OHloXxxvM956abknEYMiUG55SaekCbcQP4HewtQsqrA1rjaMgkQQZohRTlgOq6oTiPw8rLAW3k\n5NOoCoLXCbzxLjsYoCpjc5xFSLKHZHS9ZBW8iweUK2/DCB+wASWH4JEHtMabDvfORiDfX6a1Ovn3\nbRpY+HadWW90JQ9oW/x3yG5cIegGCMHnvVAMGRMvflkPaLhrYduGE2DkJGl5iOPy9lDKAa0f47tr\n1hBsGKrQlWKxHke0HyxPBR/nKAp7CjVyncC5b8sOdUCjKMqtMTdu4BIqfFORDD4HDyj/zeVOP4g3\noqf1gK6POqAD4cGUS5eJMkyGOaA2HlDfrjPrDXzPbt6YGKB1qwWqquZggqkHdGmlD3xbSBugIVMS\n8HU1LcMEgDp0OXim8/ZQyQCdANHdeoAM0ArBhqGKXqAQPBcbZQrRBzSS5IL36hB8XXNAG1Ekri/O\nAbW55mmP51ir4BWtM3ueHlD5N/29Ll1NSgA2yIr6Y68lPU0dT2sRkmsO6CSE4LUe0HoZoKpqDibg\ndS3vhQWnvcyhMkwA9TBAk/q09s9r3h4ar5OX0UminhbCmFKUAzoI0AkJINl0y1TBA2BRVaoTUs1D\n8ADJ4u7iAQXIqo1t1MfrjWbcgPbUyBASHlDPMkwqYZMPXY0oar2IkHR1PFvIA5quYckZDpnwaNnV\nAZ0wDyg6x9esipAA6qeEFy1uHdZPk7Jd6dA4fr5DXgtpHMMyTADJfemSFpK3hzYoB7R21NdCGEP4\nA6ArgisJETzKMDWRZxLvWaENUK0HtOYheIDEOJZ6wVtc8/RGP84eUACA+Wm5WwrezH3qgAKEyTvT\nipAa68MDOtCE0GVls4l40UaEZK6aHgfwS0pdPaCD4VCspy7rp0lzAfy88Vzs9PMdAh7ZaEQRzLTN\nz8W0/ayKvF7wVIi+fpABWiFNjcHG4V6QRhR5GTS43JMcgnf+SSU6UVXdQ/AAchFuAPtrnpfgPo6I\nbilchITm2OXFZj5wP3hJlY89oE3sAa2vAaoTEWEvpd4AdRMvSjmDDuHO9QY+x5Hnb3Tf1qkbUtez\nvq5Y13LmUxUaTz/fIVgQtUabVhVYpjxC8PxZiBtRZl3Kq9xCrA31tRDGEO5h06rgV8MCPl2QRuOU\nX4YJj5MODQoRkkNuYFWkw1u21zyT4D7GKniAJGSezgF1bbcaOu9MCsGvQxESV+in7yOTPE1dCaci\n5BD8+HtAsQHfbsXinq6TBxQfo0sInn+nkzOf+Hx5CSbRGCJoGSa7LkgcrxD8UB1JAMiv3EKsDeO9\na9aMokL0/IHz6YIEIIfGyxIhAehFVV3HJPoqSYe3bK/5pHlA51OF47ueLxkz7aZohxhi09P1po/X\nSQie1yhNv9iYKNWlELzFfTxphej5uhQ3RtGO9D1dB/BLRtslBN8sNt748zbbbgqnSBnGuG0XJE7L\nIwSft4fiFCvygNaD+loIYwh/K9OKkEQ3E08PqGjFOQT+nEVQXg4orq/IGEO94Ot7e6WPzfaaZ7ps\nTIgBupgqw+SaZtGIoqCbXk8SIWk6IdV40xEipIaDB3RIIXgTxLq0+tLEvX91KsPU9fSA2oiQ5lAa\nTOjWuPi3bA1QnxB83h6K12wSIdWD+loIY4hOtMPpD9RhOJ9xuAe0DJGMSlSFvTHrKQRve80nzQOa\nFI5PeUA9XjJE3lmIMkyrxxNF8lzE66QTkki/0ZRhAtB7KQfYA2qRShJFEaozOv4h+HRkZq4Eo8sX\nuZ6t/frJ17V8D+joecOGYfr5DgEv8G/ahpPTClAHVLWeUw5o/SADtEJihcGGSUqx+BkzDeGZTHJA\nQ+d/AqgNal91dFWkw1s2HWQAJlEFP9qsllb6MGTMuV2g9JsBN72ke0ws3esNVK92PXRCSt9XklJd\n49XCxoZtKolPzcX1Bhfm8HMWIfgaiZA6PbUn35SkdauBBxTlZkrPdyDjTOSAWnpA2wZGtI68jmBk\ngNaP+loIY0iMDEMVLsWk88YZSh5Qr5/UjJPNAZVy8daVB5RESHnwTYTBaJPiG1zbo9arEDYFESHp\nPbL8eap3HVBNDii6vloPqGMIHsBP8LHe4B61Ng/B19wD6vJyZ9LGUpWbKT3fnTAG+eKymwHaMjCi\ndeR1BIuiRBlPIqR6MN67Zs1oaMoWccIZoNlWnKHzP0fjqDygfi0aqyKbA+rnAR3nQvQA8iayuNwT\nG5yfBzScAZCnyudG3aDOIiRN6HDKUoRk+yLFvYF5qulxIblnUx7Q5R6wmrRm9F0/TVq3qgzD9PPt\nS7c3ENfbOgfUoxd80R7a0FRuIdaG+loIYwg3DHUhjkGgEDzuuCQ8oGUYoApRVc+zjl1VpA0naxFS\nyuAc+xA8Lpu00hPhYJ85TkKg4ULwKoM4XhceUE0IHntAtWWYPDygBnUjx4VeShzJ77/BkEmh77XE\nN4LE7/+880nKI2VFSABhnsd0tyUbkkL07p2QdOt5vA5eRieJ+loIY4hokcmY8o07mAgpTjyT3NYt\nw0AqzAGtcQg+nV9le83T+a1jL0JCm9Xicg86AdqtJirkcCIk1fHwzajOZZgGul7wBp2QBo6dkACw\nt6keBliZcC9vWgUPUJ9STN4e0IL8yf5gCMud0RjYMJwP7AHFwkJnEVJvYO2ZLtpDi5rBENVCBmiF\nFCVB5yVQu4wzasXJPaBeP5k7DvboYi9NnT2gaYWp7TVPt+30aZ26HphPFY4PI0Ia/WanN/DOQcxr\n/5rkgNbXANV5QJtxA/ijq/OA9iQD1NYDSiIkgLAdgHzoeYo4p4SCXD2fS8gwlHJAAxvjXh7QVSOa\nMXtDsWgPLarFTVTLeO+aNaPYANUnUNuAc025cRitgQe0ziKktHHsLUIaew+ovFl3A4TgQ3ZDyqtL\nup5FSFEUFQpLBj4heCFCGn8PaLp5Ar6nQ4SdQ8BfBOJG5KQFKKoDKnVBkgzQsMb4olcIHuU9W74Y\nFe2hRaUQiWohA7RCpE4Mis1QbEKe3jT+/SFLREhlGEhJJySUA7peREgp49i7E5LnS0PdaTQimG0n\nZZNCtFuVhA+eBgA/nrbieETYrdYeUH3osMirFUKENAmdkPja1ErVAQWojxK+29e/SJnAn8d0FzwO\nfs6wYZh+vn3BBr19K06cdmL3YlS0hxa1wyaqpb4WwhiCjUCVCo+XZ/LvhJRsuIMSRUiipIUUgl8f\ndUDTx+bbCWncRUgAsmgoRLvV+elwBkDexi1ESDX2eug6IQHgvD4DEZLli9QkheD5OfJamfMz9csB\nzavmYILU3Upxv6j6wHNCigL589yMG9Z54vgcOpYvRkV7aFEtbqJa6mshjCFSKzCFN2YQqAwTNgzZ\nUP5bSLDYiSMl0a+jELztNcc5RlFUzvWtG7xbyuJyT2zmLu0C078HECIEX1yGqc6dkPprcYa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XPw48Mr8D+//yIAAOx5/gj84q6f1H72/u/uV4o1BkMGd3/7R3D5O84qPO541WM11Wxoj21mujkS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\nD3/4Q/bhD3+Yvec97xG/SXMTj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"text/plain": [
"<matplotlib.figure.Figure at 0x10cf1be80>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# Disasters/year from 1850-1960\n",
"disasters = np.array([4, 5, 4, 0, 1, 4, 3, 4, 0, 6, 3, 3, 4, 0, 2, 6, 3, 3, 5,\n",
" 4, 5, 3, 1, 4, 4, 1, 5, 5, 3, 4, 2, 5, 2, 2, 3, 4, 2, 1,\n",
" 3, 2, 2, 1, 1, 1, 1, 3, 0, 0, 1, 0, 1, 1, 0, 0, 3, 1, 0,\n",
" 3, 2, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0,\n",
" 1, 1, 0, 2, 3, 3, 1, 1, 2, 1, 1, 1, 1, 2, 4, 2, 0, 0, 1,\n",
" 4, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1])\n",
"N = len(disasters)\n",
"t = np.arange(1850, 1850 + N)\n",
"# Generate random test data for comparison\n",
"#disasters = np.random.poisson(size=N, lam=2.)\n",
"plt.plot(t, disasters);"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"Applied log-transform to mu and added transformed mu_log_ to model.\n"
]
}
],
"source": [
"with pm.Model() as model:\n",
" # Specify priors for tau, mu_1, mu_2\n",
" tau = pm.DiscreteUniform('tau', lower=t.min(), upper=t.max())\n",
" mu = pm.Exponential('mu', lam=np.array([1., 1.]), shape=2)\n",
"\n",
" # Poisson likelihood function for observed data\n",
" mu_1_or_2 = pm.Deterministic('mu_1_or_2', pm.math.switch(t < tau, mu[0], mu[1]))\n",
" D = pm.Poisson('D', mu_1_or_2, observed=disasters)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Goal: model posterior distribution of parameters given observed data\n",
"1. Choose a MCMC sampler (defaults are NUTS/Metropolis-Hastings)\n",
"2. Run chain for a while to reduce correlation with starting value (\"burn-in\")\n",
"3. Take every $n$th step as samples from the approximate posterior (\"thinning\")"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"100%|██████████| 10000/10000 [00:01<00:00, 6016.19it/s]\n"
]
}
],
"source": [
"with model:\n",
" step = pm.Metropolis()\n",
" trace = pm.sample(10000, step=step, njobs=1)\n",
" \n",
"burned_in = trace[5000:]\n",
"thinned = burned_in[::10]"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"We can get an idea of the behavior of our Markov chain by viewing the trace of one of the variables:"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Analyzing the posterior"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": 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gWltbkclkAAArV67EF77wBUyZMiWUQJtK+TcLdh2khH4/mUwgnU5KBUkzAaTT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Ks0J7Kbl5rEEfr9VN/eyzIW0OEPxKJmzuu0Esuhfd1Zz0GrmVjXvfTc5xYO7WJvgH4/xSxxHMfH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\ni/zaoRaK0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jS/qcs/qmuSbFdLyKAEcLQN5G/2Dtm7lGxU2S4/QiugBoTXFYLQWpmtnD9K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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x10cefbc88>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plt.plot(thinned['tau']);"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"`pymc3` also has its own built-in plotting functionality which helps quickly visualize the distribution of the variables of interest:"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": 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RjZaaeP/99+Nzn/sc+vr6AADvete7cOjQITzzzDP4xje+0ZA2N9pcPoX/8fqzKJg6AKAr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"text/plain": [
"<matplotlib.figure.Figure at 0x10df0dc88>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
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4DX+QB1gTHA4Tmn08BvZPfDfDb040w+m0ocYVxKhhfRO+z+m0KX9nZjqQlW6L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\nIiIiIiIiIiIyGBafiIiIiIiIiIjIYP4HfKZ5V2IcESAAAAAASUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x10eac5f60>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# Variable trace summary plots\n",
"pm.plots.traceplot(trace=thinned, varnames=['mu'], figsize=(12, 4));\n",
"plt.legend(['mu_1', 'mu_2'])\n",
"\n",
"pm.plots.traceplot(trace=thinned, varnames=['tau']);"
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": 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345cq3LtC5bk7lZ++XdWRETr99Om66qprNHHiaU2et6lzT506Tc8/v1ivvPKitm3bKq/X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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x10e00dc50>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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WJHn4HXu52iughYrzM+Usyq9wnJPNzz//JKfTqYiIMxUcXPt3OwMAgLKIwwb2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\nABjEIQAAAAziEAAAAAZxCAAAAOP/AVmzIqWPTpf+AAAAAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x10e8bf400>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# Detailed posterior distribution plots\n",
"pm.plots.plot_posterior(trace=thinned['mu'][:, 0], range=(0.0, 4.5));\n",
"pm.plots.plot_posterior(trace=thinned['mu'][:, 1], range=(0.0, 4.5));"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Autocorrelation plots give a rough idea of how close to i.i.d the samples from our posterior distribution are:"
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": 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YqEGDBumaa67R0KFD6XME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\nAAQYhnkAAAAAAAIMwzwAAAAAAAHm/wHLPYP4W5EMZgAAAABJRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x1062f69b0>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# Full chain (no burn-in or thinning)\n",
"pm.plots.autocorrplot(trace=trace, varnames=['tau', 'mu']);"
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": 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d2edAoJjNEbrtNuO3a3K5XC7jN2uc1157TU899ZS2bdvWunbo0CENHTpU77zz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\nWcrPz9fYsWMVFxenyZMnKzs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My87OVnx8vM1YXFycvvnmG5p9AADqQG5urqtT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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x10e0046d8>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# Chain with 5000 burn-in iterations\n",
"pm.plots.autocorrplot(trace=burned_in, varnames=['tau', 'mu']);"
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": 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1tm5IAAAAAACCSNAfxp+cnKxjx46pqalJERFn3puoqamR1WpVfHy8x9zq6mq3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\nQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x10e004160>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# Chain with 5000 burn-in iterations, thinned by 10x\n",
"pm.plots.autocorrplot(trace=thinned, varnames=['tau', 'mu']);"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"We can also make inferences about the values of other functions/transformations of the parameters:"
]
},
{
"cell_type": "code",
"execution_count": 11,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": 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NmDBBTzzxhP2s7YsvvqjU1NRyjVezZk399a9/1V//+lcdPXpUW7ZsUVxcnKZMmaKFCxeW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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x10f181208>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# Posterior distribution of change in mean (mu_2 - mu_1)\n",
"change = thinned['mu'][:, 1] - thinned['mu'][:, 0]\n",
"ci = np.floor(0.975 * len(change))\n",
"plt.hist(change);\n",
"plt.title('Change in means: {:1.3f} (± {:1.3f})'.format(\n",
" np.mean(change), np.abs(np.percentile(change, 2.5) - np.percentile(change, 97.5)) / 2));"
]
},
{
"cell_type": "code",
"execution_count": 12,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": 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1WINS8GgquKOgZWaspwis+6MZa3qs86WngpOxBgAAwHwQWDdUVApuW47ciUvB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FkC2+0tVCKEqGEiwoAp87K4o7xxBXeo4Gsg1sSES8ttMhHQ5vrQPw87wyxpbnediNF5DH8u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WMM6+75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\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MUHD+DLrGUKusLJKcQqyD1UespU2S5mc/d7RI9yvx5mmwEDvWZUu7sIigbRjyMidyrOn2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\nyAMsrImIiIiIiIg88P8988Jrd/PzUgAAAABJRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x10f75df98>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# and we can also plot realizations of the model from the posterior!\n",
"plt.figure(figsize=(12, 10))\n",
"realizations = pm.sample_ppc(trace, model=model, samples=3)\n",
"for D_i in realizations['D']:\n",
" plt.plot(t, D_i, '-o')"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Convergence Diagnostics\n",
"\n",
"Several metrics of convergence are available in `pm.diagnostics`, e.g.:\n",
"- Geweke score: compares mean of beginning of chain with mean of end\n",
"- Gelman-Rubin: compare variance between chains to variance of single chain"
]
},
{
"cell_type": "code",
"execution_count": 13,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": 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It0cwW/+8sWyHU3vgl0c53141laRahpJqhDbFM2o8bIp0/2D6nilnPDx8Uxh64F+yYJaz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\nKAUAIDmhFACA5IRSAACS+//m36bLPISKlwAAAABJRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x10fab2748>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# Plot Geweke score for tau: should lie between -1 and 1\n",
"plt.plot(pm.geweke(trace['tau'])[:, 1], 'o')\n",
"plt.axhline(1, c='red')\n",
"plt.axhline(-1, c='red')\n",
"plt.gca().margins(0.05)"
]
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 3",
"language": "python",
"name": "python3"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 3
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"version": "3.5.2"
}
},
"nbformat": 4,
"nbformat_minor": 0
}
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