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@fkloosterman
Created July 26, 2017 21:29
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{
"cells": [
{
"cell_type": "code",
"execution_count": 1,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"import numpy as np\n",
"import pymc3\n",
"import theano\n",
"import pandas\n",
"import scipy.stats\n",
"\n",
"import matplotlib.pyplot as plt\n",
"import seaborn as sns\n",
"\n",
"%matplotlib inline"
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {},
"outputs": [],
"source": [
"N = 200\n",
"X = pandas.DataFrame({'constant':np.ones(N), 'var':np.random.normal(size=N)})\n",
"beta_true = pandas.Series({'constant':25, 'var':20})\n",
"mu_true = np.dot(X, beta_true)\n",
"var_true = 120\n",
"\n",
"# mu = m1-m2\n",
"# var = m1+m2\n",
"\n",
"mu1_true = (var_true + mu_true)/2\n",
"mu2_true = (var_true - mu_true)/2\n",
"\n",
"Y = scipy.stats.skellam.rvs(mu1_true, mu2_true)"
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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siS1/TFU/N5dPyCSfV99tprtvmLuuX0pWRmKN93slUn1eygqzaLzYR9/ACNmZyfPczdyI\n6xyAqn5pwqTD4+btBbZPWP4QsGuSTd1wmfmMmVY4HOG5/XX4Ujzcfs0Sp+MsuMpANo0X+2i42Mfq\nJYur2wsz/+xOYJPQ3jwZpLVjgO3ryyjIWZw3fk2nstjuBzCzZwXAJKxIJMLu18/jAe66fqnTcRyR\nk5WKPzOV5rZ+wmEbJMZcHisAJmGdON9BbXMPV68OUF6U+CN+zYbH46GiOIvh0TBt3c5dkmoSkxUA\nk7B27492+/Chbcm59z9mrPhZM5C5XFYATEI639zD0XPtyJJ8VlTkOR3HUWVFWXiAxos2PoC5PFYA\nTEJ6dv95AD60bZnDSZyXnppCUV4GF7sGGB4JOR3HJBArACbhBDsHOHiilaqAn401i7vXz3hVFGcT\niUBzux0FmPhZATAJ55evnScSibb9ezzJ0e3DTCqKo30BWTOQuRxWAExCCXYO8Oo7TZQWZnHd2hKn\n47hGcV4mqT4vTW12ItjEzwqASSi/2FdLKBzhd3dUk+K1t+8Yr9dDWWEWPf0j9PQPOx3HJAj7BJmE\n0do5wKvvNFNelMX1a0udjuM65bFmoCZrBjJxsgJgEsYvXq0lHInwkR3VSdPl8+WoGLsfwJqBTJys\nAJiE0HCxj1ffbaKiOJvr1tje/2TGuoVosm4hTJxmMyKYMVPa83bDFW9j1+bKD0z7yctniETg3p0r\nbO9/CmPdQpys76Kta5C83MU9LrK5cnYEYFzv1IVO3jp1kZVVeVy1ssjpOK5Wbs1A5jJYATCuFolE\n+NGeMwB8ctcKu+5/BuXvdQthBcDMLK4mIBF5DNgGRICHVfXguHm3AY8CIWC3qj4Sm74B+CnwmKp+\nMzZtCdEB4VOIjiv8aVUdmrunYxabN08GOXWhi80ri1lVZQOezCQtNYXi/Awudg0yZN1CmBnMeAQg\nIjuBVaq6HXgAeHzCIo8D9wA7gDtEZJ2IZAPfAF6asOxXgX9U1ZuA08AfX2F+s4iNjIZ46tenSfF6\n+OQtK5yOkzDKi6LdQjS09jodxbhcPE1AtwLPAKjqcaBARHIBRKQGaFfVelUNA7tjyw8BHwYaJ2xr\nF/Cz2O8/B2670idgFq8XDtZzsWuQW7dWJW1//7Mxdj9AfUuPw0mM28XTBFQGHBr3dzA2rTv2Mzhu\nXiuwQlVHgVERmbit7HFNPq1A+XQPXFCQhc+XMum8QCAnjujOcnvG+ciX48+44m0EAjm0dQ3wy9fO\nk+dP448+uhH/ZQx4PhcZ3PhY8crKSifV10B9aw87t1Ql5ftwLrk9H8w+42wuA53uLNzlnKGbcdmO\njsnvaAwEcggG3b134/aM85Wvp/fKR6UKBnv43q9OMjgc4r7fWclA7yADl7HducgQjxx/xoI91uUq\nLcjkQrCPpmBPUr4P54rb88HkGeMtCPE0ATUS3dMfU0H0BO5k8yr5YLPPeL0ikhnnsiZJHT/fwZ5D\nF1hWlsPNmyqcjpOQymODxTfZ1UBmGvEUgBeAewFEZAvQqKo9AKpaC+SKSLWI+IC7Y8tP5UWiJ4yJ\n/XxulrnNIhUKh/n+84rXA394l9hNX7NUURTrHrrN+gUyU5uxCUhV94nIIRHZB4SBh0TkfqBLVZ8G\nHgSejC3+lKqeFJGtwNeBamBERO4FPgH8FfA9EfkscB747lw/IZPYjp7roLm9n7t3LKe6LNfpOAkr\nNzsNf2YqzW39hCMRvHb/hJlEXOcAVPVLEyYdHjdvL7B9wvKHiF7xM5nbLyOfSSLdfcMcOdNGZnoK\nZcXZc9KtRLLyeDxUlfo5UdtBXUuPFVMzKbsT2LhCJBLhwPEWwuEI16wpIT118qu/TPyWlERPBB49\n1+5wEuNWVgCMK5xv6aXxYj/lRVlUl7n/srtEUFXiB+BYbYfDSYxbWQEwjhseDXHweAter4fr15Va\nfz9zJCsjlYKcdE5d6LRuIcykrAAYxx0+1cbAUIiNNYXkZqc5HWdRKS/KYjQU4VR9p9NRjAtZATCO\n6ugZ5ERdBzlZqWxYXuh0nEWnInY/gDUDmclYATCOiUQivH60lUgErltbSkqKvR3nWklBJr4UL0dr\n7USw+SD7xBnHnG3sJtg5wNJSP5UB6+xtPvhSvKyqyqO+tZeuvmGn4xiXsQJgHDE8EuKQBknxerhm\nTYnTcRa19bGmteN2FGAmsAJgHPHWqYsMDofYtKLosnr6NJdvfXW0AFgzkJnICoBZcG1dg5ys6yQ3\nO411duJ33i0p9ePPTOVYbQeRSMTpOMZFrACYBRWJRNh/rIUIcN3aElKss7d55/V4WFddQEfPEE3W\nOZwZxwqAWVDnmnq42DXIsrKc9y5RNPNvnTUDmUlYATALJhQK89bJIF6Ph62rA07HSSrrqgsAOGb9\nAplxrACYBXOirpO+wVHWLMvHn2UnfhdScV4mpQWZnKjvZDQUdjqOcQkrAGZBDA2HeOdMG2k+Lxtr\nipyOk5TWLS9kaDjE2cZup6MYl7ACYBbEu+faGR4Ns3FFEelp1tWzE8YuBz1m5wFMTFwDwojIY8A2\nIAI8rKoHx827DXgUCAG7VfWRqdYRkZtjy44AfcCnVdU6KVnkBodH0boOMtN9rFma73ScpLVmaQFe\nj4ejte187KYap+MYF5jxCEBEdgKrVHU78ADw+IRFHic6vu8O4A4RWTfNOv8APKCqtwD7gM/OzdMw\nbnb0XAejoQgbawqtvx8HZWX4WF6Rw7nGHvoHR52OY1wgnk/jrcAzAKp6HCgQkVwAEakB2lW1XlXD\nwO7Y8lOtcxEYawAuiP1tFrHxe/+rqvKcjpP01lcXEo5EOFFnB94mviagMuDQuL+DsWndsZ/BcfNa\ngRVA8RTr/G/AyyLSAXQAX57ugQsKsvD5Jm8vDgTcP2qU2zPOR74cf8Ylf79zpJHRUITtG0vJz8u6\nom25kdsz5vgzLvl/3nF1FT97tZbTTT3cucMdzUDJ+DmZa7PNGNc5gAmmu3Vzqnlj078BfFxVXxWR\nvwc+xweblN7T0TH5XYuBQA7BYE8cUZ3j9ozzla+nd/C936NX/lwkM93H0kDWJfNmkuPPuKzlneD2\njGP5xv8/F2b5yEr3cfBoE603L3d89LVk/ZzMpckyxlsQ4mkCaiS69z6mAmiaYl5lbNpU62xS1Vdj\n034FXBNXSpOQTtZ3MhqKsK66wNr+XSLF62VDTSFt3UM0XuxzOo5xWDyfyheAewFEZAvQqKo9AKpa\nC+SKSLWI+IC7Y8tPtU6ziKyLbfda4NQcPhfjIqFQmOPnO0j1eVm1xNr+3WTsPowjZ9scTmKcNmMT\nkKruE5FDIrIPCAMPicj9QJeqPg08CDwZW/wpVT0JnJy4Tmz+nwL/n4iMAO3AH8/t0zFucbapm8Hh\nEOuXF5A2xXkc44yxAvDOmTY+dP0yh9MYJ8V1DkBVvzRh0uFx8/YC2+NYB1XdR/RyUbOIRSIRjp3r\nwOuBtcsKnI5jJsjNTqO6LIdTF7oYGBolM302pwLNYmANs2bONQT76OobZnl5LlkZ1uePG21aUUQo\nHLG7gpOcFQAz58auMV9bbXv/brVxRew8wBk7D5DMrACYOdXdN0zjxX5KCjIpzHX3NfLJbHlZLv7M\nVN4522ajhCUxKwBmTmldJwBiff64mtfrYUNNIZ29w9S39jodxzjECoCZM0PDIU43dJGZnsLSUvff\nPZnsNo1dDWSXgyYtKwBmzrx+rJmR0TCrqvJtrN8EsKGmCA/Ry0FNcrICYObMb95qwOOB1XbjV0Lw\nZ6ZSU5nL6YZu+gZHnI5jHGAFwMyJ2uZu6lp6qQr47dLPBLKppohwJMJRGys4KVkBMHNi7+Fo91DW\n7UNiGbsc1M4DJCcrAOaKDQ2HeP1oMwU56VQUZzsdx1yGpaU55Gan8c7ZdsJ2OWjSsQJgrtjBE60M\nDoe4aVM5Xoe7FzaXx+vxsLGmkO6+Yc43u7vbYzP3rACYK7b3cCMe4MZN5U5HMbNw1YpiAN4+ZQP0\nJRsrAOaKNLX1cbqhi3XLCynOy3Q6jpmF9csL8aV4eMsKQNKxAmCuyL53mwG4yfb+E1Zmuo+1ywq5\nEOwl2DngdByzgKwAmFkLhyPse7eZzPQUNq8sdjqOuQJXr7JmoGQUV0fgIvIYsA2IAA+r6sFx824D\nHgVCwG5VfWSqdUQkFfgusBLoAe5V1Y45fD5mAZ2o66CjZ4ibryonLdUGfUlkV60shueVt04Fuf3a\nJU7HMQtkxgIgIjuBVaq6XUTWAv/CpQPAPA7cCTQAL4vIj4HAFOv8CRBU1d8Xkf8FuAn42Zw+I7Ng\nxpp/bthgzT9utufthriWK87LQOs7ef5AHelplxb0XZsr5yOacVg8TUC3As8AqOpxoEBEcgFEpAZo\nV9V6VQ0Du2PLT7XOR4B/jU3/tqral3+CGhwe5ZAGKc7LYFWV3fy1GCwp8ROJQIMNFp804ikAZUBw\n3N/B2LTJ5rUC5dOsUw18SET2iMi/iUjhLHMbhx3SIEMjIW7YUIbHrv1fFJaU+AGoa7H7AZLFbAYD\nne7TPtU8z7ifqqpfEZH/DHwZ+I9TbaygIAvfFAOKBwLu727Y7RmvJN8bJ48A8JGdKwkUvX/3b45/\n7gaBmcttzRe3Z7ycfP7sdPL96TRe7CcjI41U3/v7h/P5Xl7Mn5OFMtuM8RSARt7f4weoAJqmmFcZ\nmzY8xTotwMuxac8DX5nugTs6+iedHgjkEAy6ey/F7RmvJF979yBHTl1kVVUeKeHwJdvp6R2ck3w5\n/ow529Z8cXvG2eSrKsnm3bPtaG0by8re/1KZr/fyYv6cLJTJMsZbEOJpAnoBuBdARLYAjaraA6Cq\ntUCuiFSLiA+4O7b8VOs8C9wV2+5WQONKaVzltaPNRIAbNpTNuKxJLMtiA/mct2agpDDjEYCq7hOR\nQyKyDwgDD4nI/UCXqj4NPAg8GVv8KVU9CZycuE5s/uPAd0XkAaAX+MO5fTpmvkUi0Wv/fSlerl1T\n6nQcM8cKc9PxZ6bS0NpHKBQmJcVuFVrM4joHoKpfmjDp8Lh5e7n0stCp1kFV+4FPXmZG4yK1zT00\ntfVz3doSsjJmcwrJuJnH42FpqZ9jtR00tvW/d2LYLE5W3s1lefWd6Okfa/5ZvMba/uusd9BFzwqA\nidtoKMz+Yy3kZqexfrldwbtYFedlkJXho761l1DYxghYzKwAmLgdOdNG3+Ao29aVkuK1t85i5fF4\nWFaaw/BomCa7KWxRs0+xiZs1/ySP6vJoM9C5pm6Hk5j5ZAXAxKWnf5gjZ9pYUuJnaan7b4wxV6Y4\nLwN/Zir1rb2MhsJOxzHzxAqAicuB462EwhHb+08SHo+H6vIcRkMRLgStGWixsgJg4rLv3Sa8Hg/b\n1tm1/8lieXkuALXWDLRoWQEwM2q82Me5ph421BSS5093Oo5ZIPn+NPL8aVwI9tE/OOp0HDMPrACY\nGdnJ3+Tk8XhYXp5LOBzhzZPBmVcwCccKgJnWaCjMq+82k53h4+pVAafjmAW2PHY10GtHmx1OYuaD\nFQAzrXfOttHdN8y29WWXdA9skkNOVholBZmcON9BW5d7ez41s2OfaDOt3x6JNv/ctMmGfUxWKypy\niQD77Chg0bECYKbU1TvE4dNtLCvNsWv/k9iyshxSfV72vdtMJGJdQywmVgDMlPYdbSYciXCj7f0n\ntbTUFK5eVUxLez9nG+2S0MXECoCZVCQS4bdHmvCleLnerv1Pejs2RncCXn3XmoEWEysAZlJnGrpp\nautny+pi/JmpTscxDltfXUieP439x1oYGgk5HcfMkbhG9BCRx4BtQAR4WFUPjpt3G/AoEAJ2q+oj\ncaxzJ/Ccqk43wLxx0CtHGgG46aoKh5MYN/B6Pdy4sZxfvnaeN060vndEYBLbjEcAIrITWKWq24EH\niA7rON7jwD3ADuAOEVk33ToikgF8mfcHljcuMzg8yoETrRTlprN2WYHTcYxL3BzbGXj5cKPDScxc\niacJ6FbgGQBVPQ4UiEgugIjUAO2qWq+qYWB3bPkp1wH+E/CPwPBcPhEzdw6eaGVoOMSOjeV4PXaQ\nZqIC+ZmsX17I6QtdNNg4AYtCPE1AZcChcX8HY9O6Yz/H3yPeCqwAiidbR0TKgKtU9S9F5GszPXBB\nQRY+X8qw193GAAAUXklEQVSk8wIB91+W6PaMU+Xbf7wVjwc+umsVgcKsy9pmjj9jLqLN+bbmi9sz\nzlW+sffKR25ewdFz7Rw8GWTz2rnpGiRRPyduMtuMsxnVe7pdwqnmjU1/DPgP8T5QR0f/pNMDgRyC\nQXePV+r2jFPla7zYx7Fz7axdVoAnFLrs59DTOzd3i+b4M+ZsW/PF7RnnMt/Y+6CmJJvcrFReOlDH\nv7tuCalT7KDFK1E/J24yWcZ4C0I8BaCR6J7+mAreb7+fOK8yNm14knWGgDXAv4oIQLmIvKyqO+NK\naubdnrcb2H+sBYCSgkz2vN3gcCLjNr4ULzs2lfPs63UcOG4ngxNdPOcAXgDuBRCRLUCjqvYAqGot\nkCsi1SLiA+6OLT/ZOudVdYWqblPVbUCTffm7y/BoiDMNXWRl+FhS4nc6jnGpW66uxOOBFw9dsDuD\nE9yMRwCquk9EDonIPiAMPCQi9wNdqvo08CDwZGzxp1T1JHBy4jrzE9/MpbMN3YyGImyoycfrtZO/\nZnLFeZlsWRXg0MkgZxq6WVmV53QkM0txnQNQ1S9NmHR43Ly9wPY41pk4vzqexzYLIxKJcKKuE6/H\nwyr7QJsZ3HZNFYdOBnnxUL0VgARmdwIbAI6d76C7b5jq8hwy02dzbYBJJquX5FMV8PPGiSDt3e49\nEW6mZwXAAPDCgXoA1izNdziJSQQej4fbrqkiHInwm7fsYoFEZQXAUN/ayztn2ygtyKQ4P9PpOCZB\nbFtXSk5WKr95s4GBIRszOBFZATA8u/88AOuXFzqcxCSStNQUbrtmCf1Do7z8tnUPkYisACS5i10D\nHDjWSmUgm8pAttNxTIL5nS2VpKel8PzBOkZGw07HMZfJCkCSe+FAPeFIhA9dvxSP9ftjLlN2Riq3\nbK6kq3fYBo5PQFYAklhn7xB7DzdSmJvOdWtt0BczO7dfuwRfiofdr58nFLajgERiBSCJ/fK18wyP\nhrn7hmp8KfZWMLNTkJPOjo3ltHYM8PrRFqfjmMtgF3wnqdaOfl5+u4FAfgY3Wn8uZgYz9QtVlJeB\n1+PhqV+fZnAkRMokd5Lv2lw5X/HMLNluX5J66lcnGQ1F+OiNy23v31wxf2Yqq5fm0TswwpkLXU7H\nMXGyT34Sam7v58WDdZQXZbFt3dz06W7MxpoiUrwejpxpIxSycwGJwApAEnrqpVOEwxE+flONdfpm\n5kxmuo81ywroHxrlRF2n03FMHKwAJJkjZy5y+Ewbm1YWs1UCTscxi8yG5YWkpXo5cqbN7g5OAFYA\nksjIaJgnXzyF1+PhTz620a77N3MuPS2FzSuLGRkN8/api07HMTOwApBEfvVGPS0dA9yypZLq8lyn\n45hFavWSfPL9aZy60EWb9RTqalYAkkRTWx/PvHKOnKxUPnbTcqfjmEXM6/VwzZoSAA4eb7VRw1ws\nrvsAROQxYBsQAR5W1YPj5t0GPAqEgN2q+shU64jIEuAJIBUYAf5AVe3+8XkWCof5p18cZzQU5t/f\nuY7sjFSnI5lFrqI4m6WlfupaejlZ34ksLXA6kpnEjEcAIrITWKWq24EHgMcnLPI4cA+wA7hDRNZN\ns87fAN+OjQX8NPCFuXkaZjrP7a/jXFM329aVslVKnI5jksR1a0tJ83k5pEF6B0acjmMmEU8T0K3A\nMwCqehwoEJFcABGpAdpVtV5Vw8Du2PJTrfM54Mex7QaBojl8LmYS55q6eeaVc+T50/j921c7Hcck\nkawMH9esKWE0FGH/0RZrCnKheJqAyoBD4/4OxqZ1x34Gx81rBVYAxZOtExswHhFJITpQ/Fene+CC\ngix8vpRJ5wUCOXFEd5bTGbt6h/jWT48SjkT4wu9vZfnSS/v7n5gvx5+xkPFm5LY8k3F7RqfzbZZ0\n6oO91Lf0cuh0Gx+64YPnn5z+nMzE7flg9hln0xfQdNcOTjXvvemxL//vA79W1Zeme6COjv5JpwcC\nOQSDPTPEdJbTGcPhCP/ww7e52DnAx2+uYUlh5iV5JsvX0+ueKzZy/BmuyjMZt2d0S77r1pbQ2j7A\nt595l5LcdJaWvv9l5fTnZCZuzweTZ4y3IMTTBNRIdE9/TAXQNMW8yti06dZ5Ajilql+JK6G5bJFI\nhH/79SmO1XaweWUx/277MqcjmSSWnZHKjo1ljIbCfOunR+0GMReJpwC8ANwLICJbgEZV7QFQ1Vog\nV0SqRcQH3B1bftJ1RORTwLCq/tWcPxPznmf31/HiGxeoKM7mM3evxWs3fBmHVZX4ufO6JbS09/Mv\nu48TtvMBrjBjE5Cq7hORQyKyDwgDD4nI/UCXqj4NPAg8GVv8qVg7/8mJ68TmPwRkiMie2N/HVPVz\nc/d0zCtHGvnRnjMU5qbzhfuuIssu+TQucc/OFZxr6uGQBvnRnjPcd8tKpyMlvbjOAajqlyZMOjxu\n3l5gexzroKo3XG5AE7+9hxv57rMnyM7w8YX7NlOY6+4TlCa5+FK8/NknNvLo9w/x3P46AnkZ3Hfn\nWqdjJTW7E3iReOFgPd959gTZmal88X+6mopiG+DduI8/M5XP33cVOVmp/PcXTvLigfNOR0pqNiJY\ngguHI/xozxmeO1BHZnoKv7O1knPN3Zxr7p52PbdcIWKST0l+Jl+4bzN//29v8V+fept/f5fYaGEO\nsSOABDYwNMrjPz7CcwfqyM1O467rl5LvT3c6ljEzWlaWw5///hby/Gl87znlZ6+esxPDDrACkKBq\nm7v56ncOcuRMG+uXF/LhbUvJyUpzOpYxcVtS4ufRB3dQlJvOM6+c41tPv2uXiC4wKwAJJhyO8PyB\nOv72e4do6RjgruuX8vlPbiItdfI7po1xs6Vlufwf91/LmqX5HDoZ5KvfOYjWdTgdK2nYOYAE0nix\njyeePc6Zhm5ys9P4zN1r2bDculMyiS03K40v/N5mfrL3LM/vr+O//OAtdl1dycduWk6uHdXOKysA\nCWBoOMQvXz/Pc/vPMxqKcO2aEj51+2pys+3DYRYHX4qX+25ZydbVAZ549gR73mrgtXebuf3aKm6/\nZok1b84TKwAuFg5HeP1YMz9++SwdPUMU5KTzqdtXs2W1jeVrEs+etxs+MG2yq9Fu2VLBqfou3jnb\nxi/2nWf3a3UsLfWzsiqP0sIsUrxXdme7XXH0PisALhSJRDh8uo2f7D3DhWAfvhQvd9+wjA9vW0ZG\nmv2XmcUtxetlzbICVlblcaq+i5MXOqlt7qG2uYdUn5eK4mxKCzMpLcgkz59uXZ1cAfs2cZHRUJgD\nx1t4bn8dF4J9eIAdG8r46I3LKc7PdDqeMQvKl+JlbXUBa5blE+wc5HxzD/WtvZxv7uF8c7T3yxSv\nh9zsNApy0snzp5HvTyffn0Z2ZqoVhjhYAXCBgaFR9h5u5Fdv1NPePYTX4+H6daXcvX0ZlQG/0/GM\ncZTH46GkIJOSgkyuWROgu2+E1s5+WjsG6OgZoqt3mI6eoUvWGSsMef408rPTyPNHC4SdVL6UFQCH\nRCIRzjZ189sjTew/1sLgcIi0VC+3ba3ijmuX2B6/MZPweDzk+aNf7Kuq8gEIRyL09o/Q2RstBp29\nQ3T1DU9ZGA4cb2VFRS4rKvNYUZFLXhLfPGkFYIF19Q3z+tFmfnukiYaLfQAU5KTzoeuXcsuWKvyZ\n1nunMZfD64nu7edmp0Hp+9MjkQi9AyPvFYPO3iHaugY5Vd/JyfrO95YrK8xifXUh65YXsGZpAZnp\nyfO1mDzP1EGtnQO8qUHeOhXk9IUuIoAvxcO1a0q4aVM5rV0DeD0e3tBWp6Mas2h4PB5ystLIyUqj\natyFc9evLaW2qZvTjd2caehC6zt56c0LvPTmBbweDzWVuayvLmR9dSGFhYu7U0UrAPNgcHiUN0+0\n8vo7Dbxzpp0LwV4gOi7mqqo8tq4pYfv6svf29ie7PM4YMz8y032srS5kbXV0jOzRUJizjd0cPdfO\nsdp2zjR0cfpCFz/97Tky0w8jS/JZW13AuupCKoqy8Cyik8tWAK5QJBLhYtcgdS09nGvqQes6ONfU\n817HVr4UD5tWFLFldYDNK4vt5i1jXMaX4mX1knxWL8nn4zfX0D84wvHznRyrbefkhU7ePn2Rt09f\nBCDPn8bqqnxWVORSU5nHslI/qb7E7YYlrgIgIo8B24AI8LCqHhw37zbgUSAE7FbVR6ZaR0SWEB0Q\nPoXoGMGfVtVLz9K41MhoiItdgwQ7B2jtiP6rb+2lrrX3kg6svB4Py8tzuHpNKUsDWayszLNr941J\nIFkZqWyVAFslQCCQw4nTQY6db+d4bQfHzndw8EQrB09Em2tTvB6WlvqpLPZTXpRFWVEW5UXZBPIz\nSPG6v6u1Gb+ZRGQnsEpVt4vIWuBfuHQEsMeBO4EG4GUR+TEQmGKdrwL/qKr/Q0QeBf4Y+NacPqOY\n3oERevqHCUcgEo4QjkSIRKJXDITDEUZGwwyNhBgaCTE8Eo79jP7dPzhKz8AI3X3D9PQP090f/X0i\nD1BSmMXGmkKWluawtNTPioo8MtN9BAI5BIM98/HUjDELqCgvg5s2VXDTpor3jvjPNHZxtqGbM41d\n1LX0cq7p0s+6xxPt42j8vQk5WWlkpKWQkeYjMz2FzDQfqT4vKV4PKSljPz2keKO/F+dlzHsnj/Hs\nmt4KPAOgqsdFpEBEclW1W0RqgHZVrQcQkd2x5QOTrQPsAv40tt2fA19kHgpAV+8QX/x/9hEKX3n/\n4pnpPnKyUqksLiCQn0FxXiaB/Oi/iuIs27s3Jol4PJ73Pv/b1pUB0XMIwc4Bmtv6aWrvp+liH62d\nA3T1DtPc1k9dS++sHmtFZS5/8elr5jL+B8Tz7VUGHBr3dzA2rTv2MzhuXiuwAiieYp3scU0+rUD5\ndA8cCORMebYlEMiZbj2e+drvTrfpBTFdxvE+efuaeU5ijJmteD7H5WV5bFqALFOJ97tmotk0Uk13\nCnyqeZNNXzyn0o0xJgHFUwAaie69j6kgegJ3snmVsWlTrdMrIpkTljXGGOOAeArAC8C9ACKyBWhU\n1R4AVa0FckWkWkR8wN2x5ada50Xgnth27wGem7unYowx5nJ4InEMxCwi/xdwMxAGHgKuBrpU9WkR\nuRn4L7FFf6yqfz/ZOqp6WETKge8BGcB54I9UdWSOn5Mxxpg4xFUAjDHGLD7uv1PBGGPMvLACYIwx\nSSph7mISkb8Abo/96QXKVHW1iOwBsoG+2Lz/XVUPTbKJeSci9wOPAGdik36lqn8rIlcRveEtAhxR\n1QcdyucD/pnovRo+4Iuq+ls3vYYwfdcjThKRvwNuIvra/Z/A7wJbgbbYIl9T1V86lG0X8D+Ao7FJ\n7wB/h4u6XhGRB4BPj5t0DfAjHH4NRWQD8FPgMVX95lRd1ojIp4DPEz2v+W1V/WeHMz4BpAIjwB+o\narOIjACvjlv1VlUNTbXdhCkAqvq3wN8CiMgfAiXjZv+Rqr7rSLAPekpVvzhh2v/N+/0h/UBEPqSq\nzzqQ7dNAn6reKCLrib6BrovNc8VrGEfXI44QkVuADbFcRcBbwK+BL6vqL5xN956XVfXesT9E5AkW\nqOuVeMS+MP85lm0ncB/RHQ/HXkMRyQa+Abw0bvIHuqwRke8Bf0n08zIMHBSRp1W13aGMf0O0CP1Q\nRB4CvgD8OdGLc3bFu+2EawKK7cU+CHzT6SzxEJE0YPm4vdifA7c5FOe/E32jQPTu7CKHckznkq5H\ngLFuRJy2F/hk7PdOol9cbu8Gchfws9jvTr7vJvOXRI+WnTYEfJhL70naxQdft+uBg6rapaoDRPey\ndziY8XPAj2O/z/qznDBHAON8Ang+9p8w5qsiUgwcBz4/Yd5C2ykizxE9NPsi0AJ0jJs/YxcY8yV2\nye3YZbefB34wbrZbXsPpuh5xTOwweqyJ7AFgN9EecP9MRL5A9P/1z1T1okMRAdaJyM+AQuArXGbX\nKwtFRK4F6mNNFuDga6iqo8BoLMeYyV63ybq9WZDXc7KMqtoHICIpRC/N/2psVoaI/ABYRvSy/H+Y\nbtuuLAAi8hngMxMm/5WqPk/0w/fZcdP/K9F29TMi8i2iL8bfO5TxSeCvVfWXIrKd6D0Pd05YZkG6\nwJjuNYwdMm4BPhKb7shrGCdXdRkiIh8l+h68g2gbdpuqvi0iXwL+Gvgzh6KdIvql/0OgBvgNl36+\n3fQ6fgb4Tuz37+Oe13Ayl9O9zYKKffl/H/i1qo41D32R6JF+BNgrIntV9Y2ptuHKAqCq/wT808Tp\nsbawqtgdyGPLPj1ukZ8DvzfvAZk647j5r4lIgOjJrfGHZwvSBcY0r+EDRL/4PzZ2E55Tr+EUput6\nxFEicifwF8BdqtrFpW2yP8PZ9vUG4KnYn2dEpBm4VkQyY0dzbup6ZRfwvwKM++ICh1/DcXoned0m\n6/bmdSfCjfMEcEpVvzI2QVX/37HfReQlYCMwZQFItHMAVwEnxv4QEY+IvCgi+bFJuwDHTmSKyJ+L\nyP8c+30DEIwdSp4QkRtji30Ch7rAiHXf/afAJ1R1MDbNVa8h03Q94iQRyQO+Btw9duJPRH4ce03B\n+ffep0Tki7Hfy4gOj/4ELut6RUQqgF5VHY797ZrXcJzJuqzZT7Sg5ouIn2j7/ysO5SN2RdKwqv7V\nuGkSu8jEEztXuoP3rwqblCuPAKZRTrTtDQBVjYjIt4GXRKSP6KA0f+1QNoi2qX9fRP6U6Gv7QGz6\n54H/JiJeYL+qvuhQvs8QPRrZPa498Q7ANa+hqu4TkUMiso/3ux5xg98j2s35D8e9dk8AT4lIP9AL\n/JFD2SC69/yDWBNVGtELJd4CvicinyXa9cp3Hcw35pLPMNGLORx7DUVkK/B1oBoYEZF7gU8B3xn/\nuqnqSKyJ6nmizStfiR0FOpWxBBiMXcINcExVPyci9cABop+dn6nqgem2bV1BGGNMkkq0JiBjjDFz\nxAqAMcYkKSsAxhiTpKwAGGNMkrICYIwxScoKgDHGJCkrAMYYk6T+f3uazBXEqe2aAAAAAElFTkSu\nQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f8579979ef0>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"sns.distplot(Y);"
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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v8/yOXalSxu+LIGjfkvRFK7JSteRvXtAcdpKVm7DjnvkZtEYcln/J3Xjdq8u+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\n/wdAqRVf1tABqgAAAABJRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f8579979860>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plt.plot(X['var'], Y, '.');"
]
},
{
"cell_type": "code",
"execution_count": 11,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"# copied from theano master branch\n",
"\n",
"from __future__ import absolute_import, print_function, division\n",
"# Definitions of theano.scalar ops that have their python implementation taken\n",
"# from SciPy. As SciPy is not always available, we treat them separately.\n",
"\n",
"import numpy as np\n",
"\n",
"import theano\n",
"from theano.gradient import grad_not_implemented\n",
"from theano.scalar.basic import (UnaryScalarOp, BinaryScalarOp,\n",
" exp, upgrade_to_float,\n",
" upgrade_to_float64,\n",
" float_types)\n",
"from theano.scalar.basic import (upgrade_to_float_no_complex,\n",
" complex_types, discrete_types,\n",
" upcast)\n",
"\n",
"imported_scipy_special = False\n",
"try:\n",
" import scipy.special\n",
" import scipy.stats\n",
" imported_scipy_special = True\n",
"# Importing scipy.special may raise ValueError.\n",
"# See http://projects.scipy.org/scipy/ticket/1739\n",
"except (ImportError, ValueError):\n",
" pass\n",
"\n",
"class Iv(BinaryScalarOp):\n",
" \"\"\"\n",
" Modified Bessel function of the first kind of order v (real).\n",
" \"\"\"\n",
"\n",
" @staticmethod\n",
" def st_impl(v, x):\n",
" return scipy.special.iv(v, x)\n",
"\n",
" def impl(self, v, x):\n",
" if imported_scipy_special:\n",
" return self.st_impl(v, x)\n",
" else:\n",
" super(Iv, self).impl(v, x)\n",
"\n",
" def grad(self, inputs, grads):\n",
" v, x = inputs\n",
" gz, = grads\n",
" return [grad_not_implemented(self, 0, v),\n",
" gz * (iv(v - 1, x) + iv(v + 1, x)) / 2.]\n",
"\n",
"iv = Iv(upgrade_to_float, name='iv')\n",
"\n",
"# added:\n",
"iv_tensor = theano.tensor.elemwise.Elemwise(iv)"
]
},
{
"cell_type": "code",
"execution_count": 19,
"metadata": {},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"Assigned NUTS to beta0\n",
"Assigned NUTS to beta1\n",
"Assigned Metropolis to var\n",
" 92%|█████████▏| 2296/2500 [00:54<00:05, 40.36it/s]/home/fabian/miniconda3/envs/fklab-user-env/lib/python3.6/site-packages/pymc3/step_methods/hmc/nuts.py:456: UserWarning: Chain 1 contains 21 diverging samples after tuning. If increasing `target_accept` does not help try to reparameterize.\n",
" % (self._chain_id, n_diverging))\n",
"100%|█████████▉| 2494/2500 [00:58<00:00, 67.59it/s]/home/fabian/miniconda3/envs/fklab-user-env/lib/python3.6/site-packages/pymc3/step_methods/hmc/nuts.py:440: UserWarning: The acceptance probability in chain 0 does not match the target. It is 0.562849026914, but should be close to 0.8. Try to increase the number of tuning steps.\n",
" % (self._chain_id, mean_accept, target_accept))\n",
"/home/fabian/miniconda3/envs/fklab-user-env/lib/python3.6/site-packages/pymc3/step_methods/hmc/nuts.py:456: UserWarning: Chain 0 contains 51 diverging samples after tuning. If increasing `target_accept` does not help try to reparameterize.\n",
" % (self._chain_id, n_diverging))\n",
"100%|██████████| 2500/2500 [00:58<00:00, 42.95it/s]\n"
]
}
],
"source": [
"# use class, because nested function cannot be pickled\n",
"class skellam_log:\n",
" def __init__(self, mu1, mu2):\n",
" self.mu1 = mu1\n",
" self.mu2 = mu2\n",
" def __call__(self, k):\n",
" total = (-mu1-mu2)+(theano.tensor.log(mu1)-theano.tensor.log(mu2))*k/2\n",
" log_prob = total+ theano.tensor.log(iv_tensor(k, 2*theano.tensor.sqrt(mu1*mu2)))\n",
" return log_prob\n",
"\n",
"with pymc3.Model() as model:\n",
" \n",
" beta0 = pymc3.Normal('beta0',mu=0,sd=100)\n",
" beta1 = pymc3.Normal('beta1',mu=0,sd=100)\n",
" \n",
" mean = beta0*X['constant'] + beta1*X['var']\n",
" \n",
" var = pymc3.DiscreteUniform('var',lower=1, upper=1000)\n",
" \n",
" mu1 = (var + mean)/2\n",
" mu2 = (var - mean)/2\n",
" \n",
" obs = pymc3.DensityDist('obs', skellam_log(mu1,mu2), observed=Y)\n",
" \n",
" trace = pymc3.sample(2000, njobs=2, tune=500, target_accept=0.99)"
]
},
{
"cell_type": "code",
"execution_count": 20,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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fiaSWJJTspY01M26b1lXCaoQV3mW51yqtbWEBo8HElNfK5DGWeD2d8dTH1Thx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\ngg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f857c7a15f8>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"_ = pymc3.traceplot(trace)"
]
}
],
"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": "3.6.1"
}
},
"nbformat": 4,
"nbformat_minor": 2
}
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