{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "autoscroll": "json-false",
    "collapsed": true,
    "ein.tags": [
     "worksheet-0"
    ],
    "slideshow": {
     "slide_type": "-"
    }
   },
   "outputs": [],
   "source": [
    "%matplotlib inline"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "ein.tags": [
     "worksheet-0"
    ],
    "slideshow": {
     "slide_type": "-"
    }
   },
   "source": [
    "# Analysis of An $AR(1)$ Model in pyMC3\n",
    "\n",
    "Consider the following AR(1) process, initialized in the\n",
    "infinite past:\n",
    "$$\n",
    "   y_t = \\theta y_{t-1} + \\epsilon_t,\n",
    "$$\n",
    "where $\\epsilon_t \\sim iid{\\cal N}(0,1)$.  Suppose you'd like to learn about $\\theta$ from a a sample of observations $Y^T = \\{ y_0, y_1,\\ldots, y_T \\}$.\n",
    "\n",
    "First, let's generate our sample."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "autoscroll": "json-false",
    "ein.tags": [
     "worksheet-0"
    ],
    "slideshow": {
     "slide_type": "-"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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sLmNgbzZqEE2kEMqztzy9cFpgqyMgrHVY9Wr4qBRTP7yhODyh+KqBnTGGPT1N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\nYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fecaba9c240>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "np.random.seed(seed=1848)\n",
    "\n",
    "T = 100\n",
    "y = np.zeros((T,))\n",
    "\n",
    "for i in range(1,T):\n",
    "    y[i] = 0.95 * y[i-1] + np.random.normal()\n",
    "\n",
    "plt.plot(y);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "ein.tags": [
     "worksheet-0"
    ],
    "slideshow": {
     "slide_type": "-"
    }
   },
   "source": [
    "Consider the following prior for $\\theta$: $\\theta \\sim {\\cal N}(0,\\tau^2)$.\n",
    "We can show that the posterior distribution of $\\theta$ is of the form\n",
    "\n",
    "$$\n",
    " \\theta |Y^T \\sim {\\cal N}( \\tilde{\\theta}_T, \\tilde{V}_T),\n",
    "$$\n",
    "\n",
    "where\n",
    "\n",
    "$$\n",
    "\\begin{eqnarray}\n",
    "        \\tilde{\\theta}_T &=& \\left( \\sum_{t=1}^T y_{t-1}^2 + \\tau^{-2} \\right)^{-1} \\sum_{t=1}^T y_{t}y_{t-1} \\\\\n",
    "        \\tilde{V}_T      &=& \\left( \\sum_{t=1}^T y_{t-1}^2 + \\tau^{-2} \\right)^{-1}\n",
    "\\end{eqnarray}\n",
    "$$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "autoscroll": "json-false",
    "ein.tags": [
     "worksheet-0"
    ],
    "slideshow": {
     "slide_type": "-"
    }
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "Auto-assigning NUTS sampler...\n",
      "Initializing NUTS using advi+adapt_diag...\n",
      "Average Loss = 146.18:   5%|▍         | 9054/200000 [00:00<00:12, 15100.19it/s]\n",
      "Convergence archived at 9700\n",
      "Interrupted at 9,700 [4%]: Average Loss = 222.3\n",
      "100%|██████████| 1500/1500 [00:00<00:00, 2316.42it/s]\n"
     ]
    },
    {
     "data": {
      "image/png": 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8i79tCfLlR7dy/nFzuXvZs5Q/9yK8647RwqlhGx033OAJp3soP+aV1/mltryW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\n3Nv58aYf8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qMpg3mvPInIZSKySUS2iMhnShxvEpHHROQFEXlZRC7PO3aLc94mEbl0amte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\nSaPRaDQajUaj0WjK4P8DRWZppV5gLHYAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fec560d5198>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import pymc3 as pm\n",
    "\n",
    "\n",
    "tau = 1.0\n",
    "with pm.Model() as ar1:\n",
    "    beta = pm.Normal('beta', mu=0, sd=tau)\n",
    "    data = pm.AR('y', beta, sd=1.0, observed=y)\n",
    "    trace = pm.sample(1000, cores=4)\n",
    "    \n",
    "pm.traceplot(trace);"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "autoscroll": "json-false",
    "ein.tags": [
     "worksheet-0"
    ],
    "slideshow": {
     "slide_type": "-"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Mean: 0.925 (exact = 0.925)\n",
      "Std: 0.040 (exact = 0.040)\n"
     ]
    }
   ],
   "source": [
    "mup = ((y[:-1]**2).sum() + tau**-2)**-1 * np.dot(y[:-1],y[1:])\n",
    "Vp =  ((y[:-1]**2).sum() + tau**-2)**-1\n",
    "print('Mean: {:5.3f} (exact = {:5.3f})'.format(trace['beta'].mean(), mup))\n",
    "print('Std: {:5.3f} (exact = {:5.3f})'.format(trace['beta'].std(), np.sqrt(Vp)))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "autoscroll": "json-false",
    "ein.tags": [
     "worksheet-0"
    ],
    "slideshow": {
     "slide_type": "-"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fecaba94d30>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import pandas as p\n",
    "from scipy.stats import norm\n",
    "ax=p.Series(trace['beta']).plot(kind='kde')\n",
    "xgrid = np.linspace(0.4, 1.2, 1000)\n",
    "fgrid = norm(loc=mup, scale=np.sqrt(Vp)).pdf(xgrid)\n",
    "ax.plot(xgrid,fgrid);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "ein.tags": [
     "worksheet-0"
    ],
    "slideshow": {
     "slide_type": "-"
    }
   },
   "source": [
    "## Extension to AR(p)\n",
    "We can instead estimate an AR(2) model using pyMC3.\n",
    "$$\n",
    " y_t = \\phi_1 y_{t-1} + \\phi_2 y_{t-2} + \\epsilon_t.\n",
    "$$\n",
    "The `AR` distribution infers the order of the process by size the of `rho` argmument passed to `AR`. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "autoscroll": "json-false",
    "ein.tags": [
     "worksheet-0"
    ],
    "slideshow": {
     "slide_type": "-"
    }
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "Auto-assigning NUTS sampler...\n",
      "Initializing NUTS using advi+adapt_diag...\n",
      "Average Loss = 164.21:   5%|▍         | 9136/200000 [00:00<00:12, 15333.83it/s]\n",
      "Convergence archived at 10500\n",
      "Interrupted at 10,500 [5%]: Average Loss = 261.27\n",
      "100%|██████████| 1500/1500 [00:01<00:00, 991.69it/s] \n"
     ]
    },
    {
     "data": {
      "image/png": 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v0EBtwcPeFODYglbdR/sx1fJJxqMpqtJnsnOcaP4KpNxGK5BMVz2mOy12jmhm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sKItcYOvX6XjusjLIkGAiT4HaJ+naizgfvgH0N3DVdbuLGmpwVxurLuoI9OE3ulwfdD4q0tepcu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\nX85zs04I8TMhhPt8rCdDtVXvpG4IIW5zzt8qhLjtr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      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fec48951cf8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "with pm.Model() as ar2:\n",
    "    beta = pm.Normal('beta', mu=0, sd=tau, shape=2)\n",
    "    data = pm.AR('y', beta, sd=1.0, observed=y)\n",
    "    trace = pm.sample(1000, cores=4)\n",
    "    \n",
    "pm.traceplot(trace);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "ein.tags": [
     "worksheet-0"
    ],
    "slideshow": {
     "slide_type": "-"
    }
   },
   "source": [
    "You can also pass the set of AR parameters as a list. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "autoscroll": "json-false",
    "ein.tags": [
     "worksheet-0"
    ],
    "slideshow": {
     "slide_type": "-"
    }
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "Auto-assigning NUTS sampler...\n",
      "Initializing NUTS using advi+adapt_diag...\n",
      "Average Loss = 143.06:   7%|▋         | 14293/200000 [00:01<00:14, 13171.73it/s]\n",
      "Convergence archived at 15500\n",
      "Interrupted at 15,500 [7%]: Average Loss = 178.97\n",
      "100%|██████████| 1500/1500 [00:01<00:00, 987.98it/s] \n",
      "/home/laoj/Documents/Github/pymc3/pymc3/step_methods/hmc/nuts.py:451: UserWarning: The acceptance probability in chain 3 does not match the target. It is 0.660117966551, but should be close to 0.8. Try to increase the number of tuning steps.\n",
      "  % (self._chain_id, mean_accept, target_accept))\n"
     ]
    },
    {
     "data": {
      "image/png": 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f+DdqTj8Lr+FIi1wE2z92cOB4cEwEllJqJf5Io8FgODDKthm5+26GfvADvMEh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\nAbmhqkCCeCLHoRm20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sB3Zn6HEyeeiCpN+OAfsPCPVk6VNImXTOe9Sd/lr7178vhyweYP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\nJdTAUhRFURRFURRFWSX+H8hSI+2MQPv8AAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fec2f9de4a8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "with pm.Model() as ar2:\n",
    "    beta = pm.Normal('beta', mu=0, sd=tau)\n",
    "    beta2 = pm.Uniform('beta2')\n",
    "    data = pm.AR('y', [beta, beta2], sd=1.0, observed=y)\n",
    "    trace = pm.sample(1000, cores=4)\n",
    "    \n",
    "pm.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": "3.5.2"
  },
  "name": "AR.ipynb"
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
