{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Autoregressive Moving Average (ARMA): Sunspots data"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "This notebook replicates the existing ARMA notebook using the `statsmodels.tsa.statespace.SARIMAX` class rather than the `statsmodels.tsa.ARMA` class."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "%matplotlib inline"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "from scipy import stats\n",
    "import pandas as pd\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "import statsmodels.api as sm"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "from statsmodels.graphics.api import qqplot"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Sunspots Data"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "::\n",
      "\n",
      "    Number of Observations - 309 (Annual 1700 - 2008)\n",
      "    Number of Variables - 1\n",
      "    Variable name definitions::\n",
      "\n",
      "        SUNACTIVITY - Number of sunspots for each year\n",
      "\n",
      "    The data file contains a 'YEAR' variable that is not returned by load.\n",
      "\n"
     ]
    }
   ],
   "source": [
    "print(sm.datasets.sunspots.NOTE)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "dta = sm.datasets.sunspots.load_pandas().data"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "dta.index = pd.Index(sm.tsa.datetools.dates_from_range('1700', '2008'))\n",
    "del dta[\"YEAR\"]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "dta.plot(figsize=(12,4));"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x576 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = plt.figure(figsize=(12,8))\n",
    "ax1 = fig.add_subplot(211)\n",
    "fig = sm.graphics.tsa.plot_acf(dta.values.squeeze(), lags=40, ax=ax1)\n",
    "ax2 = fig.add_subplot(212)\n",
    "fig = sm.graphics.tsa.plot_pacf(dta, lags=40, ax=ax2)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "intercept     14.793947\n",
      "ar.L1          1.390659\n",
      "ar.L2         -0.688568\n",
      "sigma2       274.761105\n",
      "dtype: float64\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/usr/lib/python3/dist-packages/statsmodels/tsa/base/tsa_model.py:159: ValueWarning: No frequency information was provided, so inferred frequency A-DEC will be used.\n",
      "  warnings.warn('No frequency information was'\n",
      "/usr/lib/python3/dist-packages/statsmodels/tsa/base/tsa_model.py:159: ValueWarning: No frequency information was provided, so inferred frequency A-DEC will be used.\n",
      "  warnings.warn('No frequency information was'\n"
     ]
    }
   ],
   "source": [
    "arma_mod20 = sm.tsa.statespace.SARIMAX(dta, order=(2,0,0), trend='c').fit(disp=False)\n",
    "print(arma_mod20.params)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/usr/lib/python3/dist-packages/statsmodels/tsa/base/tsa_model.py:159: ValueWarning: No frequency information was provided, so inferred frequency A-DEC will be used.\n",
      "  warnings.warn('No frequency information was'\n",
      "/usr/lib/python3/dist-packages/statsmodels/tsa/base/tsa_model.py:159: ValueWarning: No frequency information was provided, so inferred frequency A-DEC will be used.\n",
      "  warnings.warn('No frequency information was'\n"
     ]
    }
   ],
   "source": [
    "arma_mod30 = sm.tsa.statespace.SARIMAX(dta, order=(3,0,0), trend='c').fit(disp=False)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "2622.6363381415576 2637.5697032491485 2628.6067259868037\n"
     ]
    }
   ],
   "source": [
    "print(arma_mod20.aic, arma_mod20.bic, arma_mod20.hqic)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "intercept     16.762205\n",
      "ar.L1          1.300810\n",
      "ar.L2         -0.508122\n",
      "ar.L3         -0.129612\n",
      "sigma2       270.102652\n",
      "dtype: float64\n"
     ]
    }
   ],
   "source": [
    "print(arma_mod30.params)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "2619.4036296630375 2638.0703360475263 2626.866614469595\n"
     ]
    }
   ],
   "source": [
    "print(arma_mod30.aic, arma_mod30.bic, arma_mod30.hqic)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "* Does our model obey the theory?"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "1.9564844846369152"
      ]
     },
     "execution_count": 14,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "sm.stats.durbin_watson(arma_mod30.resid)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = plt.figure(figsize=(12,4))\n",
    "ax = fig.add_subplot(111)\n",
    "ax = plt.plot(arma_mod30.resid)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "resid = arma_mod30.resid"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "NormaltestResult(statistic=49.847005587191916, pvalue=1.499202393979229e-11)"
      ]
     },
     "execution_count": 17,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "stats.normaltest(resid)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = plt.figure(figsize=(12,4))\n",
    "ax = fig.add_subplot(111)\n",
    "fig = qqplot(resid, line='q', ax=ax, fit=True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x576 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = plt.figure(figsize=(12,8))\n",
    "ax1 = fig.add_subplot(211)\n",
    "fig = sm.graphics.tsa.plot_acf(resid, lags=40, ax=ax1)\n",
    "ax2 = fig.add_subplot(212)\n",
    "fig = sm.graphics.tsa.plot_pacf(resid, lags=40, ax=ax2)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "            AC          Q      Prob(>Q)\n",
      "lag                                    \n",
      "1.0   0.009176   0.026273  8.712350e-01\n",
      "2.0   0.041820   0.573727  7.506142e-01\n",
      "3.0  -0.001342   0.574292  9.022915e-01\n",
      "4.0   0.136064   6.407489  1.707135e-01\n",
      "5.0   0.092433   9.108335  1.048203e-01\n",
      "6.0   0.091919  11.788019  6.686839e-02\n",
      "7.0   0.068735  13.291376  6.531938e-02\n",
      "8.0  -0.015021  13.363413  9.994244e-02\n",
      "9.0   0.187599  24.636917  3.400196e-03\n",
      "10.0  0.213724  39.317882  2.233181e-05\n",
      "11.0  0.201092  52.358271  2.347758e-07\n",
      "12.0  0.117192  56.802110  8.581663e-08\n",
      "13.0 -0.014051  56.866211  1.895533e-07\n",
      "14.0  0.015394  56.943404  4.001104e-07\n",
      "15.0 -0.024986  57.147465  7.747082e-07\n",
      "16.0  0.080892  59.293627  6.880517e-07\n",
      "17.0  0.041120  59.850086  1.112485e-06\n",
      "18.0 -0.052030  60.744065  1.550379e-06\n",
      "19.0  0.062500  62.038495  1.833801e-06\n",
      "20.0 -0.010292  62.073719  3.385222e-06\n",
      "21.0  0.074467  63.924063  3.196543e-06\n",
      "22.0  0.124962  69.152772  8.984831e-07\n",
      "23.0  0.093170  72.069533  5.802914e-07\n",
      "24.0 -0.082149  74.345042  4.715785e-07\n",
      "25.0  0.015689  74.428333  8.294017e-07\n",
      "26.0 -0.025049  74.641400  1.367992e-06\n",
      "27.0 -0.125875  80.040874  3.722921e-07\n",
      "28.0  0.053215  81.009319  4.717355e-07\n",
      "29.0 -0.038699  81.523324  6.917766e-07\n",
      "30.0 -0.016896  81.621649  1.151883e-06\n",
      "31.0 -0.019286  81.750228  1.869202e-06\n",
      "32.0  0.105001  85.575149  8.927708e-07\n",
      "33.0  0.040094  86.134872  1.247384e-06\n",
      "34.0  0.008834  86.162142  2.047606e-06\n",
      "35.0  0.014588  86.236785  3.263459e-06\n",
      "36.0 -0.119334  91.249667  1.084187e-06\n",
      "37.0 -0.036673  91.724838  1.521456e-06\n",
      "38.0 -0.046204  92.481862  1.937920e-06\n",
      "39.0 -0.017775  92.594310  2.989369e-06\n",
      "40.0 -0.006219  92.608126  4.694971e-06\n"
     ]
    }
   ],
   "source": [
    "r,q,p = sm.tsa.acf(resid, fft=True, qstat=True)\n",
    "data = np.c_[range(1,41), r[1:], q, p]\n",
    "table = pd.DataFrame(data, columns=['lag', \"AC\", \"Q\", \"Prob(>Q)\"])\n",
    "print(table.set_index('lag'))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "* This indicates a lack of fit."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "* In-sample dynamic prediction. How good does our model do?"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "predict_sunspots = arma_mod30.predict(start='1990', end='2012', dynamic=True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x576 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots(figsize=(12, 8))\n",
    "dta.loc['1950':].plot(ax=ax)\n",
    "predict_sunspots.plot(ax=ax, style='r');"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "def mean_forecast_err(y, yhat):\n",
    "    return y.sub(yhat).mean()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "5.6355503127660205"
      ]
     },
     "execution_count": 24,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "mean_forecast_err(dta.SUNACTIVITY, predict_sunspots)"
   ]
  }
 ],
 "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": "3.8.2rc2"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 0
}
