{
 "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": "3.8.4rc1"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 0
}
