{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Autoregressive Moving Average (ARMA): Sunspots data"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "%matplotlib inline"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "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": {},
   "outputs": [],
   "source": [
    "from statsmodels.graphics.api import qqplot"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Sunspots Data"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "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": {},
   "outputs": [],
   "source": [
    "dta = sm.datasets.sunspots.load_pandas().data"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "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": {},
   "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": [
    "dta.plot(figsize=(12,8));"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "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": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "const                49.659426\n",
      "ar.L1.SUNACTIVITY     1.390656\n",
      "ar.L2.SUNACTIVITY    -0.688571\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"
     ]
    }
   ],
   "source": [
    "arma_mod20 = sm.tsa.ARMA(dta, (2,0)).fit(disp=False)\n",
    "print(arma_mod20.params)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "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"
     ]
    }
   ],
   "source": [
    "arma_mod30 = sm.tsa.ARMA(dta, (3,0)).fit(disp=False)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "2622.6363380637877 2637.5697031713785 2628.6067259090337\n"
     ]
    }
   ],
   "source": [
    "print(arma_mod20.aic, arma_mod20.bic, arma_mod20.hqic)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "const                49.749962\n",
      "ar.L1.SUNACTIVITY     1.300810\n",
      "ar.L2.SUNACTIVITY    -0.508093\n",
      "ar.L3.SUNACTIVITY    -0.129650\n",
      "dtype: float64\n"
     ]
    }
   ],
   "source": [
    "print(arma_mod30.params)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "2619.403628696482 2638.070335080971 2626.8666135030394\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": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "1.9564808699288254"
      ]
     },
     "execution_count": 14,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "sm.stats.durbin_watson(arma_mod30.resid.values)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "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 = plt.figure(figsize=(12,8))\n",
    "ax = fig.add_subplot(111)\n",
    "ax = arma_mod30.resid.plot(ax=ax);"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [],
   "source": [
    "resid = arma_mod30.resid"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "NormaltestResult(statistic=49.84501385314911, pvalue=1.5006961438664718e-11)"
      ]
     },
     "execution_count": 17,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "stats.normaltest(resid)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "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 = plt.figure(figsize=(12,8))\n",
    "ax = fig.add_subplot(111)\n",
    "fig = qqplot(resid, line='q', ax=ax, fit=True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "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.values.squeeze(), 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": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "            AC          Q      Prob(>Q)\n",
      "lag                                    \n",
      "1.0   0.009179   0.026286  8.712032e-01\n",
      "2.0   0.041793   0.573039  7.508724e-01\n",
      "3.0  -0.001335   0.573599  9.024488e-01\n",
      "4.0   0.136089   6.408919  1.706205e-01\n",
      "5.0   0.092468   9.111828  1.046860e-01\n",
      "6.0   0.091948  11.793245  6.674343e-02\n",
      "7.0   0.068748  13.297202  6.518981e-02\n",
      "8.0  -0.015020  13.369230  9.976130e-02\n",
      "9.0   0.187592  24.641907  3.393913e-03\n",
      "10.0  0.213718  39.321990  2.229478e-05\n",
      "11.0  0.201082  52.361130  2.344957e-07\n",
      "12.0  0.117182  56.804179  8.574293e-08\n",
      "13.0 -0.014055  56.868316  1.893910e-07\n",
      "14.0  0.015398  56.945555  3.997674e-07\n",
      "15.0 -0.024967  57.149309  7.741499e-07\n",
      "16.0  0.080916  59.296762  6.872184e-07\n",
      "17.0  0.041138  59.853731  1.110947e-06\n",
      "18.0 -0.052021  60.747421  1.548436e-06\n",
      "19.0  0.062496  62.041684  1.831648e-06\n",
      "20.0 -0.010302  62.076971  3.381251e-06\n",
      "21.0  0.074453  63.926644  3.193596e-06\n",
      "22.0  0.124955  69.154761  8.978387e-07\n",
      "23.0  0.093162  72.071023  5.799805e-07\n",
      "24.0 -0.082152  74.346677  4.713033e-07\n",
      "25.0  0.015695  74.430032  8.289070e-07\n",
      "26.0 -0.025037  74.642891  1.367289e-06\n",
      "27.0 -0.125861  80.041135  3.722581e-07\n",
      "28.0  0.053225  81.009970  4.716296e-07\n",
      "29.0 -0.038693  81.523795  6.916659e-07\n",
      "30.0 -0.016904  81.622214  1.151665e-06\n",
      "31.0 -0.019296  81.750927  1.868772e-06\n",
      "32.0  0.104990  85.575052  8.927992e-07\n",
      "33.0  0.040086  86.134554  1.247514e-06\n",
      "34.0  0.008829  86.161797  2.047833e-06\n",
      "35.0  0.014588  86.236434  3.263819e-06\n",
      "36.0 -0.119329  91.248884  1.084458e-06\n",
      "37.0 -0.036665  91.723852  1.521929e-06\n",
      "38.0 -0.046193  92.480501  1.938742e-06\n",
      "39.0 -0.017768  92.592869  2.990691e-06\n",
      "40.0 -0.006220  92.606692  4.697001e-06\n"
     ]
    }
   ],
   "source": [
    "r,q,p = sm.tsa.acf(resid.values.squeeze(), 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": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "1990-12-31    167.047431\n",
      "1991-12-31    140.993034\n",
      "1992-12-31     94.859162\n",
      "1993-12-31     46.860956\n",
      "1994-12-31     11.242636\n",
      "1995-12-31     -4.721255\n",
      "1996-12-31     -1.166890\n",
      "1997-12-31     16.185700\n",
      "1998-12-31     39.021885\n",
      "1999-12-31     59.449876\n",
      "2000-12-31     72.170156\n",
      "2001-12-31     75.376808\n",
      "2002-12-31     70.436491\n",
      "2003-12-31     60.731624\n",
      "2004-12-31     50.201834\n",
      "2005-12-31     42.076060\n",
      "2006-12-31     38.114314\n",
      "2007-12-31     38.454663\n",
      "2008-12-31     41.963831\n",
      "2009-12-31     46.869301\n",
      "2010-12-31     51.423276\n",
      "2011-12-31     54.399737\n",
      "2012-12-31     55.321713\n",
      "Freq: A-DEC, dtype: float64\n"
     ]
    }
   ],
   "source": [
    "predict_sunspots = arma_mod30.predict('1990', '2012', dynamic=True)\n",
    "print(predict_sunspots)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {},
   "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",
    "ax = dta.loc['1950':].plot(ax=ax)\n",
    "fig = arma_mod30.plot_predict('1990', '2012', dynamic=True, ax=ax, plot_insample=False)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {},
   "outputs": [],
   "source": [
    "def mean_forecast_err(y, yhat):\n",
    "    return y.sub(yhat).mean()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "5.636930696153281"
      ]
     },
     "execution_count": 24,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "mean_forecast_err(dta.SUNACTIVITY, predict_sunspots)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Exercise: Can you obtain a better fit for the Sunspots model? (Hint: sm.tsa.AR has a method select_order)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Simulated ARMA(4,1): Model Identification is Difficult"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {},
   "outputs": [],
   "source": [
    "from statsmodels.tsa.arima_process import ArmaProcess"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {},
   "outputs": [],
   "source": [
    "np.random.seed(1234)\n",
    "# include zero-th lag\n",
    "arparams = np.array([1, .75, -.65, -.55, .9])\n",
    "maparams = np.array([1, .65])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Let's make sure this model is estimable."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {},
   "outputs": [],
   "source": [
    "arma_t = ArmaProcess(arparams, maparams)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "True"
      ]
     },
     "execution_count": 28,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "arma_t.isinvertible"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "False"
      ]
     },
     "execution_count": 29,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "arma_t.isstationary"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "* What does this mean?"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "metadata": {},
   "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 = plt.figure(figsize=(12,8))\n",
    "ax = fig.add_subplot(111)\n",
    "ax.plot(arma_t.generate_sample(nsample=50));"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "True"
      ]
     },
     "execution_count": 31,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "arparams = np.array([1, .35, -.15, .55, .1])\n",
    "maparams = np.array([1, .65])\n",
    "arma_t = ArmaProcess(arparams, maparams)\n",
    "arma_t.isstationary"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "metadata": {},
   "outputs": [],
   "source": [
    "arma_rvs = arma_t.generate_sample(nsample=500, burnin=250, scale=2.5)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 33,
   "metadata": {},
   "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(arma_rvs, lags=40, ax=ax1)\n",
    "ax2 = fig.add_subplot(212)\n",
    "fig = sm.graphics.tsa.plot_pacf(arma_rvs, lags=40, ax=ax2)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "* For mixed ARMA processes the Autocorrelation function is a mixture of exponentials and damped sine waves after (q-p) lags.\n",
    "* The partial autocorrelation function is a mixture of exponentials and dampened sine waves after (p-q) lags."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "            AC           Q      Prob(>Q)\n",
      "lag                                     \n",
      "1.0   0.254921   32.687694  1.082202e-08\n",
      "2.0  -0.172416   47.670772  4.450649e-11\n",
      "3.0  -0.420945  137.159409  1.548453e-29\n",
      "4.0  -0.046875  138.271320  6.617642e-29\n",
      "5.0   0.103240  143.675931  2.958688e-29\n",
      "6.0   0.214864  167.133017  1.823703e-33\n",
      "7.0  -0.000889  167.133419  1.009197e-32\n",
      "8.0  -0.045418  168.185772  3.094806e-32\n",
      "9.0  -0.061445  170.115821  5.837164e-32\n",
      "10.0  0.034623  170.729873  1.958720e-31\n",
      "11.0  0.006351  170.750574  8.266983e-31\n",
      "12.0 -0.012882  170.835927  3.220205e-30\n",
      "13.0 -0.053959  172.336565  6.181144e-30\n",
      "14.0 -0.016606  172.478983  2.160197e-29\n",
      "15.0  0.051742  173.864506  4.089511e-29\n",
      "16.0  0.078917  177.094299  3.217908e-29\n",
      "17.0 -0.001834  177.096047  1.093158e-28\n",
      "18.0 -0.101604  182.471956  3.103796e-29\n",
      "19.0 -0.057342  184.187791  4.624025e-29\n",
      "20.0  0.026975  184.568306  1.235659e-28\n",
      "21.0  0.062359  186.605982  1.530245e-28\n",
      "22.0 -0.009400  186.652384  4.548155e-28\n",
      "23.0 -0.068037  189.088205  4.561969e-28\n",
      "24.0 -0.035566  189.755221  9.901006e-28\n",
      "25.0  0.095679  194.592642  3.354261e-28\n",
      "26.0  0.065650  196.874897  3.487591e-28\n",
      "27.0 -0.018404  197.054634  9.008666e-28\n",
      "28.0 -0.079244  200.394029  5.773663e-28\n",
      "29.0  0.008499  200.432521  1.541373e-27\n",
      "30.0  0.053372  201.953796  2.133173e-27\n",
      "31.0  0.074816  204.949414  1.550148e-27\n",
      "32.0 -0.071187  207.667261  1.262278e-27\n",
      "33.0 -0.088145  211.843176  5.480766e-28\n",
      "34.0 -0.025283  212.187470  1.215217e-27\n",
      "35.0  0.125690  220.714917  8.231541e-29\n",
      "36.0  0.142724  231.734141  1.923063e-30\n",
      "37.0  0.095768  236.706182  5.937724e-31\n",
      "38.0 -0.084744  240.607825  2.890859e-31\n",
      "39.0 -0.150126  252.879008  3.962957e-33\n",
      "40.0 -0.083767  256.707765  1.996150e-33\n"
     ]
    }
   ],
   "source": [
    "arma11 = sm.tsa.ARMA(arma_rvs, (1,1)).fit(disp=False)\n",
    "resid = arma11.resid\n",
    "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": "code",
   "execution_count": 35,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "            AC          Q  Prob(>Q)\n",
      "lag                                \n",
      "1.0  -0.007889   0.031302  0.859569\n",
      "2.0   0.004132   0.039907  0.980244\n",
      "3.0   0.018103   0.205418  0.976710\n",
      "4.0  -0.006760   0.228541  0.993948\n",
      "5.0   0.018120   0.395025  0.995466\n",
      "6.0   0.050688   1.700445  0.945087\n",
      "7.0   0.010252   1.753952  0.972197\n",
      "8.0  -0.011206   1.818014  0.986092\n",
      "9.0   0.020292   2.028515  0.991009\n",
      "10.0  0.001029   2.029058  0.996113\n",
      "11.0 -0.014035   2.130166  0.997984\n",
      "12.0 -0.023858   2.422923  0.998427\n",
      "13.0 -0.002108   2.425214  0.999339\n",
      "14.0 -0.018783   2.607427  0.999590\n",
      "15.0  0.011316   2.673696  0.999805\n",
      "16.0  0.042159   3.595416  0.999443\n",
      "17.0  0.007943   3.628201  0.999734\n",
      "18.0 -0.074311   6.503850  0.993686\n",
      "19.0 -0.023379   6.789062  0.995256\n",
      "20.0  0.002398   6.792069  0.997313\n",
      "21.0  0.000487   6.792193  0.998516\n",
      "22.0  0.017952   6.961430  0.999024\n",
      "23.0 -0.038576   7.744460  0.998744\n",
      "24.0 -0.029816   8.213243  0.998859\n",
      "25.0  0.077850  11.415817  0.990675\n",
      "26.0  0.040408  12.280441  0.989479\n",
      "27.0 -0.018612  12.464268  0.992262\n",
      "28.0 -0.014764  12.580179  0.994586\n",
      "29.0  0.017650  12.746183  0.996111\n",
      "30.0 -0.005486  12.762256  0.997504\n",
      "31.0  0.058256  14.578537  0.994614\n",
      "32.0 -0.040840  15.473076  0.993887\n",
      "33.0 -0.019493  15.677299  0.995393\n",
      "34.0  0.037269  16.425456  0.995214\n",
      "35.0  0.086212  20.437440  0.976296\n",
      "36.0  0.041271  21.358837  0.974774\n",
      "37.0  0.078704  24.716868  0.938949\n",
      "38.0 -0.029729  25.197044  0.944895\n",
      "39.0 -0.078397  28.543372  0.891179\n",
      "40.0 -0.014466  28.657562  0.909269\n"
     ]
    }
   ],
   "source": [
    "arma41 = sm.tsa.ARMA(arma_rvs, (4,1)).fit(disp=False)\n",
    "resid = arma41.resid\n",
    "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": [
    "### Exercise: How good of in-sample prediction can you do for another series, say, CPI"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 36,
   "metadata": {},
   "outputs": [],
   "source": [
    "macrodta = sm.datasets.macrodata.load_pandas().data\n",
    "macrodta.index = pd.Index(sm.tsa.datetools.dates_from_range('1959Q1', '2009Q3'))\n",
    "cpi = macrodta[\"cpi\"]"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Hint: "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 37,
   "metadata": {},
   "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 = plt.figure(figsize=(12,8))\n",
    "ax = fig.add_subplot(111)\n",
    "ax = cpi.plot(ax=ax);\n",
    "ax.legend();"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "P-value of the unit-root test, resoundingly rejects the null of a unit-root."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 38,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "0.990432818833742\n"
     ]
    }
   ],
   "source": [
    "print(sm.tsa.adfuller(cpi)[1])"
   ]
  }
 ],
 "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": "3.8.5"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 1
}
