{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Exponential smoothing\n",
    "\n",
    "Let us consider chapter 7 of the excellent treatise on the subject of Exponential Smoothing By Hyndman and Athanasopoulos [1].\n",
    "We will work through all the examples in the chapter as they unfold.\n",
    "\n",
    "[1] [Hyndman, Rob J., and George Athanasopoulos. Forecasting: principles and practice. OTexts, 2014.](https://www.otexts.org/fpp/7)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Loading data\n",
    "\n",
    "First we load some data. We have included the R data in the notebook for expedience."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2017-12-07T12:39:15.020317Z",
     "start_time": "2017-12-07T12:39:14.263100Z"
    }
   },
   "outputs": [],
   "source": [
    "import os\n",
    "import numpy as np\n",
    "import pandas as pd\n",
    "import matplotlib.pyplot as plt\n",
    "from statsmodels.tsa.api import ExponentialSmoothing, SimpleExpSmoothing, Holt\n",
    "%matplotlib inline\n",
    "\n",
    "data = [446.6565,  454.4733,  455.663 ,  423.6322,  456.2713,  440.5881, 425.3325,  485.1494,  506.0482,  526.792 ,  514.2689,  494.211 ]\n",
    "index= pd.date_range(start='1996', end='2008', freq='A')\n",
    "oildata = pd.Series(data, index)\n",
    "\n",
    "data = [17.5534,  21.86  ,  23.8866,  26.9293,  26.8885,  28.8314, 30.0751,  30.9535,  30.1857,  31.5797,  32.5776,  33.4774, 39.0216,  41.3864,  41.5966]\n",
    "index= pd.date_range(start='1990', end='2005', freq='A')\n",
    "air = pd.Series(data, index)\n",
    "\n",
    "data = [263.9177,  268.3072,  260.6626,  266.6394,  277.5158,  283.834 , 290.309 ,  292.4742,  300.8307,  309.2867,  318.3311,  329.3724, 338.884 ,  339.2441,  328.6006,  314.2554,  314.4597,  321.4138, 329.7893,  346.3852,  352.2979,  348.3705,  417.5629,  417.1236, 417.7495,  412.2339,  411.9468,  394.6971,  401.4993,  408.2705, 414.2428]\n",
    "index= pd.date_range(start='1970', end='2001', freq='A')\n",
    "livestock2 = pd.Series(data, index)\n",
    "\n",
    "data = [407.9979 ,  403.4608,  413.8249,  428.105 ,  445.3387,  452.9942, 455.7402]\n",
    "index= pd.date_range(start='2001', end='2008', freq='A')\n",
    "livestock3 = pd.Series(data, index)\n",
    "\n",
    "data = [41.7275,  24.0418,  32.3281,  37.3287,  46.2132,  29.3463, 36.4829,  42.9777,  48.9015,  31.1802,  37.7179,  40.4202, 51.2069,  31.8872,  40.9783,  43.7725,  55.5586,  33.8509, 42.0764,  45.6423,  59.7668,  35.1919,  44.3197,  47.9137]\n",
    "index= pd.date_range(start='2005', end='2010-Q4', freq='QS-OCT')\n",
    "aust = pd.Series(data, index)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Simple Exponential Smoothing\n",
    "Lets use Simple Exponential Smoothing to forecast the below oil data."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2017-12-07T12:39:15.189907Z",
     "start_time": "2017-12-07T12:39:15.022229Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Figure 7.1: Oil production in Saudi Arabia from 1996 to 2007.\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "ax=oildata.plot()\n",
    "ax.set_xlabel(\"Year\")\n",
    "ax.set_ylabel(\"Oil (millions of tonnes)\")\n",
    "print(\"Figure 7.1: Oil production in Saudi Arabia from 1996 to 2007.\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Here we run three variants of simple exponential smoothing:\n",
    "1. In ```fit1``` we do not use the auto optimization but instead choose to explicitly provide the model with the $\\alpha=0.2$ parameter\n",
    "2. In ```fit2``` as above we choose an $\\alpha=0.6$\n",
    "3. In ```fit3``` we allow statsmodels to automatically find an optimized $\\alpha$ value for us. This is the recommended approach."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2017-12-07T12:39:15.785068Z",
     "start_time": "2017-12-07T12:39:15.191930Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.legend.Legend at 0x7f0c3be159a0>"
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "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": [
    "fit1 = SimpleExpSmoothing(oildata, initialization_method=\"heuristic\").fit(smoothing_level=0.2,optimized=False)\n",
    "fcast1 = fit1.forecast(3).rename(r'$\\alpha=0.2$')\n",
    "fit2 = SimpleExpSmoothing(oildata, initialization_method=\"heuristic\").fit(smoothing_level=0.6,optimized=False)\n",
    "fcast2 = fit2.forecast(3).rename(r'$\\alpha=0.6$')\n",
    "fit3 = SimpleExpSmoothing(oildata, initialization_method=\"estimated\").fit()\n",
    "fcast3 = fit3.forecast(3).rename(r'$\\alpha=%s$'%fit3.model.params['smoothing_level'])\n",
    "\n",
    "plt.figure(figsize=(12, 8))\n",
    "plt.plot(oildata, marker='o', color='black')\n",
    "plt.plot(fit1.fittedvalues, marker='o', color='blue')\n",
    "line1, = plt.plot(fcast1, marker='o', color='blue')\n",
    "plt.plot(fit2.fittedvalues, marker='o', color='red')\n",
    "line2, = plt.plot(fcast2, marker='o', color='red')\n",
    "plt.plot(fit3.fittedvalues, marker='o', color='green')\n",
    "line3, = plt.plot(fcast3, marker='o', color='green')\n",
    "plt.legend([line1, line2, line3], [fcast1.name, fcast2.name, fcast3.name])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Holt's Method\n",
    "\n",
    "Lets take a look at another example.\n",
    "This time we use air pollution data and the Holt's Method.\n",
    "We will fit three examples again.\n",
    "1. In ```fit1``` we again choose not to use the optimizer and provide explicit values for $\\alpha=0.8$ and $\\beta=0.2$\n",
    "2. In ```fit2``` we do the same as in ```fit1``` but choose to use an exponential model rather than a Holt's additive model.\n",
    "3. In ```fit3``` we used a damped versions of the Holt's additive model but allow the dampening parameter $\\phi$ to be optimized while fixing the values for $\\alpha=0.8$ and $\\beta=0.2$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2017-12-07T12:39:16.114361Z",
     "start_time": "2017-12-07T12:39:15.786542Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.legend.Legend at 0x7f0c3b95a940>"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "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": [
    "fit1 = Holt(air, initialization_method=\"estimated\").fit(smoothing_level=0.8, smoothing_trend=0.2, optimized=False)\n",
    "fcast1 = fit1.forecast(5).rename(\"Holt's linear trend\")\n",
    "fit2 = Holt(air, exponential=True, initialization_method=\"estimated\").fit(smoothing_level=0.8, smoothing_trend=0.2, optimized=False)\n",
    "fcast2 = fit2.forecast(5).rename(\"Exponential trend\")\n",
    "fit3 = Holt(air, damped_trend=True, initialization_method=\"estimated\").fit(smoothing_level=0.8, smoothing_trend=0.2)\n",
    "fcast3 = fit3.forecast(5).rename(\"Additive damped trend\")\n",
    "\n",
    "plt.figure(figsize=(12, 8))\n",
    "plt.plot(air, marker='o', color='black')\n",
    "plt.plot(fit1.fittedvalues, color='blue')\n",
    "line1, = plt.plot(fcast1, marker='o', color='blue')\n",
    "plt.plot(fit2.fittedvalues, color='red')\n",
    "line2, = plt.plot(fcast2, marker='o', color='red')\n",
    "plt.plot(fit3.fittedvalues, color='green')\n",
    "line3, = plt.plot(fcast3, marker='o', color='green')\n",
    "plt.legend([line1, line2, line3], [fcast1.name, fcast2.name, fcast3.name])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Seasonally adjusted data\n",
    "Lets look at some seasonally adjusted livestock data. We fit five Holt's models.\n",
    "The below table allows us to compare results when we use exponential versus additive and damped versus non-damped.\n",
    " \n",
    "Note: ```fit4``` does not allow the parameter $\\phi$ to be optimized by providing a fixed value of $\\phi=0.98$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2017-12-07T12:39:16.605618Z",
     "start_time": "2017-12-07T12:39:16.116424Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>SES</th>\n",
       "      <th>Holt's</th>\n",
       "      <th>Exponential</th>\n",
       "      <th>Additive</th>\n",
       "      <th>Multiplicative</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>$\\alpha$</th>\n",
       "      <td>1.000000</td>\n",
       "      <td>0.974316</td>\n",
       "      <td>0.977633</td>\n",
       "      <td>9.788623e-01</td>\n",
       "      <td>0.974913</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>$\\beta$</th>\n",
       "      <td>NaN</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>7.437128e-11</td>\n",
       "      <td>0.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>$\\phi$</th>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>9.800000e-01</td>\n",
       "      <td>0.981646</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>$l_0$</th>\n",
       "      <td>263.917698</td>\n",
       "      <td>258.882555</td>\n",
       "      <td>260.344565</td>\n",
       "      <td>2.573572e+02</td>\n",
       "      <td>258.951736</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>$b_0$</th>\n",
       "      <td>NaN</td>\n",
       "      <td>5.010839</td>\n",
       "      <td>1.013780</td>\n",
       "      <td>6.645778e+00</td>\n",
       "      <td>1.038145</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>SSE</th>\n",
       "      <td>6761.350235</td>\n",
       "      <td>6004.138201</td>\n",
       "      <td>6104.194756</td>\n",
       "      <td>6.036555e+03</td>\n",
       "      <td>6081.995046</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "                  SES       Holt's  Exponential      Additive  Multiplicative\n",
       "$\\alpha$     1.000000     0.974316     0.977633  9.788623e-01        0.974913\n",
       "$\\beta$           NaN     0.000000     0.000000  7.437128e-11        0.000000\n",
       "$\\phi$            NaN          NaN          NaN  9.800000e-01        0.981646\n",
       "$l_0$      263.917698   258.882555   260.344565  2.573572e+02      258.951736\n",
       "$b_0$             NaN     5.010839     1.013780  6.645778e+00        1.038145\n",
       "SSE       6761.350235  6004.138201  6104.194756  6.036555e+03     6081.995046"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "fit1 = SimpleExpSmoothing(livestock2, initialization_method=\"estimated\").fit()\n",
    "fit2 = Holt(livestock2, initialization_method=\"estimated\").fit()\n",
    "fit3 = Holt(livestock2,exponential=True, initialization_method=\"estimated\").fit()\n",
    "fit4 = Holt(livestock2,damped_trend=True, initialization_method=\"estimated\").fit(damping_trend=0.98)\n",
    "fit5 = Holt(livestock2,exponential=True, damped_trend=True, initialization_method=\"estimated\").fit()\n",
    "params = ['smoothing_level', 'smoothing_trend', 'damping_trend', 'initial_level', 'initial_trend']\n",
    "results=pd.DataFrame(index=[r\"$\\alpha$\",r\"$\\beta$\",r\"$\\phi$\",r\"$l_0$\",\"$b_0$\",\"SSE\"] ,columns=['SES', \"Holt's\",\"Exponential\", \"Additive\", \"Multiplicative\"])\n",
    "results[\"SES\"] =            [fit1.params[p] for p in params] + [fit1.sse]\n",
    "results[\"Holt's\"] =         [fit2.params[p] for p in params] + [fit2.sse]\n",
    "results[\"Exponential\"] =    [fit3.params[p] for p in params] + [fit3.sse]\n",
    "results[\"Additive\"] =       [fit4.params[p] for p in params] + [fit4.sse]\n",
    "results[\"Multiplicative\"] = [fit5.params[p] for p in params] + [fit5.sse]\n",
    "results"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Plots of Seasonally Adjusted Data\n",
    "The following plots allow us to evaluate the level and slope/trend components of the above table's fits."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2017-12-07T12:39:17.105928Z",
     "start_time": "2017-12-07T12:39:16.607306Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Figure 7.4: Level and slope components for Holt’s linear trend method and the additive damped trend method.\n"
     ]
    }
   ],
   "source": [
    "for fit in [fit2,fit4]:\n",
    "    pd.DataFrame(np.c_[fit.level,fit.trend]).rename(\n",
    "        columns={0:'level',1:'slope'}).plot(subplots=True)\n",
    "plt.show()\n",
    "print('Figure 7.4: Level and slope components for Holt’s linear trend method and the additive damped trend method.')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Comparison\n",
    "Here we plot a comparison Simple Exponential Smoothing and Holt's Methods for various additive, exponential and damped combinations. All of the models parameters will be optimized by statsmodels."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2017-12-07T12:39:18.038995Z",
     "start_time": "2017-12-07T12:39:17.108323Z"
    }
   },
   "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"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Figure 7.5: Forecasting livestock, sheep in Asia: comparing forecasting performance of non-seasonal methods.\n"
     ]
    }
   ],
   "source": [
    "fit1 = SimpleExpSmoothing(livestock2, initialization_method=\"estimated\").fit()\n",
    "fcast1 = fit1.forecast(9).rename(\"SES\")\n",
    "fit2 = Holt(livestock2, initialization_method=\"estimated\").fit()\n",
    "fcast2 = fit2.forecast(9).rename(\"Holt's\")\n",
    "fit3 = Holt(livestock2, exponential=True, initialization_method=\"estimated\").fit()\n",
    "fcast3 = fit3.forecast(9).rename(\"Exponential\")\n",
    "fit4 = Holt(livestock2, damped_trend=True, initialization_method=\"estimated\").fit(damping_trend=0.98)\n",
    "fcast4 = fit4.forecast(9).rename(\"Additive Damped\")\n",
    "fit5 = Holt(livestock2, exponential=True, damped_trend=True, initialization_method=\"estimated\").fit()\n",
    "fcast5 = fit5.forecast(9).rename(\"Multiplicative Damped\")\n",
    "\n",
    "ax = livestock2.plot(color=\"black\", marker=\"o\", figsize=(12,8))\n",
    "livestock3.plot(ax=ax, color=\"black\", marker=\"o\", legend=False)\n",
    "fcast1.plot(ax=ax, color='red', legend=True)\n",
    "fcast2.plot(ax=ax, color='green', legend=True)\n",
    "fcast3.plot(ax=ax, color='blue', legend=True)\n",
    "fcast4.plot(ax=ax, color='cyan', legend=True)\n",
    "fcast5.plot(ax=ax, color='magenta', legend=True)\n",
    "ax.set_ylabel('Livestock, sheep in Asia (millions)')\n",
    "plt.show()\n",
    "print('Figure 7.5: Forecasting livestock, sheep in Asia: comparing forecasting performance of non-seasonal methods.')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2017-10-05T09:40:15.958575Z",
     "start_time": "2017-10-05T09:40:15.615Z"
    }
   },
   "source": [
    "## Holt's Winters Seasonal\n",
    "Finally we are able to run full Holt's Winters Seasonal Exponential Smoothing  including a trend component and a seasonal component.\n",
    "statsmodels allows for all the combinations including as shown in the examples below:\n",
    "1. ```fit1``` additive trend, additive seasonal of period ```season_length=4``` and the use of a Box-Cox transformation.\n",
    "1. ```fit2``` additive trend, multiplicative seasonal of period ```season_length=4``` and the use of a Box-Cox transformation..\n",
    "1. ```fit3``` additive damped trend, additive seasonal of period ```season_length=4``` and the use of a Box-Cox transformation.\n",
    "1. ```fit4``` additive damped trend, multiplicative seasonal of period ```season_length=4``` and the use of a Box-Cox transformation.\n",
    "\n",
    "The plot shows the results and forecast for ```fit1``` and ```fit2```.\n",
    "The table allows us to compare the results and parameterizations."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2017-12-07T12:39:28.375871Z",
     "start_time": "2017-12-07T12:39:18.040674Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Figure 7.6: Forecasting international visitor nights in Australia using Holt-Winters method with both additive and multiplicative seasonality.\n"
     ]
    },
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>Additive</th>\n",
       "      <th>Multiplicative</th>\n",
       "      <th>Additive Dam</th>\n",
       "      <th>Multiplica Dam</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>$\\alpha$</th>\n",
       "      <td>1.490116e-08</td>\n",
       "      <td>1.490116e-08</td>\n",
       "      <td>1.490116e-08</td>\n",
       "      <td>1.490116e-08</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>$\\beta$</th>\n",
       "      <td>1.409864e-08</td>\n",
       "      <td>5.533042e-25</td>\n",
       "      <td>6.490738e-09</td>\n",
       "      <td>5.042333e-09</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>$\\phi$</th>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>9.430416e-01</td>\n",
       "      <td>9.536043e-01</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>$\\gamma$</th>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>5.388625e-16</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>1.899280e-15</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>$l_0$</th>\n",
       "      <td>1.119348e+01</td>\n",
       "      <td>1.106373e+01</td>\n",
       "      <td>1.084022e+01</td>\n",
       "      <td>9.899275e+00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>$b_0$</th>\n",
       "      <td>1.205395e-01</td>\n",
       "      <td>1.198953e-01</td>\n",
       "      <td>2.456749e-01</td>\n",
       "      <td>1.975443e-01</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>SSE</th>\n",
       "      <td>4.402746e+01</td>\n",
       "      <td>3.611262e+01</td>\n",
       "      <td>3.527619e+01</td>\n",
       "      <td>3.062033e+01</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "              Additive  Multiplicative  Additive Dam  Multiplica Dam\n",
       "$\\alpha$  1.490116e-08    1.490116e-08  1.490116e-08    1.490116e-08\n",
       "$\\beta$   1.409864e-08    5.533042e-25  6.490738e-09    5.042333e-09\n",
       "$\\phi$             NaN             NaN  9.430416e-01    9.536043e-01\n",
       "$\\gamma$  0.000000e+00    5.388625e-16  0.000000e+00    1.899280e-15\n",
       "$l_0$     1.119348e+01    1.106373e+01  1.084022e+01    9.899275e+00\n",
       "$b_0$     1.205395e-01    1.198953e-01  2.456749e-01    1.975443e-01\n",
       "SSE       4.402746e+01    3.611262e+01  3.527619e+01    3.062033e+01"
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "fit1 = ExponentialSmoothing(aust, seasonal_periods=4, trend='add', seasonal='add', use_boxcox=True, initialization_method=\"estimated\").fit()\n",
    "fit2 = ExponentialSmoothing(aust, seasonal_periods=4, trend='add', seasonal='mul', use_boxcox=True, initialization_method=\"estimated\").fit()\n",
    "fit3 = ExponentialSmoothing(aust, seasonal_periods=4, trend='add', seasonal='add', damped_trend=True, use_boxcox=True, initialization_method=\"estimated\").fit()\n",
    "fit4 = ExponentialSmoothing(aust, seasonal_periods=4, trend='add', seasonal='mul', damped_trend=True, use_boxcox=True, initialization_method=\"estimated\").fit()\n",
    "results=pd.DataFrame(index=[r\"$\\alpha$\",r\"$\\beta$\",r\"$\\phi$\",r\"$\\gamma$\",r\"$l_0$\",\"$b_0$\",\"SSE\"])\n",
    "params = ['smoothing_level', 'smoothing_trend', 'damping_trend', 'smoothing_seasonal', 'initial_level', 'initial_trend']\n",
    "results[\"Additive\"]       = [fit1.params[p] for p in params] + [fit1.sse]\n",
    "results[\"Multiplicative\"] = [fit2.params[p] for p in params] + [fit2.sse]\n",
    "results[\"Additive Dam\"]   = [fit3.params[p] for p in params] + [fit3.sse]\n",
    "results[\"Multiplica Dam\"] = [fit4.params[p] for p in params] + [fit4.sse]\n",
    "\n",
    "ax = aust.plot(figsize=(10,6), marker='o', color='black', title=\"Forecasts from Holt-Winters' multiplicative method\" )\n",
    "ax.set_ylabel(\"International visitor night in Australia (millions)\")\n",
    "ax.set_xlabel(\"Year\")\n",
    "fit1.fittedvalues.plot(ax=ax, style='--', color='red')\n",
    "fit2.fittedvalues.plot(ax=ax, style='--', color='green')\n",
    "\n",
    "fit1.forecast(8).rename('Holt-Winters (add-add-seasonal)').plot(ax=ax, style='--', marker='o', color='red', legend=True)\n",
    "fit2.forecast(8).rename('Holt-Winters (add-mul-seasonal)').plot(ax=ax, style='--', marker='o', color='green', legend=True)\n",
    "\n",
    "plt.show()\n",
    "print(\"Figure 7.6: Forecasting international visitor nights in Australia using Holt-Winters method with both additive and multiplicative seasonality.\")\n",
    "\n",
    "results"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### The Internals\n",
    "It is possible to get at the internals of the Exponential Smoothing models. \n",
    "\n",
    "Here we show some tables that allow you to view side by side the original values $y_t$, the level $l_t$, the trend $b_t$, the season $s_t$ and the fitted values $\\hat{y}_t$. Note that these values only have meaningful values in the space of your original data if the fit is performed without a Box-Cox transformation."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [],
   "source": [
    "fit1 = ExponentialSmoothing(aust, seasonal_periods=4, trend='add', seasonal='add', initialization_method=\"estimated\").fit()\n",
    "fit2 = ExponentialSmoothing(aust, seasonal_periods=4, trend='add', seasonal='mul', initialization_method=\"estimated\").fit()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2017-12-07T12:39:28.399765Z",
     "start_time": "2017-12-07T12:39:28.377215Z"
    }
   },
   "outputs": [
    {
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       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>$\\hat{y}_t$</th>\n",
       "      <th>$b_t$</th>\n",
       "      <th>$l_t$</th>\n",
       "      <th>$s_t$</th>\n",
       "      <th>$y_t$</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>2005-01-01</th>\n",
       "      <td>44.584128</td>\n",
       "      <td>0.597822</td>\n",
       "      <td>34.297595</td>\n",
       "      <td>10.286532</td>\n",
       "      <td>41.7275</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2005-04-01</th>\n",
       "      <td>24.938189</td>\n",
       "      <td>0.597822</td>\n",
       "      <td>34.895417</td>\n",
       "      <td>-9.957228</td>\n",
       "      <td>24.0418</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2005-07-01</th>\n",
       "      <td>33.005765</td>\n",
       "      <td>0.597822</td>\n",
       "      <td>35.493239</td>\n",
       "      <td>-2.487474</td>\n",
       "      <td>32.3281</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2005-10-01</th>\n",
       "      <td>37.031107</td>\n",
       "      <td>0.597822</td>\n",
       "      <td>36.091061</td>\n",
       "      <td>0.940046</td>\n",
       "      <td>37.3287</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2006-01-01</th>\n",
       "      <td>46.975416</td>\n",
       "      <td>0.597822</td>\n",
       "      <td>36.688883</td>\n",
       "      <td>10.286532</td>\n",
       "      <td>46.2132</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2006-04-01</th>\n",
       "      <td>27.329477</td>\n",
       "      <td>0.597822</td>\n",
       "      <td>37.286705</td>\n",
       "      <td>-9.957228</td>\n",
       "      <td>29.3463</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2006-07-01</th>\n",
       "      <td>35.397053</td>\n",
       "      <td>0.597822</td>\n",
       "      <td>37.884527</td>\n",
       "      <td>-2.487474</td>\n",
       "      <td>36.4829</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2006-10-01</th>\n",
       "      <td>39.422395</td>\n",
       "      <td>0.597822</td>\n",
       "      <td>38.482349</td>\n",
       "      <td>0.940046</td>\n",
       "      <td>42.9777</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2007-01-01</th>\n",
       "      <td>49.366704</td>\n",
       "      <td>0.597822</td>\n",
       "      <td>39.080171</td>\n",
       "      <td>10.286532</td>\n",
       "      <td>48.9015</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2007-04-01</th>\n",
       "      <td>29.720765</td>\n",
       "      <td>0.597822</td>\n",
       "      <td>39.677993</td>\n",
       "      <td>-9.957228</td>\n",
       "      <td>31.1802</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2007-07-01</th>\n",
       "      <td>37.788341</td>\n",
       "      <td>0.597822</td>\n",
       "      <td>40.275815</td>\n",
       "      <td>-2.487474</td>\n",
       "      <td>37.7179</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2007-10-01</th>\n",
       "      <td>41.813683</td>\n",
       "      <td>0.597822</td>\n",
       "      <td>40.873637</td>\n",
       "      <td>0.940046</td>\n",
       "      <td>40.4202</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2008-01-01</th>\n",
       "      <td>51.757991</td>\n",
       "      <td>0.597822</td>\n",
       "      <td>41.471459</td>\n",
       "      <td>10.286532</td>\n",
       "      <td>51.2069</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2008-04-01</th>\n",
       "      <td>32.112053</td>\n",
       "      <td>0.597822</td>\n",
       "      <td>42.069281</td>\n",
       "      <td>-9.957228</td>\n",
       "      <td>31.8872</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2008-07-01</th>\n",
       "      <td>40.179629</td>\n",
       "      <td>0.597822</td>\n",
       "      <td>42.667103</td>\n",
       "      <td>-2.487474</td>\n",
       "      <td>40.9783</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2008-10-01</th>\n",
       "      <td>44.204971</td>\n",
       "      <td>0.597822</td>\n",
       "      <td>43.264925</td>\n",
       "      <td>0.940046</td>\n",
       "      <td>43.7725</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2009-01-01</th>\n",
       "      <td>54.149279</td>\n",
       "      <td>0.597822</td>\n",
       "      <td>43.862747</td>\n",
       "      <td>10.286532</td>\n",
       "      <td>55.5586</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2009-04-01</th>\n",
       "      <td>34.503341</td>\n",
       "      <td>0.597822</td>\n",
       "      <td>44.460569</td>\n",
       "      <td>-9.957228</td>\n",
       "      <td>33.8509</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2009-07-01</th>\n",
       "      <td>42.570917</td>\n",
       "      <td>0.597822</td>\n",
       "      <td>45.058391</td>\n",
       "      <td>-2.487474</td>\n",
       "      <td>42.0764</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2009-10-01</th>\n",
       "      <td>46.596258</td>\n",
       "      <td>0.597822</td>\n",
       "      <td>45.656213</td>\n",
       "      <td>0.940046</td>\n",
       "      <td>45.6423</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2010-01-01</th>\n",
       "      <td>56.540567</td>\n",
       "      <td>0.597822</td>\n",
       "      <td>46.254035</td>\n",
       "      <td>10.286532</td>\n",
       "      <td>59.7668</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2010-04-01</th>\n",
       "      <td>36.894629</td>\n",
       "      <td>0.597822</td>\n",
       "      <td>46.851857</td>\n",
       "      <td>-9.957228</td>\n",
       "      <td>35.1919</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2010-07-01</th>\n",
       "      <td>44.962205</td>\n",
       "      <td>0.597822</td>\n",
       "      <td>47.449679</td>\n",
       "      <td>-2.487474</td>\n",
       "      <td>44.3197</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2010-10-01</th>\n",
       "      <td>48.987546</td>\n",
       "      <td>0.597822</td>\n",
       "      <td>48.047501</td>\n",
       "      <td>0.940046</td>\n",
       "      <td>47.9137</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2011-01-01</th>\n",
       "      <td>58.931855</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2011-04-01</th>\n",
       "      <td>39.285917</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2011-07-01</th>\n",
       "      <td>47.353493</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2011-10-01</th>\n",
       "      <td>51.378834</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2012-01-01</th>\n",
       "      <td>61.323143</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2012-04-01</th>\n",
       "      <td>41.677205</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2012-07-01</th>\n",
       "      <td>49.744781</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2012-10-01</th>\n",
       "      <td>53.770122</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "            $\\hat{y}_t$     $b_t$      $l_t$      $s_t$    $y_t$\n",
       "2005-01-01    44.584128  0.597822  34.297595  10.286532  41.7275\n",
       "2005-04-01    24.938189  0.597822  34.895417  -9.957228  24.0418\n",
       "2005-07-01    33.005765  0.597822  35.493239  -2.487474  32.3281\n",
       "2005-10-01    37.031107  0.597822  36.091061   0.940046  37.3287\n",
       "2006-01-01    46.975416  0.597822  36.688883  10.286532  46.2132\n",
       "2006-04-01    27.329477  0.597822  37.286705  -9.957228  29.3463\n",
       "2006-07-01    35.397053  0.597822  37.884527  -2.487474  36.4829\n",
       "2006-10-01    39.422395  0.597822  38.482349   0.940046  42.9777\n",
       "2007-01-01    49.366704  0.597822  39.080171  10.286532  48.9015\n",
       "2007-04-01    29.720765  0.597822  39.677993  -9.957228  31.1802\n",
       "2007-07-01    37.788341  0.597822  40.275815  -2.487474  37.7179\n",
       "2007-10-01    41.813683  0.597822  40.873637   0.940046  40.4202\n",
       "2008-01-01    51.757991  0.597822  41.471459  10.286532  51.2069\n",
       "2008-04-01    32.112053  0.597822  42.069281  -9.957228  31.8872\n",
       "2008-07-01    40.179629  0.597822  42.667103  -2.487474  40.9783\n",
       "2008-10-01    44.204971  0.597822  43.264925   0.940046  43.7725\n",
       "2009-01-01    54.149279  0.597822  43.862747  10.286532  55.5586\n",
       "2009-04-01    34.503341  0.597822  44.460569  -9.957228  33.8509\n",
       "2009-07-01    42.570917  0.597822  45.058391  -2.487474  42.0764\n",
       "2009-10-01    46.596258  0.597822  45.656213   0.940046  45.6423\n",
       "2010-01-01    56.540567  0.597822  46.254035  10.286532  59.7668\n",
       "2010-04-01    36.894629  0.597822  46.851857  -9.957228  35.1919\n",
       "2010-07-01    44.962205  0.597822  47.449679  -2.487474  44.3197\n",
       "2010-10-01    48.987546  0.597822  48.047501   0.940046  47.9137\n",
       "2011-01-01    58.931855       NaN        NaN        NaN      NaN\n",
       "2011-04-01    39.285917       NaN        NaN        NaN      NaN\n",
       "2011-07-01    47.353493       NaN        NaN        NaN      NaN\n",
       "2011-10-01    51.378834       NaN        NaN        NaN      NaN\n",
       "2012-01-01    61.323143       NaN        NaN        NaN      NaN\n",
       "2012-04-01    41.677205       NaN        NaN        NaN      NaN\n",
       "2012-07-01    49.744781       NaN        NaN        NaN      NaN\n",
       "2012-10-01    53.770122       NaN        NaN        NaN      NaN"
      ]
     },
     "execution_count": 10,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df = pd.DataFrame(np.c_[aust, fit1.level, fit1.trend, fit1.season, fit1.fittedvalues],\n",
    "                  columns=[r'$y_t$',r'$l_t$',r'$b_t$',r'$s_t$',r'$\\hat{y}_t$'],index=aust.index)\n",
    "df.append(fit1.forecast(8).rename(r'$\\hat{y}_t$').to_frame(), sort=True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2017-12-07T12:39:28.574783Z",
     "start_time": "2017-12-07T12:39:28.401234Z"
    }
   },
   "outputs": [
    {
     "data": {
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       "      <th></th>\n",
       "      <th>$\\hat{y}_t$</th>\n",
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       "      <th>2005-01-01</th>\n",
       "      <td>43.005390</td>\n",
       "      <td>0.620936</td>\n",
       "      <td>35.016131</td>\n",
       "      <td>1.228159</td>\n",
       "      <td>41.7275</td>\n",
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       "    <tr>\n",
       "      <th>2005-04-01</th>\n",
       "      <td>26.352949</td>\n",
       "      <td>0.620936</td>\n",
       "      <td>35.637067</td>\n",
       "      <td>0.739481</td>\n",
       "      <td>24.0418</td>\n",
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       "    <tr>\n",
       "      <th>2005-07-01</th>\n",
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       "      <td>36.258004</td>\n",
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       "    <tr>\n",
       "      <th>2005-10-01</th>\n",
       "      <td>36.719508</td>\n",
       "      <td>0.620936</td>\n",
       "      <td>36.878940</td>\n",
       "      <td>0.995677</td>\n",
       "      <td>37.3287</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2006-01-01</th>\n",
       "      <td>46.055825</td>\n",
       "      <td>0.620936</td>\n",
       "      <td>37.499877</td>\n",
       "      <td>1.228159</td>\n",
       "      <td>46.2132</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2006-04-01</th>\n",
       "      <td>28.189633</td>\n",
       "      <td>0.620936</td>\n",
       "      <td>38.120813</td>\n",
       "      <td>0.739481</td>\n",
       "      <td>29.3463</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2006-07-01</th>\n",
       "      <td>35.564800</td>\n",
       "      <td>0.620936</td>\n",
       "      <td>38.741750</td>\n",
       "      <td>0.917997</td>\n",
       "      <td>36.4829</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2006-10-01</th>\n",
       "      <td>39.192516</td>\n",
       "      <td>0.620936</td>\n",
       "      <td>39.362686</td>\n",
       "      <td>0.995677</td>\n",
       "      <td>42.9777</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2007-01-01</th>\n",
       "      <td>49.106261</td>\n",
       "      <td>0.620936</td>\n",
       "      <td>39.983623</td>\n",
       "      <td>1.228159</td>\n",
       "      <td>48.9015</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2007-04-01</th>\n",
       "      <td>30.026317</td>\n",
       "      <td>0.620936</td>\n",
       "      <td>40.604559</td>\n",
       "      <td>0.739481</td>\n",
       "      <td>31.1802</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2007-07-01</th>\n",
       "      <td>37.844870</td>\n",
       "      <td>0.620936</td>\n",
       "      <td>41.225496</td>\n",
       "      <td>0.917997</td>\n",
       "      <td>37.7179</td>\n",
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       "    <tr>\n",
       "      <th>2007-10-01</th>\n",
       "      <td>41.665525</td>\n",
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       "      <td>41.846432</td>\n",
       "      <td>0.995677</td>\n",
       "      <td>40.4202</td>\n",
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       "    <tr>\n",
       "      <th>2008-01-01</th>\n",
       "      <td>52.156697</td>\n",
       "      <td>0.620936</td>\n",
       "      <td>42.467369</td>\n",
       "      <td>1.228159</td>\n",
       "      <td>51.2069</td>\n",
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       "    <tr>\n",
       "      <th>2008-04-01</th>\n",
       "      <td>31.863001</td>\n",
       "      <td>0.620936</td>\n",
       "      <td>43.088305</td>\n",
       "      <td>0.739481</td>\n",
       "      <td>31.8872</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2008-07-01</th>\n",
       "      <td>40.124941</td>\n",
       "      <td>0.620936</td>\n",
       "      <td>43.709242</td>\n",
       "      <td>0.917997</td>\n",
       "      <td>40.9783</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2008-10-01</th>\n",
       "      <td>44.138533</td>\n",
       "      <td>0.620936</td>\n",
       "      <td>44.330178</td>\n",
       "      <td>0.995677</td>\n",
       "      <td>43.7725</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2009-01-01</th>\n",
       "      <td>55.207133</td>\n",
       "      <td>0.620936</td>\n",
       "      <td>44.951115</td>\n",
       "      <td>1.228159</td>\n",
       "      <td>55.5586</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2009-04-01</th>\n",
       "      <td>33.699685</td>\n",
       "      <td>0.620936</td>\n",
       "      <td>45.572051</td>\n",
       "      <td>0.739481</td>\n",
       "      <td>33.8509</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2009-07-01</th>\n",
       "      <td>42.405012</td>\n",
       "      <td>0.620936</td>\n",
       "      <td>46.192988</td>\n",
       "      <td>0.917997</td>\n",
       "      <td>42.0764</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2009-10-01</th>\n",
       "      <td>46.611542</td>\n",
       "      <td>0.620936</td>\n",
       "      <td>46.813924</td>\n",
       "      <td>0.995677</td>\n",
       "      <td>45.6423</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2010-01-01</th>\n",
       "      <td>58.257569</td>\n",
       "      <td>0.620936</td>\n",
       "      <td>47.434861</td>\n",
       "      <td>1.228159</td>\n",
       "      <td>59.7668</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2010-04-01</th>\n",
       "      <td>35.536369</td>\n",
       "      <td>0.620936</td>\n",
       "      <td>48.055797</td>\n",
       "      <td>0.739481</td>\n",
       "      <td>35.1919</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2010-07-01</th>\n",
       "      <td>44.685082</td>\n",
       "      <td>0.620936</td>\n",
       "      <td>48.676733</td>\n",
       "      <td>0.917997</td>\n",
       "      <td>44.3197</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2010-10-01</th>\n",
       "      <td>49.084550</td>\n",
       "      <td>0.620936</td>\n",
       "      <td>49.297670</td>\n",
       "      <td>0.995677</td>\n",
       "      <td>47.9137</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2011-01-01</th>\n",
       "      <td>61.308005</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2011-04-01</th>\n",
       "      <td>37.373053</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2011-07-01</th>\n",
       "      <td>46.965153</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2011-10-01</th>\n",
       "      <td>51.557558</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2012-01-01</th>\n",
       "      <td>64.358440</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2012-04-01</th>\n",
       "      <td>39.209737</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2012-07-01</th>\n",
       "      <td>49.245223</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2012-10-01</th>\n",
       "      <td>54.030567</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "            $\\hat{y}_t$     $b_t$      $l_t$     $s_t$    $y_t$\n",
       "2005-01-01    43.005390  0.620936  35.016131  1.228159  41.7275\n",
       "2005-04-01    26.352949  0.620936  35.637067  0.739481  24.0418\n",
       "2005-07-01    33.284729  0.620936  36.258004  0.917997  32.3281\n",
       "2005-10-01    36.719508  0.620936  36.878940  0.995677  37.3287\n",
       "2006-01-01    46.055825  0.620936  37.499877  1.228159  46.2132\n",
       "2006-04-01    28.189633  0.620936  38.120813  0.739481  29.3463\n",
       "2006-07-01    35.564800  0.620936  38.741750  0.917997  36.4829\n",
       "2006-10-01    39.192516  0.620936  39.362686  0.995677  42.9777\n",
       "2007-01-01    49.106261  0.620936  39.983623  1.228159  48.9015\n",
       "2007-04-01    30.026317  0.620936  40.604559  0.739481  31.1802\n",
       "2007-07-01    37.844870  0.620936  41.225496  0.917997  37.7179\n",
       "2007-10-01    41.665525  0.620936  41.846432  0.995677  40.4202\n",
       "2008-01-01    52.156697  0.620936  42.467369  1.228159  51.2069\n",
       "2008-04-01    31.863001  0.620936  43.088305  0.739481  31.8872\n",
       "2008-07-01    40.124941  0.620936  43.709242  0.917997  40.9783\n",
       "2008-10-01    44.138533  0.620936  44.330178  0.995677  43.7725\n",
       "2009-01-01    55.207133  0.620936  44.951115  1.228159  55.5586\n",
       "2009-04-01    33.699685  0.620936  45.572051  0.739481  33.8509\n",
       "2009-07-01    42.405012  0.620936  46.192988  0.917997  42.0764\n",
       "2009-10-01    46.611542  0.620936  46.813924  0.995677  45.6423\n",
       "2010-01-01    58.257569  0.620936  47.434861  1.228159  59.7668\n",
       "2010-04-01    35.536369  0.620936  48.055797  0.739481  35.1919\n",
       "2010-07-01    44.685082  0.620936  48.676733  0.917997  44.3197\n",
       "2010-10-01    49.084550  0.620936  49.297670  0.995677  47.9137\n",
       "2011-01-01    61.308005       NaN        NaN       NaN      NaN\n",
       "2011-04-01    37.373053       NaN        NaN       NaN      NaN\n",
       "2011-07-01    46.965153       NaN        NaN       NaN      NaN\n",
       "2011-10-01    51.557558       NaN        NaN       NaN      NaN\n",
       "2012-01-01    64.358440       NaN        NaN       NaN      NaN\n",
       "2012-04-01    39.209737       NaN        NaN       NaN      NaN\n",
       "2012-07-01    49.245223       NaN        NaN       NaN      NaN\n",
       "2012-10-01    54.030567       NaN        NaN       NaN      NaN"
      ]
     },
     "execution_count": 11,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df = pd.DataFrame(np.c_[aust, fit2.level, fit2.trend, fit2.season, fit2.fittedvalues], \n",
    "                  columns=[r'$y_t$',r'$l_t$',r'$b_t$',r'$s_t$',r'$\\hat{y}_t$'],index=aust.index)\n",
    "df.append(fit2.forecast(8).rename(r'$\\hat{y}_t$').to_frame(), sort=True)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Finally lets look at the levels, slopes/trends and seasonal components of the models."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2017-12-07T12:39:29.636548Z",
     "start_time": "2017-12-07T12:39:28.576279Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x576 with 6 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "states1 = pd.DataFrame(np.c_[fit1.level, fit1.trend, fit1.season], columns=['level','slope','seasonal'], index=aust.index)\n",
    "states2 = pd.DataFrame(np.c_[fit2.level, fit2.trend, fit2.season], columns=['level','slope','seasonal'], index=aust.index)\n",
    "fig, [[ax1, ax4],[ax2, ax5], [ax3, ax6]] = plt.subplots(3, 2, figsize=(12,8))\n",
    "states1[['level']].plot(ax=ax1)\n",
    "states1[['slope']].plot(ax=ax2)\n",
    "states1[['seasonal']].plot(ax=ax3)\n",
    "states2[['level']].plot(ax=ax4)\n",
    "states2[['slope']].plot(ax=ax5)\n",
    "states2[['seasonal']].plot(ax=ax6)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Simulations and Confidence Intervals\n",
    "\n",
    "By using a state space formulation, we can perform simulations of future values. The mathematical details are described in Hyndman and Athanasopoulos [2] and in the documentation of `HoltWintersResults.simulate`.\n",
    "\n",
    "Similar to the example in [2], we use the model with additive trend, multiplicative seasonality, and multiplicative error. We simulate up to 8 steps into the future, and perform 1000 simulations. As can be seen in the below figure, the simulations match the forecast values quite well.\n",
    "\n",
    "[2] [Hyndman, Rob J., and George Athanasopoulos. Forecasting: principles and practice, 2nd edition. OTexts, 2018.](https://otexts.com/fpp2/ets.html)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fit = ExponentialSmoothing(aust, seasonal_periods=4, trend='add', seasonal='mul', initialization_method=\"estimated\").fit()\n",
    "simulations = fit.simulate(8, repetitions=100, error='mul')\n",
    "\n",
    "ax = aust.plot(figsize=(10,6), marker='o', color='black', \n",
    "               title=\"Forecasts and simulations from Holt-Winters' multiplicative method\" )\n",
    "ax.set_ylabel(\"International visitor night in Australia (millions)\")\n",
    "ax.set_xlabel(\"Year\")\n",
    "fit.fittedvalues.plot(ax=ax, style='--', color='green')\n",
    "simulations.plot(ax=ax, style='-', alpha=0.05, color='grey', legend=False)\n",
    "fit.forecast(8).rename('Holt-Winters (add-mul-seasonal)').plot(ax=ax, style='--', marker='o', color='green', legend=True)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Simulations can also be started at different points in time, and there are multiple options for choosing the random noise."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fit = ExponentialSmoothing(aust, seasonal_periods=4, trend='add', seasonal='mul', initialization_method=\"estimated\").fit()\n",
    "simulations = fit.simulate(16, anchor='2009-01-01', repetitions=100, error='mul', random_errors='bootstrap')\n",
    "\n",
    "ax = aust.plot(figsize=(10,6), marker='o', color='black', \n",
    "               title=\"Forecasts and simulations from Holt-Winters' multiplicative method\" )\n",
    "ax.set_ylabel(\"International visitor night in Australia (millions)\")\n",
    "ax.set_xlabel(\"Year\")\n",
    "fit.fittedvalues.plot(ax=ax, style='--', color='green')\n",
    "simulations.plot(ax=ax, style='-', alpha=0.05, color='grey', legend=False)\n",
    "fit.forecast(8).rename('Holt-Winters (add-mul-seasonal)').plot(ax=ax, style='--', marker='o', color='green', legend=True)\n",
    "plt.show()"
   ]
  }
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