{
 "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 0x7fde223565b0>"
      ]
     },
     "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 0x7fde220aa9a0>"
      ]
     },
     "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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