{ "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" }, "execution": { "iopub.execute_input": "2021-02-02T06:54:23.073408Z", "iopub.status.busy": "2021-02-02T06:54:23.072564Z", "iopub.status.idle": "2021-02-02T06:54:24.341586Z", "shell.execute_reply": "2021-02-02T06:54:24.342772Z" } }, "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" }, "execution": { "iopub.execute_input": "2021-02-02T06:54:24.348087Z", "iopub.status.busy": "2021-02-02T06:54:24.346611Z", "iopub.status.idle": "2021-02-02T06:54:24.613375Z", "shell.execute_reply": "2021-02-02T06:54:24.614517Z" } }, "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", 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" ] }, "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" }, "execution": { "iopub.execute_input": "2021-02-02T06:54:24.619513Z", "iopub.status.busy": "2021-02-02T06:54:24.617927Z", "iopub.status.idle": "2021-02-02T06:54:25.323453Z", "shell.execute_reply": "2021-02-02T06:54:25.324551Z" } }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 1, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "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" }, "execution": { "iopub.execute_input": "2021-02-02T06:54:25.329600Z", "iopub.status.busy": "2021-02-02T06:54:25.328117Z", "iopub.status.idle": "2021-02-02T06:54:25.719265Z", "shell.execute_reply": "2021-02-02T06:54:25.720385Z" } }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 1, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", 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" ] }, "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" }, "execution": { "iopub.execute_input": "2021-02-02T06:54:25.725468Z", "iopub.status.busy": "2021-02-02T06:54:25.723961Z", "iopub.status.idle": "2021-02-02T06:54:25.889450Z", "shell.execute_reply": "2021-02-02T06:54:25.890483Z" } }, "outputs": [ { "data": { "text/html": [ "
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SESHolt'sExponentialAdditiveMultiplicative
$\\alpha$1.0000000.9743069.776735e-010.9788479.749160e-01
$\\beta$NaN0.0000001.354763e-090.0000002.002597e-12
$\\phi$NaNNaNNaN0.9800009.816476e-01
$l_0$263.917696258.8803132.603423e+02257.3580202.589518e+02
$b_0$NaN5.0108561.013780e+006.6459371.038142e+00
SSE6761.3502356004.1382056.104195e+036036.5550406.081995e+03
\n", "
" ], "text/plain": [ " SES Holt's Exponential Additive Multiplicative\n", "$\\alpha$ 1.000000 0.974306 9.776735e-01 0.978847 9.749160e-01\n", "$\\beta$ NaN 0.000000 1.354763e-09 0.000000 2.002597e-12\n", "$\\phi$ NaN NaN NaN 0.980000 9.816476e-01\n", "$l_0$ 263.917696 258.880313 2.603423e+02 257.358020 2.589518e+02\n", "$b_0$ NaN 5.010856 1.013780e+00 6.645937 1.038142e+00\n", "SSE 6761.350235 6004.138205 6.104195e+03 6036.555040 6.081995e+03" ] }, "execution_count": 1, "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" }, "execution": { "iopub.execute_input": "2021-02-02T06:54:25.895460Z", "iopub.status.busy": "2021-02-02T06:54:25.894018Z", "iopub.status.idle": "2021-02-02T06:54:26.641281Z", "shell.execute_reply": "2021-02-02T06:54:26.642329Z" } }, "outputs": [ { "data": { "image/png": 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\n", 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\n", 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" ] }, "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" }, "execution": { "iopub.execute_input": "2021-02-02T06:54:26.647351Z", "iopub.status.busy": "2021-02-02T06:54:26.645857Z", "iopub.status.idle": "2021-02-02T06:54:27.432266Z", "shell.execute_reply": "2021-02-02T06:54:27.433350Z" } }, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "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" }, "execution": { "iopub.execute_input": "2021-02-02T06:54:27.438596Z", "iopub.status.busy": "2021-02-02T06:54:27.437036Z", "iopub.status.idle": "2021-02-02T06:54:28.644687Z", "shell.execute_reply": "2021-02-02T06:54:28.645383Z" } }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "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": [ "
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AdditiveMultiplicativeAdditive DamMultiplica Dam
$\\alpha$1.490116e-081.490116e-081.490116e-081.490116e-08
$\\beta$1.409868e-089.187435e-256.490801e-095.042503e-09
$\\phi$NaNNaN9.430416e-019.536043e-01
$\\gamma$0.000000e+007.815349e-167.006146e-172.169996e-16
$l_0$1.119347e+011.106375e+011.084021e+019.899269e+00
$b_0$1.205395e-011.198956e-012.456749e-011.975442e-01
SSE4.402746e+013.611262e+013.527619e+013.062033e+01
\n", "
" ], "text/plain": [ " Additive Multiplicative Additive Dam Multiplica Dam\n", "$\\alpha$ 1.490116e-08 1.490116e-08 1.490116e-08 1.490116e-08\n", "$\\beta$ 1.409868e-08 9.187435e-25 6.490801e-09 5.042503e-09\n", "$\\phi$ NaN NaN 9.430416e-01 9.536043e-01\n", "$\\gamma$ 0.000000e+00 7.815349e-16 7.006146e-17 2.169996e-16\n", "$l_0$ 1.119347e+01 1.106375e+01 1.084021e+01 9.899269e+00\n", "$b_0$ 1.205395e-01 1.198956e-01 2.456749e-01 1.975442e-01\n", "SSE 4.402746e+01 3.611262e+01 3.527619e+01 3.062033e+01" ] }, "execution_count": 1, "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": { "execution": { "iopub.execute_input": "2021-02-02T06:54:28.654251Z", "iopub.status.busy": "2021-02-02T06:54:28.653381Z", "iopub.status.idle": "2021-02-02T06:54:28.946439Z", "shell.execute_reply": "2021-02-02T06:54:28.946827Z" } }, "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" }, "execution": { "iopub.execute_input": "2021-02-02T06:54:28.956806Z", "iopub.status.busy": "2021-02-02T06:54:28.949459Z", "iopub.status.idle": "2021-02-02T06:54:28.988163Z", "shell.execute_reply": "2021-02-02T06:54:28.988884Z" } }, "outputs": [ { "data": { "text/html": [ "
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$\\hat{y}_t$$b_t$$l_t$$s_t$$y_t$
2005-01-0144.5841280.59782234.29756510.28656341.7275
2005-04-0124.9381890.59782234.895387-9.95719824.0418
2005-07-0133.0057650.59782235.493209-2.48744432.3281
2005-10-0137.0311060.59782236.0910310.94007537.3287
2006-01-0146.9754160.59782236.68885310.28656346.2132
2006-04-0127.3294770.59782237.286675-9.95719829.3463
2006-07-0135.3970530.59782237.884497-2.48744436.4829
2006-10-0139.4223940.59782238.4823190.94007542.9777
2007-01-0149.3667040.59782239.08014110.28656348.9015
2007-04-0129.7207650.59782239.677963-9.95719831.1802
2007-07-0137.7883410.59782240.275785-2.48744437.7179
2007-10-0141.8136820.59782240.8736070.94007540.4202
2008-01-0151.7579920.59782241.47142910.28656351.2069
2008-04-0132.1120530.59782242.069251-9.95719831.8872
2008-07-0140.1796290.59782242.667073-2.48744440.9783
2008-10-0144.2049700.59782243.2648950.94007543.7725
2009-01-0154.1492800.59782243.86271710.28656355.5586
2009-04-0134.5033410.59782244.460539-9.95719833.8509
2009-07-0142.5709170.59782245.058361-2.48744442.0764
2009-10-0146.5962580.59782245.6561830.94007545.6423
2010-01-0156.5405680.59782246.25400510.28656359.7668
2010-04-0136.8946290.59782246.851827-9.95719835.1919
2010-07-0144.9622050.59782247.449649-2.48744444.3197
2010-10-0148.9875460.59782248.0474710.94007547.9137
2011-01-0158.931856NaNNaNNaNNaN
2011-04-0139.285917NaNNaNNaNNaN
2011-07-0147.353493NaNNaNNaNNaN
2011-10-0151.378834NaNNaNNaNNaN
2012-01-0161.323143NaNNaNNaNNaN
2012-04-0141.677204NaNNaNNaNNaN
2012-07-0149.744781NaNNaNNaNNaN
2012-10-0153.770122NaNNaNNaNNaN
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" ], "text/plain": [ " $\\hat{y}_t$ $b_t$ $l_t$ $s_t$ $y_t$\n", "2005-01-01 44.584128 0.597822 34.297565 10.286563 41.7275\n", "2005-04-01 24.938189 0.597822 34.895387 -9.957198 24.0418\n", "2005-07-01 33.005765 0.597822 35.493209 -2.487444 32.3281\n", "2005-10-01 37.031106 0.597822 36.091031 0.940075 37.3287\n", "2006-01-01 46.975416 0.597822 36.688853 10.286563 46.2132\n", "2006-04-01 27.329477 0.597822 37.286675 -9.957198 29.3463\n", "2006-07-01 35.397053 0.597822 37.884497 -2.487444 36.4829\n", "2006-10-01 39.422394 0.597822 38.482319 0.940075 42.9777\n", "2007-01-01 49.366704 0.597822 39.080141 10.286563 48.9015\n", "2007-04-01 29.720765 0.597822 39.677963 -9.957198 31.1802\n", "2007-07-01 37.788341 0.597822 40.275785 -2.487444 37.7179\n", "2007-10-01 41.813682 0.597822 40.873607 0.940075 40.4202\n", "2008-01-01 51.757992 0.597822 41.471429 10.286563 51.2069\n", "2008-04-01 32.112053 0.597822 42.069251 -9.957198 31.8872\n", "2008-07-01 40.179629 0.597822 42.667073 -2.487444 40.9783\n", "2008-10-01 44.204970 0.597822 43.264895 0.940075 43.7725\n", "2009-01-01 54.149280 0.597822 43.862717 10.286563 55.5586\n", "2009-04-01 34.503341 0.597822 44.460539 -9.957198 33.8509\n", "2009-07-01 42.570917 0.597822 45.058361 -2.487444 42.0764\n", "2009-10-01 46.596258 0.597822 45.656183 0.940075 45.6423\n", "2010-01-01 56.540568 0.597822 46.254005 10.286563 59.7668\n", "2010-04-01 36.894629 0.597822 46.851827 -9.957198 35.1919\n", "2010-07-01 44.962205 0.597822 47.449649 -2.487444 44.3197\n", "2010-10-01 48.987546 0.597822 48.047471 0.940075 47.9137\n", "2011-01-01 58.931856 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 41.677204 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": 1, "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" }, "execution": { "iopub.execute_input": "2021-02-02T06:54:29.024357Z", "iopub.status.busy": "2021-02-02T06:54:29.023290Z", "iopub.status.idle": "2021-02-02T06:54:29.030438Z", "shell.execute_reply": "2021-02-02T06:54:29.031569Z" } }, "outputs": [ { "data": { "text/html": [ "
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$\\hat{y}_t$$b_t$$l_t$$s_t$$y_t$
2005-01-0143.0053880.62093735.0161691.22815841.7275
2005-04-0126.3529500.62093735.6371060.73948124.0418
2005-07-0133.2847290.62093736.2580430.91799632.3281
2005-10-0136.7195070.62093736.8789800.99567637.3287
2006-01-0146.0558230.62093737.4999171.22815846.2132
2006-04-0128.1896330.62093738.1208540.73948129.3463
2006-07-0135.5647990.62093738.7417910.91799636.4829
2006-10-0139.1925150.62093739.3627290.99567642.9777
2007-01-0149.1062590.62093739.9836661.22815848.9015
2007-04-0130.0263170.62093740.6046030.73948131.1802
2007-07-0137.8448690.62093741.2255400.91799637.7179
2007-10-0141.6655230.62093741.8464770.99567640.4202
2008-01-0152.1566940.62093742.4674141.22815851.2069
2008-04-0131.8630010.62093743.0883510.73948131.8872
2008-07-0140.1249400.62093743.7092880.91799640.9783
2008-10-0144.1385310.62093744.3302250.99567643.7725
2009-01-0155.2071290.62093744.9511621.22815855.5586
2009-04-0133.6996850.62093745.5720990.73948133.8509
2009-07-0142.4050100.62093746.1930360.91799642.0764
2009-10-0146.6115390.62093746.8139730.99567645.6423
2010-01-0158.2575650.62093747.4349101.22815859.7668
2010-04-0135.5363680.62093748.0558470.73948135.1919
2010-07-0144.6850800.62093748.6767840.91799644.3197
2010-10-0149.0845470.62093749.2977210.99567647.9137
2011-01-0161.308000NaNNaNNaNNaN
2011-04-0137.373052NaNNaNNaNNaN
2011-07-0146.965150NaNNaNNaNNaN
2011-10-0151.557555NaNNaNNaNNaN
2012-01-0164.358435NaNNaNNaNNaN
2012-04-0139.209736NaNNaNNaNNaN
2012-07-0149.245221NaNNaNNaNNaN
2012-10-0154.030563NaNNaNNaNNaN
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" ], "text/plain": [ " $\\hat{y}_t$ $b_t$ $l_t$ $s_t$ $y_t$\n", "2005-01-01 43.005388 0.620937 35.016169 1.228158 41.7275\n", "2005-04-01 26.352950 0.620937 35.637106 0.739481 24.0418\n", "2005-07-01 33.284729 0.620937 36.258043 0.917996 32.3281\n", "2005-10-01 36.719507 0.620937 36.878980 0.995676 37.3287\n", "2006-01-01 46.055823 0.620937 37.499917 1.228158 46.2132\n", "2006-04-01 28.189633 0.620937 38.120854 0.739481 29.3463\n", "2006-07-01 35.564799 0.620937 38.741791 0.917996 36.4829\n", "2006-10-01 39.192515 0.620937 39.362729 0.995676 42.9777\n", "2007-01-01 49.106259 0.620937 39.983666 1.228158 48.9015\n", "2007-04-01 30.026317 0.620937 40.604603 0.739481 31.1802\n", "2007-07-01 37.844869 0.620937 41.225540 0.917996 37.7179\n", "2007-10-01 41.665523 0.620937 41.846477 0.995676 40.4202\n", "2008-01-01 52.156694 0.620937 42.467414 1.228158 51.2069\n", "2008-04-01 31.863001 0.620937 43.088351 0.739481 31.8872\n", "2008-07-01 40.124940 0.620937 43.709288 0.917996 40.9783\n", "2008-10-01 44.138531 0.620937 44.330225 0.995676 43.7725\n", "2009-01-01 55.207129 0.620937 44.951162 1.228158 55.5586\n", "2009-04-01 33.699685 0.620937 45.572099 0.739481 33.8509\n", "2009-07-01 42.405010 0.620937 46.193036 0.917996 42.0764\n", "2009-10-01 46.611539 0.620937 46.813973 0.995676 45.6423\n", "2010-01-01 58.257565 0.620937 47.434910 1.228158 59.7668\n", "2010-04-01 35.536368 0.620937 48.055847 0.739481 35.1919\n", "2010-07-01 44.685080 0.620937 48.676784 0.917996 44.3197\n", "2010-10-01 49.084547 0.620937 49.297721 0.995676 47.9137\n", "2011-01-01 61.308000 NaN NaN NaN NaN\n", "2011-04-01 37.373052 NaN NaN NaN NaN\n", "2011-07-01 46.965150 NaN NaN NaN NaN\n", "2011-10-01 51.557555 NaN NaN NaN NaN\n", "2012-01-01 64.358435 NaN NaN NaN NaN\n", "2012-04-01 39.209736 NaN NaN NaN NaN\n", "2012-07-01 49.245221 NaN NaN NaN NaN\n", "2012-10-01 54.030563 NaN NaN NaN NaN" ] }, "execution_count": 1, "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" }, "execution": { "iopub.execute_input": "2021-02-02T06:54:29.062881Z", "iopub.status.busy": "2021-02-02T06:54:29.056134Z", "iopub.status.idle": "2021-02-02T06:54:30.502639Z", "shell.execute_reply": "2021-02-02T06:54:30.503579Z" } }, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "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": { "execution": { "iopub.execute_input": "2021-02-02T06:54:30.508003Z", "iopub.status.busy": "2021-02-02T06:54:30.506675Z", "iopub.status.idle": "2021-02-02T06:54:31.411078Z", "shell.execute_reply": "2021-02-02T06:54:31.411982Z" } }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "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": { "execution": { "iopub.execute_input": "2021-02-02T06:54:31.416134Z", "iopub.status.busy": "2021-02-02T06:54:31.414819Z", "iopub.status.idle": "2021-02-02T06:54:32.645022Z", "shell.execute_reply": "2021-02-02T06:54:32.646121Z" } }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "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()" ] } ], "metadata": { "anaconda-cloud": {}, "hide_input": false, "kernelspec": { "display_name": "Python 3", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.7.9" }, "latex_envs": { "LaTeX_envs_menu_present": true, "autocomplete": true, "bibliofile": "biblio.bib", "cite_by": "apalike", "current_citInitial": 1, "eqLabelWithNumbers": true, "eqNumInitial": 1, "hotkeys": { "equation": "Ctrl-E", "itemize": "Ctrl-I" }, "labels_anchors": false, "latex_user_defs": false, "report_style_numbering": false, "user_envs_cfg": false }, "toc": { "colors": { "hover_highlight": "#DAA520", "navigate_num": "#000000", "navigate_text": "#333333", "running_highlight": "#FF0000", "selected_highlight": "#FFD700", "sidebar_border": "#EEEEEE", "wrapper_background": "#FFFFFF" }, "moveMenuLeft": true, "nav_menu": { "height": "98px", "width": "252px" }, "navigate_menu": true, "number_sections": false, "sideBar": true, "threshold": 4, "toc_cell": false, "toc_section_display": "block", "toc_window_display": true, "widenNotebook": false } }, "nbformat": 4, "nbformat_minor": 1 }