{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# ETS models\n", "\n", "The ETS models are a family of time series models with an underlying state space model consisting of a level component, a trend component (T), a seasonal component (S), and an error term (E).\n", "\n", "This notebook shows how they can be used with statsmodels. For a more thorough treatment we refer to [1], chapter 8 (free online resource), on which the implementation in statsmodels and the examples used in this notebook are based.\n", "\n", "statsmodels implements all combinations of:\n", "- additive and multiplicative error model\n", "- additive and multiplicative trend, possibly dampened\n", "- additive and multiplicative seasonality\n", "\n", "However, not all of these methods are stable. Refer to [1] and references therein for more info about model stability.\n", "\n", "[1] Hyndman, Rob J., and Athanasopoulos, George. *Forecasting: principles and practice*, 3rd edition, OTexts, 2021. https://otexts.com/fpp3/expsmooth.html" ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "execution": { "iopub.execute_input": "2023-06-10T16:24:38.854899Z", "iopub.status.busy": "2023-06-10T16:24:38.854383Z", "iopub.status.idle": "2023-06-10T16:24:39.953582Z", "shell.execute_reply": "2023-06-10T16:24:39.952840Z" } }, "outputs": [], "source": [ "import numpy as np\n", "import matplotlib.pyplot as plt\n", "import pandas as pd\n", "\n", "%matplotlib inline\n", "from statsmodels.tsa.exponential_smoothing.ets import ETSModel" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "execution": { "iopub.execute_input": "2023-06-10T16:24:39.959165Z", "iopub.status.busy": "2023-06-10T16:24:39.957748Z", "iopub.status.idle": "2023-06-10T16:24:39.963118Z", "shell.execute_reply": "2023-06-10T16:24:39.962494Z" } }, "outputs": [], "source": [ "plt.rcParams[\"figure.figsize\"] = (12, 8)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Simple exponential smoothing\n", "\n", "The simplest of the ETS models is also known as *simple exponential smoothing*. In ETS terms, it corresponds to the (A, N, N) model, that is, a model with additive errors, no trend, and no seasonality. The state space formulation of Holt's method is:\n", "\n", "\\begin{align}\n", "y_{t} &= y_{t-1} + e_t\\\\\n", "l_{t} &= l_{t-1} + \\alpha e_t\\\\\n", "\\end{align}\n", "\n", "This state space formulation can be turned into a different formulation, a forecast and a smoothing equation (as can be done with all ETS models):\n", "\n", "\\begin{align}\n", "\\hat{y}_{t|t-1} &= l_{t-1}\\\\\n", "l_{t} &= \\alpha y_{t-1} + (1 - \\alpha) l_{t-1}\n", "\\end{align}\n", "\n", "Here, $\\hat{y}_{t|t-1}$ is the forecast/expectation of $y_t$ given the information of the previous step. In the simple exponential smoothing model, the forecast corresponds to the previous level. The second equation (smoothing equation) calculates the next level as weighted average of the previous level and the previous observation." ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "execution": { "iopub.execute_input": "2023-06-10T16:24:39.967926Z", "iopub.status.busy": "2023-06-10T16:24:39.966691Z", "iopub.status.idle": "2023-06-10T16:24:40.271510Z", "shell.execute_reply": "2023-06-10T16:24:40.270806Z" } }, "outputs": [ { "data": { "text/plain": [ "Text(0, 0.5, 'Annual oil production in Saudi Arabia (Mt)')" ] }, "execution_count": 3, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", 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