{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Seasonality in time series data\n", "\n", "Consider the problem of modeling time series data with multiple seasonal components with different periodicities. Let us take the time series $y_t$ and decompose it explicitly to have a level component and two seasonal components.\n", "\n", "$$\n", "y_t = \\mu_t + \\gamma^{(1)}_t + \\gamma^{(2)}_t\n", "$$\n", "\n", "where $\\mu_t$ represents the trend or level, $\\gamma^{(1)}_t$ represents a seasonal component with a relatively short period, and $\\gamma^{(2)}_t$ represents another seasonal component of longer period. We will have a fixed intercept term for our level and consider both $\\gamma^{(2)}_t$ and $\\gamma^{(2)}_t$ to be stochastic so that the seasonal patterns can vary over time.\n", "\n", "In this notebook, we will generate synthetic data conforming to this model and showcase modeling of the seasonal terms in a few different ways under the unobserved components modeling framework." ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "%matplotlib inline" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "import numpy as np\n", "import pandas as pd\n", "import statsmodels.api as sm\n", "import matplotlib.pyplot as plt" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Synthetic data creation\n", "\n", "We will create data with multiple seasonal patterns by following equations (3.7) and (3.8) in Durbin and Koopman (2012). We will simulate 300 periods and two seasonal terms parametrized in the frequency domain having periods 10 and 100, respectively, and 3 and 2 number of harmonics, respectively. Further, the variances of their stochastic parts are 4 and 9, respectively." ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [], "source": [ "# First we'll simulate the synthetic data\n", "def simulate_seasonal_term(periodicity, total_cycles, noise_std=1.,\n", " harmonics=None):\n", " duration = periodicity * total_cycles\n", " assert duration == int(duration)\n", " duration = int(duration)\n", " harmonics = harmonics if harmonics else int(np.floor(periodicity / 2))\n", "\n", " lambda_p = 2 * np.pi / float(periodicity)\n", "\n", " gamma_jt = noise_std * np.random.randn((harmonics))\n", " gamma_star_jt = noise_std * np.random.randn((harmonics))\n", "\n", " total_timesteps = 100 * duration # Pad for burn in\n", " series = np.zeros(total_timesteps) \n", " for t in range(total_timesteps):\n", " gamma_jtp1 = np.zeros_like(gamma_jt)\n", " gamma_star_jtp1 = np.zeros_like(gamma_star_jt)\n", " for j in range(1, harmonics + 1):\n", " cos_j = np.cos(lambda_p * j)\n", " sin_j = np.sin(lambda_p * j)\n", " gamma_jtp1[j - 1] = (gamma_jt[j - 1] * cos_j\n", " + gamma_star_jt[j - 1] * sin_j\n", " + noise_std * np.random.randn())\n", " gamma_star_jtp1[j - 1] = (- gamma_jt[j - 1] * sin_j\n", " + gamma_star_jt[j - 1] * cos_j\n", " + noise_std * np.random.randn())\n", " series[t] = np.sum(gamma_jtp1)\n", " gamma_jt = gamma_jtp1\n", " gamma_star_jt = gamma_star_jtp1\n", " wanted_series = series[-duration:] # Discard burn in\n", "\n", " return wanted_series" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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