{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "## Markov switching dynamic regression models" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "This notebook provides an example of the use of Markov switching models in statsmodels to estimate dynamic regression models with changes in regime. It follows the examples in the Stata Markov switching documentation, which can be found at http://www.stata.com/manuals14/tsmswitch.pdf." ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "execution": { "iopub.execute_input": "2023-01-26T15:14:39.891811Z", "iopub.status.busy": "2023-01-26T15:14:39.891589Z", "iopub.status.idle": "2023-01-26T15:14:41.496964Z", "shell.execute_reply": "2023-01-26T15:14:41.496307Z" }, "jupyter": { "outputs_hidden": false } }, "outputs": [], "source": [ "%matplotlib inline\n", "\n", "import numpy as np\n", "import pandas as pd\n", "import statsmodels.api as sm\n", "import matplotlib.pyplot as plt\n", "\n", "# NBER recessions\n", "from pandas_datareader.data import DataReader\n", "from datetime import datetime\n", "\n", "usrec = DataReader(\n", " \"USREC\", \"fred\", start=datetime(1947, 1, 1), end=datetime(2013, 4, 1)\n", ")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Federal funds rate with switching intercept\n", "\n", "The first example models the federal funds rate as noise around a constant intercept, but where the intercept changes during different regimes. The model is simply:\n", "\n", "$$r_t = \\mu_{S_t} + \\varepsilon_t \\qquad \\varepsilon_t \\sim N(0, \\sigma^2)$$\n", "\n", "where $S_t \\in \\{0, 1\\}$, and the regime transitions according to\n", "\n", "$$P(S_t = s_t | S_{t-1} = s_{t-1}) =\n", "\\begin{bmatrix}\n", "p_{00} & p_{10} \\\\\n", "1 - p_{00} & 1 - p_{10}\n", "\\end{bmatrix}\n", "$$\n", "\n", "We will estimate the parameters of this model by maximum likelihood: $p_{00}, p_{10}, \\mu_0, \\mu_1, \\sigma^2$.\n", "\n", "The data used in this example can be found at https://www.stata-press.com/data/r14/usmacro." ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "execution": { "iopub.execute_input": "2023-01-26T15:14:41.500318Z", "iopub.status.busy": "2023-01-26T15:14:41.499855Z", "iopub.status.idle": "2023-01-26T15:14:41.932342Z", "shell.execute_reply": "2023-01-26T15:14:41.931650Z" }, "jupyter": { "outputs_hidden": false } }, "outputs": [ { "data": { "image/png": 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\n", 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