{ "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": { "collapsed": false, "execution": { "iopub.execute_input": "2026-08-27T06:55:48.521026Z", "iopub.status.busy": "2026-08-27T06:55:48.520859Z", "iopub.status.idle": "2026-08-27T06:55:52.247695Z", "shell.execute_reply": "2026-08-27T06:55:52.247113Z" }, "jupyter": { "outputs_hidden": false } }, "outputs": [], "source": [ "%matplotlib inline\n", "\n", "from datetime import datetime\n", "\n", "import matplotlib.pyplot as plt\n", "import numpy as np\n", "import pandas as pd\n", "\n", "# NBER recessions\n", "from pandas_datareader.data import DataReader\n", "\n", "import statsmodels.api as sm\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": { "collapsed": false, "execution": { "iopub.execute_input": "2026-08-27T06:55:52.250504Z", "iopub.status.busy": "2026-08-27T06:55:52.250252Z", "iopub.status.idle": "2026-08-27T06:55:53.044087Z", "shell.execute_reply": "2026-08-27T06:55:53.043500Z" }, "jupyter": { "outputs_hidden": false } }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Get the federal funds rate data\n", "from statsmodels.tsa.regime_switching.tests.test_markov_regression import fedfunds\n", "\n", "dta_fedfunds = pd.Series(\n", " fedfunds, index=pd.date_range(\"1954-07-01\", \"2010-10-01\", freq=\"QS\")\n", ")\n", "\n", "# Plot the data\n", "dta_fedfunds.plot(title=\"Federal funds rate\", figsize=(12, 3))\n", "\n", "# Fit the model\n", "# (a switching mean is the default of the MarkovRegession model)\n", "mod_fedfunds = sm.tsa.MarkovRegression(dta_fedfunds, k_regimes=2)\n", "res_fedfunds = mod_fedfunds.fit()" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "collapsed": false, "execution": { "iopub.execute_input": "2026-08-27T06:55:53.048450Z", "iopub.status.busy": "2026-08-27T06:55:53.048054Z", "iopub.status.idle": "2026-08-27T06:55:53.092753Z", "shell.execute_reply": "2026-08-27T06:55:53.092153Z" }, "jupyter": { "outputs_hidden": false } }, "outputs": [ { "data": { "text/html": [ "\n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "
Markov Switching Model Results
Dep. Variable: y No. Observations: 226
Model: MarkovRegression Log Likelihood -508.636
Date: Thu, 27 Aug 2026 AIC 1027.272
Time: 06:55:53 BIC 1044.375
Sample: 07-01-1954 HQIC 1034.174
- 10-01-2010
Covariance Type: approx
\n", "\n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "
Regime 0 parameters
coef std err z P>|z| [0.025 0.975]
const 3.7088 0.177 20.988 0.000 3.362 4.055
\n", "\n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "
Regime 1 parameters
coef std err z P>|z| [0.025 0.975]
const 9.5568 0.300 31.857 0.000 8.969 10.145
\n", "\n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "
Non-switching parameters
coef std err z P>|z| [0.025 0.975]
sigma2 4.4418 0.425 10.447 0.000 3.608 5.275
\n", "\n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "
Regime transition parameters
coef std err z P>|z| [0.025 0.975]
p[0->0] 0.9821 0.010 94.443 0.000 0.962 1.002
p[1->0] 0.0504 0.027 1.876 0.061 -0.002 0.103


Warnings:
[1] Covariance matrix calculated using numerical (complex-step) differentiation." ], "text/latex": [ "\\begin{center}\n", "\\begin{tabular}{lclc}\n", "\\toprule\n", "\\textbf{Dep. Variable:} & y & \\textbf{ No. Observations: } & 226 \\\\\n", "\\textbf{Model:} & MarkovRegression & \\textbf{ Log Likelihood } & -508.636 \\\\\n", "\\textbf{Date:} & Thu, 27 Aug 2026 & \\textbf{ AIC } & 1027.272 \\\\\n", "\\textbf{Time:} & 06:55:53 & \\textbf{ BIC } & 1044.375 \\\\\n", "\\textbf{Sample:} & 07-01-1954 & \\textbf{ HQIC } & 1034.174 \\\\\n", "\\textbf{} & - 10-01-2010 & \\textbf{ } & \\\\\n", "\\textbf{Covariance Type:} & approx & \\textbf{ } & \\\\\n", "\\bottomrule\n", "\\end{tabular}\n", "\\begin{tabular}{lcccccc}\n", " & \\textbf{coef} & \\textbf{std err} & \\textbf{z} & \\textbf{P$> |$z$|$} & \\textbf{[0.025} & \\textbf{0.975]} \\\\\n", "\\midrule\n", "\\textbf{const} & 3.7088 & 0.177 & 20.988 & 0.000 & 3.362 & 4.055 \\\\\n", " & \\textbf{coef} & \\textbf{std err} & \\textbf{z} & \\textbf{P$> |$z$|$} & \\textbf{[0.025} & \\textbf{0.975]} \\\\\n", "\\midrule\n", "\\textbf{const} & 9.5568 & 0.300 & 31.857 & 0.000 & 8.969 & 10.145 \\\\\n", " & \\textbf{coef} & \\textbf{std err} & \\textbf{z} & \\textbf{P$> |$z$|$} & \\textbf{[0.025} & \\textbf{0.975]} \\\\\n", "\\midrule\n", "\\textbf{sigma2} & 4.4418 & 0.425 & 10.447 & 0.000 & 3.608 & 5.275 \\\\\n", " & \\textbf{coef} & \\textbf{std err} & \\textbf{z} & \\textbf{P$> |$z$|$} & \\textbf{[0.025} & \\textbf{0.975]} \\\\\n", "\\midrule\n", "\\textbf{p[0-$>$0]} & 0.9821 & 0.010 & 94.443 & 0.000 & 0.962 & 1.002 \\\\\n", "\\textbf{p[1-$>$0]} & 0.0504 & 0.027 & 1.876 & 0.061 & -0.002 & 0.103 \\\\\n", "\\bottomrule\n", "\\end{tabular}\n", "%\\caption{Markov Switching Model Results}\n", "\\end{center}\n", "\n", "Warnings: \\newline\n", " [1] Covariance matrix calculated using numerical (complex-step) differentiation." ], "text/plain": [ "\n", "\"\"\"\n", " Markov Switching Model Results \n", "==============================================================================\n", "Dep. Variable: y No. Observations: 226\n", "Model: MarkovRegression Log Likelihood -508.636\n", "Date: Thu, 27 Aug 2026 AIC 1027.272\n", "Time: 06:55:53 BIC 1044.375\n", "Sample: 07-01-1954 HQIC 1034.174\n", " - 10-01-2010 \n", "Covariance Type: approx \n", " Regime 0 parameters \n", "==============================================================================\n", " coef std err z P>|z| [0.025 0.975]\n", "------------------------------------------------------------------------------\n", "const 3.7088 0.177 20.988 0.000 3.362 4.055\n", " Regime 1 parameters \n", "==============================================================================\n", " coef std err z P>|z| [0.025 0.975]\n", "------------------------------------------------------------------------------\n", "const 9.5568 0.300 31.857 0.000 8.969 10.145\n", " Non-switching parameters \n", "==============================================================================\n", " coef std err z P>|z| [0.025 0.975]\n", "------------------------------------------------------------------------------\n", "sigma2 4.4418 0.425 10.447 0.000 3.608 5.275\n", " Regime transition parameters \n", "==============================================================================\n", " coef std err z P>|z| [0.025 0.975]\n", "------------------------------------------------------------------------------\n", "p[0->0] 0.9821 0.010 94.443 0.000 0.962 1.002\n", "p[1->0] 0.0504 0.027 1.876 0.061 -0.002 0.103\n", "==============================================================================\n", "\n", "Warnings:\n", "[1] Covariance matrix calculated using numerical (complex-step) differentiation.\n", "\"\"\"" ] }, "execution_count": 3, "metadata": {}, "output_type": "execute_result" } ], "source": [ "res_fedfunds.summary()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "From the summary output, the mean federal funds rate in the first regime (the \"low regime\") is estimated to be $3.7$ whereas in the \"high regime\" it is $9.6$. Below we plot the smoothed probabilities of being in the high regime. The model suggests that the 1980's was a time-period in which a high federal funds rate existed." ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "collapsed": false, "execution": { "iopub.execute_input": "2026-08-27T06:55:53.096683Z", "iopub.status.busy": "2026-08-27T06:55:53.096461Z", "iopub.status.idle": "2026-08-27T06:55:53.425892Z", "shell.execute_reply": "2026-08-27T06:55:53.425165Z" }, "jupyter": { "outputs_hidden": false } }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 4, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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"text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "res_fedfunds.smoothed_marginal_probabilities[1].plot(\n", " title=\"Probability of being in the high regime\", figsize=(12, 3)\n", ")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "From the estimated transition matrix we can calculate the expected duration of a low regime versus a high regime." ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "collapsed": false, "execution": { "iopub.execute_input": "2026-08-27T06:55:53.432039Z", "iopub.status.busy": "2026-08-27T06:55:53.431808Z", "iopub.status.idle": "2026-08-27T06:55:53.439440Z", "shell.execute_reply": "2026-08-27T06:55:53.438942Z" }, "jupyter": { "outputs_hidden": false } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[55.85400626 19.85506546]\n" ] } ], "source": [ "print(res_fedfunds.expected_durations)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "A low regime is expected to persist for about fourteen years, whereas the high regime is expected to persist for only about five years." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Federal funds rate with switching intercept and lagged dependent variable\n", "\n", "The second example augments the previous model to include the lagged value of the federal funds rate.\n", "\n", "$$r_t = \\mu_{S_t} + r_{t-1} \\beta_{S_t} + \\varepsilon_t \\qquad \\varepsilon_t \\sim N(0, \\sigma^2)$$\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: $p_{00}, p_{10}, \\mu_0, \\mu_1, \\beta_0, \\beta_1, \\sigma^2$." ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "execution": { "iopub.execute_input": "2026-08-27T06:55:53.441857Z", "iopub.status.busy": "2026-08-27T06:55:53.441640Z", "iopub.status.idle": "2026-08-27T06:55:53.915935Z", "shell.execute_reply": "2026-08-27T06:55:53.915115Z" } }, "outputs": [], "source": [ "# Fit the model\n", "mod_fedfunds2 = sm.tsa.MarkovRegression(\n", " dta_fedfunds.iloc[1:], k_regimes=2, exog=dta_fedfunds.iloc[:-1]\n", ")\n", "res_fedfunds2 = mod_fedfunds2.fit()" ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "collapsed": false, "execution": { "iopub.execute_input": "2026-08-27T06:55:53.920231Z", "iopub.status.busy": "2026-08-27T06:55:53.919218Z", "iopub.status.idle": "2026-08-27T06:55:53.947395Z", "shell.execute_reply": "2026-08-27T06:55:53.946200Z" }, "jupyter": { "outputs_hidden": false } }, "outputs": [ { "data": { "text/html": [ "\n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "
Markov Switching Model Results
Dep. Variable: y No. Observations: 225
Model: MarkovRegression Log Likelihood -264.711
Date: Thu, 27 Aug 2026 AIC 543.421
Time: 06:55:53 BIC 567.334
Sample: 10-01-1954 HQIC 553.073
- 10-01-2010
Covariance Type: approx
\n", "\n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "
Regime 0 parameters
coef std err z P>|z| [0.025 0.975]
const 0.7245 0.289 2.510 0.012 0.159 1.290
x1 0.7631 0.034 22.629 0.000 0.697 0.829
\n", "\n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "
Regime 1 parameters
coef std err z P>|z| [0.025 0.975]
const -0.0989 0.118 -0.835 0.404 -0.331 0.133
x1 1.0612 0.019 57.351 0.000 1.025 1.097
\n", "\n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "
Non-switching parameters
coef std err z P>|z| [0.025 0.975]
sigma2 0.4783 0.050 9.642 0.000 0.381 0.576
\n", "\n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "
Regime transition parameters
coef std err z P>|z| [0.025 0.975]
p[0->0] 0.6378 0.120 5.304 0.000 0.402 0.874
p[1->0] 0.1306 0.050 2.634 0.008 0.033 0.228


Warnings:
[1] Covariance matrix calculated using numerical (complex-step) differentiation." ], "text/latex": [ "\\begin{center}\n", "\\begin{tabular}{lclc}\n", "\\toprule\n", "\\textbf{Dep. Variable:} & y & \\textbf{ No. Observations: } & 225 \\\\\n", "\\textbf{Model:} & MarkovRegression & \\textbf{ Log Likelihood } & -264.711 \\\\\n", "\\textbf{Date:} & Thu, 27 Aug 2026 & \\textbf{ AIC } & 543.421 \\\\\n", "\\textbf{Time:} & 06:55:53 & \\textbf{ BIC } & 567.334 \\\\\n", "\\textbf{Sample:} & 10-01-1954 & \\textbf{ HQIC } & 553.073 \\\\\n", "\\textbf{} & - 10-01-2010 & \\textbf{ } & \\\\\n", "\\textbf{Covariance Type:} & approx & \\textbf{ } & \\\\\n", "\\bottomrule\n", "\\end{tabular}\n", "\\begin{tabular}{lcccccc}\n", " & \\textbf{coef} & \\textbf{std err} & \\textbf{z} & \\textbf{P$> |$z$|$} & \\textbf{[0.025} & \\textbf{0.975]} \\\\\n", "\\midrule\n", "\\textbf{const} & 0.7245 & 0.289 & 2.510 & 0.012 & 0.159 & 1.290 \\\\\n", "\\textbf{x1} & 0.7631 & 0.034 & 22.629 & 0.000 & 0.697 & 0.829 \\\\\n", " & \\textbf{coef} & \\textbf{std err} & \\textbf{z} & \\textbf{P$> |$z$|$} & \\textbf{[0.025} & \\textbf{0.975]} \\\\\n", "\\midrule\n", "\\textbf{const} & -0.0989 & 0.118 & -0.835 & 0.404 & -0.331 & 0.133 \\\\\n", "\\textbf{x1} & 1.0612 & 0.019 & 57.351 & 0.000 & 1.025 & 1.097 \\\\\n", " & \\textbf{coef} & \\textbf{std err} & \\textbf{z} & \\textbf{P$> |$z$|$} & \\textbf{[0.025} & \\textbf{0.975]} \\\\\n", "\\midrule\n", "\\textbf{sigma2} & 0.4783 & 0.050 & 9.642 & 0.000 & 0.381 & 0.576 \\\\\n", " & \\textbf{coef} & \\textbf{std err} & \\textbf{z} & \\textbf{P$> |$z$|$} & \\textbf{[0.025} & \\textbf{0.975]} \\\\\n", "\\midrule\n", "\\textbf{p[0-$>$0]} & 0.6378 & 0.120 & 5.304 & 0.000 & 0.402 & 0.874 \\\\\n", "\\textbf{p[1-$>$0]} & 0.1306 & 0.050 & 2.634 & 0.008 & 0.033 & 0.228 \\\\\n", "\\bottomrule\n", "\\end{tabular}\n", "%\\caption{Markov Switching Model Results}\n", "\\end{center}\n", "\n", "Warnings: \\newline\n", " [1] Covariance matrix calculated using numerical (complex-step) differentiation." ], "text/plain": [ "\n", "\"\"\"\n", " Markov Switching Model Results \n", "==============================================================================\n", "Dep. Variable: y No. Observations: 225\n", "Model: MarkovRegression Log Likelihood -264.711\n", "Date: Thu, 27 Aug 2026 AIC 543.421\n", "Time: 06:55:53 BIC 567.334\n", "Sample: 10-01-1954 HQIC 553.073\n", " - 10-01-2010 \n", "Covariance Type: approx \n", " Regime 0 parameters \n", "==============================================================================\n", " coef std err z P>|z| [0.025 0.975]\n", "------------------------------------------------------------------------------\n", "const 0.7245 0.289 2.510 0.012 0.159 1.290\n", "x1 0.7631 0.034 22.629 0.000 0.697 0.829\n", " Regime 1 parameters \n", "==============================================================================\n", " coef std err z P>|z| [0.025 0.975]\n", "------------------------------------------------------------------------------\n", "const -0.0989 0.118 -0.835 0.404 -0.331 0.133\n", "x1 1.0612 0.019 57.351 0.000 1.025 1.097\n", " Non-switching parameters \n", "==============================================================================\n", " coef std err z P>|z| [0.025 0.975]\n", "------------------------------------------------------------------------------\n", "sigma2 0.4783 0.050 9.642 0.000 0.381 0.576\n", " Regime transition parameters \n", "==============================================================================\n", " coef std err z P>|z| [0.025 0.975]\n", "------------------------------------------------------------------------------\n", "p[0->0] 0.6378 0.120 5.304 0.000 0.402 0.874\n", "p[1->0] 0.1306 0.050 2.634 0.008 0.033 0.228\n", "==============================================================================\n", "\n", "Warnings:\n", "[1] Covariance matrix calculated using numerical (complex-step) differentiation.\n", "\"\"\"" ] }, "execution_count": 7, "metadata": {}, "output_type": "execute_result" } ], "source": [ "res_fedfunds2.summary()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "There are several things to notice from the summary output:\n", "\n", "1. The information criteria have decreased substantially, indicating that this model has a better fit than the previous model.\n", "2. The interpretation of the regimes, in terms of the intercept, have switched. Now the first regime has the higher intercept and the second regime has a lower intercept.\n", "\n", "Examining the smoothed probabilities of the high regime state, we now see quite a bit more variability." ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "collapsed": false, "execution": { "iopub.execute_input": "2026-08-27T06:55:53.949586Z", "iopub.status.busy": "2026-08-27T06:55:53.949347Z", "iopub.status.idle": "2026-08-27T06:55:54.266330Z", "shell.execute_reply": "2026-08-27T06:55:54.263504Z" }, "jupyter": { "outputs_hidden": false } }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 8, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "res_fedfunds2.smoothed_marginal_probabilities[0].plot(\n", " title=\"Probability of being in the high regime\", figsize=(12, 3)\n", ")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Finally, the expected durations of each regime have decreased quite a bit." ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "collapsed": false, "execution": { "iopub.execute_input": "2026-08-27T06:55:54.268554Z", "iopub.status.busy": "2026-08-27T06:55:54.268323Z", "iopub.status.idle": "2026-08-27T06:55:54.275468Z", "shell.execute_reply": "2026-08-27T06:55:54.274912Z" }, "jupyter": { "outputs_hidden": false } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[2.76105188 7.65529154]\n" ] } ], "source": [ "print(res_fedfunds2.expected_durations)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Taylor rule with 2 or 3 regimes\n", "\n", "We now include two additional exogenous variables - a measure of the output gap and a measure of inflation - to estimate a switching Taylor-type rule with both 2 and 3 regimes to see which fits the data better.\n", "\n", "Because the models can be often difficult to estimate, for the 3-regime model we employ a search over starting parameters to improve results, specifying 20 random search repetitions." ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "collapsed": false, "execution": { "iopub.execute_input": "2026-08-27T06:55:54.280704Z", "iopub.status.busy": "2026-08-27T06:55:54.280475Z", "iopub.status.idle": "2026-08-27T06:55:59.822409Z", "shell.execute_reply": "2026-08-27T06:55:59.819620Z" }, "jupyter": { "outputs_hidden": false } }, "outputs": [], "source": [ "# Get the additional data\n", "from statsmodels.tsa.regime_switching.tests.test_markov_regression import inf, ogap\n", "\n", "dta_ogap = pd.Series(ogap, index=pd.date_range(\"1954-07-01\", \"2010-10-01\", freq=\"QS\"))\n", "dta_inf = pd.Series(inf, index=pd.date_range(\"1954-07-01\", \"2010-10-01\", freq=\"QS\"))\n", "\n", "exog = pd.concat((dta_fedfunds.shift(), dta_ogap, dta_inf), axis=1).iloc[4:]\n", "\n", "# Fit the 2-regime model\n", "mod_fedfunds3 = sm.tsa.MarkovRegression(dta_fedfunds.iloc[4:], k_regimes=2, exog=exog)\n", "res_fedfunds3 = mod_fedfunds3.fit()\n", "\n", "# Fit the 3-regime model\n", "np.random.seed(12345)\n", "mod_fedfunds4 = sm.tsa.MarkovRegression(dta_fedfunds.iloc[4:], k_regimes=3, exog=exog)\n", "res_fedfunds4 = mod_fedfunds4.fit(search_reps=20)" ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "collapsed": false, "execution": { "iopub.execute_input": "2026-08-27T06:55:59.827792Z", "iopub.status.busy": "2026-08-27T06:55:59.827453Z", "iopub.status.idle": "2026-08-27T06:55:59.884972Z", "shell.execute_reply": "2026-08-27T06:55:59.884183Z" }, "jupyter": { "outputs_hidden": false } }, "outputs": [ { "data": { "text/html": [ "\n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "
Markov Switching Model Results
Dep. Variable: y No. Observations: 222
Model: MarkovRegression Log Likelihood -229.256
Date: Thu, 27 Aug 2026 AIC 480.512
Time: 06:55:59 BIC 517.942
Sample: 07-01-1955 HQIC 495.624
- 10-01-2010
Covariance Type: approx
\n", "\n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "
Regime 0 parameters
coef std err z P>|z| [0.025 0.975]
const 0.6555 0.137 4.771 0.000 0.386 0.925
x1 0.8314 0.033 24.951 0.000 0.766 0.897
x2 0.1355 0.029 4.609 0.000 0.078 0.193
x3 -0.0274 0.041 -0.671 0.502 -0.107 0.053
\n", "\n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "
Regime 1 parameters
coef std err z P>|z| [0.025 0.975]
const -0.0945 0.128 -0.739 0.460 -0.345 0.156
x1 0.9293 0.027 34.309 0.000 0.876 0.982
x2 0.0343 0.024 1.429 0.153 -0.013 0.081
x3 0.2125 0.030 7.147 0.000 0.154 0.271
\n", "\n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "
Non-switching parameters
coef std err z P>|z| [0.025 0.975]
sigma2 0.3323 0.035 9.526 0.000 0.264 0.401
\n", "\n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "
Regime transition parameters
coef std err z P>|z| [0.025 0.975]
p[0->0] 0.7279 0.093 7.828 0.000 0.546 0.910
p[1->0] 0.2115 0.064 3.298 0.001 0.086 0.337


Warnings:
[1] Covariance matrix calculated using numerical (complex-step) differentiation." ], "text/latex": [ "\\begin{center}\n", "\\begin{tabular}{lclc}\n", "\\toprule\n", "\\textbf{Dep. Variable:} & y & \\textbf{ No. Observations: } & 222 \\\\\n", "\\textbf{Model:} & MarkovRegression & \\textbf{ Log Likelihood } & -229.256 \\\\\n", "\\textbf{Date:} & Thu, 27 Aug 2026 & \\textbf{ AIC } & 480.512 \\\\\n", "\\textbf{Time:} & 06:55:59 & \\textbf{ BIC } & 517.942 \\\\\n", "\\textbf{Sample:} & 07-01-1955 & \\textbf{ HQIC } & 495.624 \\\\\n", "\\textbf{} & - 10-01-2010 & \\textbf{ } & \\\\\n", "\\textbf{Covariance Type:} & approx & \\textbf{ } & \\\\\n", "\\bottomrule\n", "\\end{tabular}\n", "\\begin{tabular}{lcccccc}\n", " & \\textbf{coef} & \\textbf{std err} & \\textbf{z} & \\textbf{P$> |$z$|$} & \\textbf{[0.025} & \\textbf{0.975]} \\\\\n", "\\midrule\n", "\\textbf{const} & 0.6555 & 0.137 & 4.771 & 0.000 & 0.386 & 0.925 \\\\\n", "\\textbf{x1} & 0.8314 & 0.033 & 24.951 & 0.000 & 0.766 & 0.897 \\\\\n", "\\textbf{x2} & 0.1355 & 0.029 & 4.609 & 0.000 & 0.078 & 0.193 \\\\\n", "\\textbf{x3} & -0.0274 & 0.041 & -0.671 & 0.502 & -0.107 & 0.053 \\\\\n", " & \\textbf{coef} & \\textbf{std err} & \\textbf{z} & \\textbf{P$> |$z$|$} & \\textbf{[0.025} & \\textbf{0.975]} \\\\\n", "\\midrule\n", "\\textbf{const} & -0.0945 & 0.128 & -0.739 & 0.460 & -0.345 & 0.156 \\\\\n", "\\textbf{x1} & 0.9293 & 0.027 & 34.309 & 0.000 & 0.876 & 0.982 \\\\\n", "\\textbf{x2} & 0.0343 & 0.024 & 1.429 & 0.153 & -0.013 & 0.081 \\\\\n", "\\textbf{x3} & 0.2125 & 0.030 & 7.147 & 0.000 & 0.154 & 0.271 \\\\\n", " & \\textbf{coef} & \\textbf{std err} & \\textbf{z} & \\textbf{P$> |$z$|$} & \\textbf{[0.025} & \\textbf{0.975]} \\\\\n", "\\midrule\n", "\\textbf{sigma2} & 0.3323 & 0.035 & 9.526 & 0.000 & 0.264 & 0.401 \\\\\n", " & \\textbf{coef} & \\textbf{std err} & \\textbf{z} & \\textbf{P$> |$z$|$} & \\textbf{[0.025} & \\textbf{0.975]} \\\\\n", "\\midrule\n", "\\textbf{p[0-$>$0]} & 0.7279 & 0.093 & 7.828 & 0.000 & 0.546 & 0.910 \\\\\n", "\\textbf{p[1-$>$0]} & 0.2115 & 0.064 & 3.298 & 0.001 & 0.086 & 0.337 \\\\\n", "\\bottomrule\n", "\\end{tabular}\n", "%\\caption{Markov Switching Model Results}\n", "\\end{center}\n", "\n", "Warnings: \\newline\n", " [1] Covariance matrix calculated using numerical (complex-step) differentiation." ], "text/plain": [ "\n", "\"\"\"\n", " Markov Switching Model Results \n", "==============================================================================\n", "Dep. Variable: y No. Observations: 222\n", "Model: MarkovRegression Log Likelihood -229.256\n", "Date: Thu, 27 Aug 2026 AIC 480.512\n", "Time: 06:55:59 BIC 517.942\n", "Sample: 07-01-1955 HQIC 495.624\n", " - 10-01-2010 \n", "Covariance Type: approx \n", " Regime 0 parameters \n", "==============================================================================\n", " coef std err z P>|z| [0.025 0.975]\n", "------------------------------------------------------------------------------\n", "const 0.6555 0.137 4.771 0.000 0.386 0.925\n", "x1 0.8314 0.033 24.951 0.000 0.766 0.897\n", "x2 0.1355 0.029 4.609 0.000 0.078 0.193\n", "x3 -0.0274 0.041 -0.671 0.502 -0.107 0.053\n", " Regime 1 parameters \n", "==============================================================================\n", " coef std err z P>|z| [0.025 0.975]\n", "------------------------------------------------------------------------------\n", "const -0.0945 0.128 -0.739 0.460 -0.345 0.156\n", "x1 0.9293 0.027 34.309 0.000 0.876 0.982\n", "x2 0.0343 0.024 1.429 0.153 -0.013 0.081\n", "x3 0.2125 0.030 7.147 0.000 0.154 0.271\n", " Non-switching parameters \n", "==============================================================================\n", " coef std err z P>|z| [0.025 0.975]\n", "------------------------------------------------------------------------------\n", "sigma2 0.3323 0.035 9.526 0.000 0.264 0.401\n", " Regime transition parameters \n", "==============================================================================\n", " coef std err z P>|z| [0.025 0.975]\n", "------------------------------------------------------------------------------\n", "p[0->0] 0.7279 0.093 7.828 0.000 0.546 0.910\n", "p[1->0] 0.2115 0.064 3.298 0.001 0.086 0.337\n", "==============================================================================\n", "\n", "Warnings:\n", "[1] Covariance matrix calculated using numerical (complex-step) differentiation.\n", "\"\"\"" ] }, "execution_count": 11, "metadata": {}, "output_type": "execute_result" } ], "source": [ "res_fedfunds3.summary()" ] }, { "cell_type": "code", "execution_count": 12, "metadata": { "collapsed": false, "execution": { "iopub.execute_input": "2026-08-27T06:55:59.892649Z", "iopub.status.busy": "2026-08-27T06:55:59.892248Z", "iopub.status.idle": "2026-08-27T06:55:59.979941Z", "shell.execute_reply": "2026-08-27T06:55:59.978964Z" }, "jupyter": { "outputs_hidden": false } }, "outputs": [ { "data": { "text/html": [ "\n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "
Markov Switching Model Results
Dep. Variable: y No. Observations: 222
Model: MarkovRegression Log Likelihood -180.806
Date: Thu, 27 Aug 2026 AIC 399.611
Time: 06:55:59 BIC 464.262
Sample: 07-01-1955 HQIC 425.713
- 10-01-2010
Covariance Type: approx
\n", "\n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "
Regime 0 parameters
coef std err z P>|z| [0.025 0.975]
const -1.0250 0.290 -3.531 0.000 -1.594 -0.456
x1 0.3277 0.086 3.812 0.000 0.159 0.496
x2 0.2036 0.049 4.152 0.000 0.107 0.300
x3 1.1381 0.081 13.977 0.000 0.978 1.298
\n", "\n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "
Regime 1 parameters
coef std err z P>|z| [0.025 0.975]
const 0.7346 0.130 5.632 0.000 0.479 0.990
x1 0.8436 0.024 35.198 0.000 0.797 0.891
x2 0.1633 0.025 6.515 0.000 0.114 0.212
x3 -0.0499 0.027 -1.835 0.067 -0.103 0.003
\n", "\n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "
Regime 2 parameters
coef std err z P>|z| [0.025 0.975]
const -0.0259 0.087 -0.298 0.765 -0.196 0.144
x1 0.9737 0.019 50.265 0.000 0.936 1.012
x2 0.0341 0.017 2.030 0.042 0.001 0.067
x3 0.1215 0.022 5.606 0.000 0.079 0.164
\n", "\n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "
Non-switching parameters
coef std err z P>|z| [0.025 0.975]
sigma2 0.1660 0.018 9.240 0.000 0.131 0.201
\n", "\n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "
Regime transition parameters
coef std err z P>|z| [0.025 0.975]
p[0->0] 0.7214 0.117 6.177 0.000 0.492 0.950
p[1->0] 0.0783 0.038 2.079 0.038 0.004 0.152
p[2->0] 1.429e-08 nan nan nan nan nan
p[0->1] 0.1742 0.113 1.543 0.123 -0.047 0.396
p[1->1] 0.6929 0.081 8.533 0.000 0.534 0.852
p[2->1] 0.1741 0.054 3.206 0.001 0.068 0.281


Warnings:
[1] Covariance matrix calculated using numerical (complex-step) differentiation." ], "text/latex": [ "\\begin{center}\n", "\\begin{tabular}{lclc}\n", "\\toprule\n", "\\textbf{Dep. Variable:} & y & \\textbf{ No. Observations: } & 222 \\\\\n", "\\textbf{Model:} & MarkovRegression & \\textbf{ Log Likelihood } & -180.806 \\\\\n", "\\textbf{Date:} & Thu, 27 Aug 2026 & \\textbf{ AIC } & 399.611 \\\\\n", "\\textbf{Time:} & 06:55:59 & \\textbf{ BIC } & 464.262 \\\\\n", "\\textbf{Sample:} & 07-01-1955 & \\textbf{ HQIC } & 425.713 \\\\\n", "\\textbf{} & - 10-01-2010 & \\textbf{ } & \\\\\n", "\\textbf{Covariance Type:} & approx & \\textbf{ } & \\\\\n", "\\bottomrule\n", "\\end{tabular}\n", "\\begin{tabular}{lcccccc}\n", " & \\textbf{coef} & \\textbf{std err} & \\textbf{z} & \\textbf{P$> |$z$|$} & \\textbf{[0.025} & \\textbf{0.975]} \\\\\n", "\\midrule\n", "\\textbf{const} & -1.0250 & 0.290 & -3.531 & 0.000 & -1.594 & -0.456 \\\\\n", "\\textbf{x1} & 0.3277 & 0.086 & 3.812 & 0.000 & 0.159 & 0.496 \\\\\n", "\\textbf{x2} & 0.2036 & 0.049 & 4.152 & 0.000 & 0.107 & 0.300 \\\\\n", "\\textbf{x3} & 1.1381 & 0.081 & 13.977 & 0.000 & 0.978 & 1.298 \\\\\n", " & \\textbf{coef} & \\textbf{std err} & \\textbf{z} & \\textbf{P$> |$z$|$} & \\textbf{[0.025} & \\textbf{0.975]} \\\\\n", "\\midrule\n", "\\textbf{const} & 0.7346 & 0.130 & 5.632 & 0.000 & 0.479 & 0.990 \\\\\n", "\\textbf{x1} & 0.8436 & 0.024 & 35.198 & 0.000 & 0.797 & 0.891 \\\\\n", "\\textbf{x2} & 0.1633 & 0.025 & 6.515 & 0.000 & 0.114 & 0.212 \\\\\n", "\\textbf{x3} & -0.0499 & 0.027 & -1.835 & 0.067 & -0.103 & 0.003 \\\\\n", " & \\textbf{coef} & \\textbf{std err} & \\textbf{z} & \\textbf{P$> |$z$|$} & \\textbf{[0.025} & \\textbf{0.975]} \\\\\n", "\\midrule\n", "\\textbf{const} & -0.0259 & 0.087 & -0.298 & 0.765 & -0.196 & 0.144 \\\\\n", "\\textbf{x1} & 0.9737 & 0.019 & 50.265 & 0.000 & 0.936 & 1.012 \\\\\n", "\\textbf{x2} & 0.0341 & 0.017 & 2.030 & 0.042 & 0.001 & 0.067 \\\\\n", "\\textbf{x3} & 0.1215 & 0.022 & 5.606 & 0.000 & 0.079 & 0.164 \\\\\n", " & \\textbf{coef} & \\textbf{std err} & \\textbf{z} & \\textbf{P$> |$z$|$} & \\textbf{[0.025} & \\textbf{0.975]} \\\\\n", "\\midrule\n", "\\textbf{sigma2} & 0.1660 & 0.018 & 9.240 & 0.000 & 0.131 & 0.201 \\\\\n", " & \\textbf{coef} & \\textbf{std err} & \\textbf{z} & \\textbf{P$> |$z$|$} & \\textbf{[0.025} & \\textbf{0.975]} \\\\\n", "\\midrule\n", "\\textbf{p[0-$>$0]} & 0.7214 & 0.117 & 6.177 & 0.000 & 0.492 & 0.950 \\\\\n", "\\textbf{p[1-$>$0]} & 0.0783 & 0.038 & 2.079 & 0.038 & 0.004 & 0.152 \\\\\n", "\\textbf{p[2-$>$0]} & 1.429e-08 & nan & nan & nan & nan & nan \\\\\n", "\\textbf{p[0-$>$1]} & 0.1742 & 0.113 & 1.543 & 0.123 & -0.047 & 0.396 \\\\\n", "\\textbf{p[1-$>$1]} & 0.6929 & 0.081 & 8.533 & 0.000 & 0.534 & 0.852 \\\\\n", "\\textbf{p[2-$>$1]} & 0.1741 & 0.054 & 3.206 & 0.001 & 0.068 & 0.281 \\\\\n", "\\bottomrule\n", "\\end{tabular}\n", "%\\caption{Markov Switching Model Results}\n", "\\end{center}\n", "\n", "Warnings: \\newline\n", " [1] Covariance matrix calculated using numerical (complex-step) differentiation." ], "text/plain": [ "\n", "\"\"\"\n", " Markov Switching Model Results \n", "==============================================================================\n", "Dep. Variable: y No. Observations: 222\n", "Model: MarkovRegression Log Likelihood -180.806\n", "Date: Thu, 27 Aug 2026 AIC 399.611\n", "Time: 06:55:59 BIC 464.262\n", "Sample: 07-01-1955 HQIC 425.713\n", " - 10-01-2010 \n", "Covariance Type: approx \n", " Regime 0 parameters \n", "==============================================================================\n", " coef std err z P>|z| [0.025 0.975]\n", "------------------------------------------------------------------------------\n", "const -1.0250 0.290 -3.531 0.000 -1.594 -0.456\n", "x1 0.3277 0.086 3.812 0.000 0.159 0.496\n", "x2 0.2036 0.049 4.152 0.000 0.107 0.300\n", "x3 1.1381 0.081 13.977 0.000 0.978 1.298\n", " Regime 1 parameters \n", "==============================================================================\n", " coef std err z P>|z| [0.025 0.975]\n", "------------------------------------------------------------------------------\n", "const 0.7346 0.130 5.632 0.000 0.479 0.990\n", "x1 0.8436 0.024 35.198 0.000 0.797 0.891\n", "x2 0.1633 0.025 6.515 0.000 0.114 0.212\n", "x3 -0.0499 0.027 -1.835 0.067 -0.103 0.003\n", " Regime 2 parameters \n", "==============================================================================\n", " coef std err z P>|z| [0.025 0.975]\n", "------------------------------------------------------------------------------\n", "const -0.0259 0.087 -0.298 0.765 -0.196 0.144\n", "x1 0.9737 0.019 50.265 0.000 0.936 1.012\n", "x2 0.0341 0.017 2.030 0.042 0.001 0.067\n", "x3 0.1215 0.022 5.606 0.000 0.079 0.164\n", " Non-switching parameters \n", "==============================================================================\n", " coef std err z P>|z| [0.025 0.975]\n", "------------------------------------------------------------------------------\n", "sigma2 0.1660 0.018 9.240 0.000 0.131 0.201\n", " Regime transition parameters \n", "==============================================================================\n", " coef std err z P>|z| [0.025 0.975]\n", "------------------------------------------------------------------------------\n", "p[0->0] 0.7214 0.117 6.177 0.000 0.492 0.950\n", "p[1->0] 0.0783 0.038 2.079 0.038 0.004 0.152\n", "p[2->0] 1.429e-08 nan nan nan nan nan\n", "p[0->1] 0.1742 0.113 1.543 0.123 -0.047 0.396\n", "p[1->1] 0.6929 0.081 8.533 0.000 0.534 0.852\n", "p[2->1] 0.1741 0.054 3.206 0.001 0.068 0.281\n", "==============================================================================\n", "\n", "Warnings:\n", "[1] Covariance matrix calculated using numerical (complex-step) differentiation.\n", "\"\"\"" ] }, "execution_count": 12, "metadata": {}, "output_type": "execute_result" } ], "source": [ "res_fedfunds4.summary()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Due to lower information criteria, we might prefer the 3-state model, with an interpretation of low-, medium-, and high-interest rate regimes. The smoothed probabilities of each regime are plotted below." ] }, { "cell_type": "code", "execution_count": 13, "metadata": { "collapsed": false, "execution": { "iopub.execute_input": "2026-08-27T06:55:59.985426Z", "iopub.status.busy": "2026-08-27T06:55:59.982920Z", "iopub.status.idle": "2026-08-27T06:56:01.397152Z", "shell.execute_reply": "2026-08-27T06:56:01.396190Z" }, "jupyter": { "outputs_hidden": false } }, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, axes = plt.subplots(3, figsize=(10, 7))\n", "\n", "ax = axes[0]\n", "ax.plot(res_fedfunds4.smoothed_marginal_probabilities[0])\n", "ax.set(title=\"Smoothed probability of a low-interest rate regime\")\n", "\n", "ax = axes[1]\n", "ax.plot(res_fedfunds4.smoothed_marginal_probabilities[1])\n", "ax.set(title=\"Smoothed probability of a medium-interest rate regime\")\n", "\n", "ax = axes[2]\n", "ax.plot(res_fedfunds4.smoothed_marginal_probabilities[2])\n", "ax.set(title=\"Smoothed probability of a high-interest rate regime\")\n", "\n", "fig.tight_layout()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Switching variances\n", "\n", "We can also accommodate switching variances. In particular, we consider the model\n", "\n", "$$\n", "y_t = \\mu_{S_t} + y_{t-1} \\beta_{S_t} + \\varepsilon_t \\quad \\varepsilon_t \\sim N(0, \\sigma_{S_t}^2)\n", "$$\n", "\n", "We use maximum likelihood to estimate the parameters of this model: $p_{00}, p_{10}, \\mu_0, \\mu_1, \\beta_0, \\beta_1, \\sigma_0^2, \\sigma_1^2$.\n", "\n", "The application is to absolute returns on stocks, where the data can be found at https://www.stata-press.com/data/r14/snp500." ] }, { "cell_type": "code", "execution_count": 14, "metadata": { "collapsed": false, "execution": { "iopub.execute_input": "2026-08-27T06:56:01.399999Z", "iopub.status.busy": "2026-08-27T06:56:01.399710Z", "iopub.status.idle": "2026-08-27T06:56:02.496527Z", "shell.execute_reply": "2026-08-27T06:56:02.493097Z" }, "jupyter": { "outputs_hidden": false } }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Get the federal funds rate data\n", "from statsmodels.tsa.regime_switching.tests.test_markov_regression import areturns\n", "\n", "dta_areturns = pd.Series(\n", " areturns, index=pd.date_range(\"2004-05-04\", \"2014-5-03\", freq=\"W\")\n", ")\n", "\n", "# Plot the data\n", "dta_areturns.plot(title=\"Absolute returns, S&P500\", figsize=(12, 3))\n", "\n", "# Fit the model\n", "mod_areturns = sm.tsa.MarkovRegression(\n", " dta_areturns.iloc[1:],\n", " k_regimes=2,\n", " exog=dta_areturns.iloc[:-1],\n", " switching_variance=True,\n", ")\n", "res_areturns = mod_areturns.fit()" ] }, { "cell_type": "code", "execution_count": 15, "metadata": { "collapsed": false, "execution": { "iopub.execute_input": "2026-08-27T06:56:02.499171Z", "iopub.status.busy": "2026-08-27T06:56:02.498930Z", "iopub.status.idle": "2026-08-27T06:56:02.548058Z", "shell.execute_reply": "2026-08-27T06:56:02.547283Z" }, "jupyter": { "outputs_hidden": false } }, "outputs": [ { "data": { "text/html": [ "\n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "
Markov Switching Model Results
Dep. Variable: y No. Observations: 520
Model: MarkovRegression Log Likelihood -745.798
Date: Thu, 27 Aug 2026 AIC 1507.595
Time: 06:56:02 BIC 1541.626
Sample: 05-16-2004 HQIC 1520.926
- 04-27-2014
Covariance Type: approx
\n", "\n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "
Regime 0 parameters
coef std err z P>|z| [0.025 0.975]
const 0.7641 0.078 9.761 0.000 0.611 0.918
x1 0.0791 0.030 2.620 0.009 0.020 0.138
sigma2 0.3476 0.061 5.694 0.000 0.228 0.467
\n", "\n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "
Regime 1 parameters
coef std err z P>|z| [0.025 0.975]
const 1.9728 0.278 7.086 0.000 1.427 2.518
x1 0.5280 0.086 6.155 0.000 0.360 0.696
sigma2 2.5771 0.405 6.357 0.000 1.783 3.372
\n", "\n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "
Regime transition parameters
coef std err z P>|z| [0.025 0.975]
p[0->0] 0.7531 0.063 11.871 0.000 0.629 0.877
p[1->0] 0.6825 0.066 10.301 0.000 0.553 0.812


Warnings:
[1] Covariance matrix calculated using numerical (complex-step) differentiation." ], "text/latex": [ "\\begin{center}\n", "\\begin{tabular}{lclc}\n", "\\toprule\n", "\\textbf{Dep. Variable:} & y & \\textbf{ No. Observations: } & 520 \\\\\n", "\\textbf{Model:} & MarkovRegression & \\textbf{ Log Likelihood } & -745.798 \\\\\n", "\\textbf{Date:} & Thu, 27 Aug 2026 & \\textbf{ AIC } & 1507.595 \\\\\n", "\\textbf{Time:} & 06:56:02 & \\textbf{ BIC } & 1541.626 \\\\\n", "\\textbf{Sample:} & 05-16-2004 & \\textbf{ HQIC } & 1520.926 \\\\\n", "\\textbf{} & - 04-27-2014 & \\textbf{ } & \\\\\n", "\\textbf{Covariance Type:} & approx & \\textbf{ } & \\\\\n", "\\bottomrule\n", "\\end{tabular}\n", "\\begin{tabular}{lcccccc}\n", " & \\textbf{coef} & \\textbf{std err} & \\textbf{z} & \\textbf{P$> |$z$|$} & \\textbf{[0.025} & \\textbf{0.975]} \\\\\n", "\\midrule\n", "\\textbf{const} & 0.7641 & 0.078 & 9.761 & 0.000 & 0.611 & 0.918 \\\\\n", "\\textbf{x1} & 0.0791 & 0.030 & 2.620 & 0.009 & 0.020 & 0.138 \\\\\n", "\\textbf{sigma2} & 0.3476 & 0.061 & 5.694 & 0.000 & 0.228 & 0.467 \\\\\n", " & \\textbf{coef} & \\textbf{std err} & \\textbf{z} & \\textbf{P$> |$z$|$} & \\textbf{[0.025} & \\textbf{0.975]} \\\\\n", "\\midrule\n", "\\textbf{const} & 1.9728 & 0.278 & 7.086 & 0.000 & 1.427 & 2.518 \\\\\n", "\\textbf{x1} & 0.5280 & 0.086 & 6.155 & 0.000 & 0.360 & 0.696 \\\\\n", "\\textbf{sigma2} & 2.5771 & 0.405 & 6.357 & 0.000 & 1.783 & 3.372 \\\\\n", " & \\textbf{coef} & \\textbf{std err} & \\textbf{z} & \\textbf{P$> |$z$|$} & \\textbf{[0.025} & \\textbf{0.975]} \\\\\n", "\\midrule\n", "\\textbf{p[0-$>$0]} & 0.7531 & 0.063 & 11.871 & 0.000 & 0.629 & 0.877 \\\\\n", "\\textbf{p[1-$>$0]} & 0.6825 & 0.066 & 10.301 & 0.000 & 0.553 & 0.812 \\\\\n", "\\bottomrule\n", "\\end{tabular}\n", "%\\caption{Markov Switching Model Results}\n", "\\end{center}\n", "\n", "Warnings: \\newline\n", " [1] Covariance matrix calculated using numerical (complex-step) differentiation." ], "text/plain": [ "\n", "\"\"\"\n", " Markov Switching Model Results \n", "==============================================================================\n", "Dep. Variable: y No. Observations: 520\n", "Model: MarkovRegression Log Likelihood -745.798\n", "Date: Thu, 27 Aug 2026 AIC 1507.595\n", "Time: 06:56:02 BIC 1541.626\n", "Sample: 05-16-2004 HQIC 1520.926\n", " - 04-27-2014 \n", "Covariance Type: approx \n", " Regime 0 parameters \n", "==============================================================================\n", " coef std err z P>|z| [0.025 0.975]\n", "------------------------------------------------------------------------------\n", "const 0.7641 0.078 9.761 0.000 0.611 0.918\n", "x1 0.0791 0.030 2.620 0.009 0.020 0.138\n", "sigma2 0.3476 0.061 5.694 0.000 0.228 0.467\n", " Regime 1 parameters \n", "==============================================================================\n", " coef std err z P>|z| [0.025 0.975]\n", "------------------------------------------------------------------------------\n", "const 1.9728 0.278 7.086 0.000 1.427 2.518\n", "x1 0.5280 0.086 6.155 0.000 0.360 0.696\n", "sigma2 2.5771 0.405 6.357 0.000 1.783 3.372\n", " Regime transition parameters \n", "==============================================================================\n", " coef std err z P>|z| [0.025 0.975]\n", "------------------------------------------------------------------------------\n", "p[0->0] 0.7531 0.063 11.871 0.000 0.629 0.877\n", "p[1->0] 0.6825 0.066 10.301 0.000 0.553 0.812\n", "==============================================================================\n", "\n", "Warnings:\n", "[1] Covariance matrix calculated using numerical (complex-step) differentiation.\n", "\"\"\"" ] }, "execution_count": 15, "metadata": {}, "output_type": "execute_result" } ], "source": [ "res_areturns.summary()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The first regime is a low-variance regime and the second regime is a high-variance regime. Below we plot the probabilities of being in the low-variance regime. Between 2008 and 2012 there does not appear to be a clear indication of one regime guiding the economy." ] }, { "cell_type": "code", "execution_count": 16, "metadata": { "collapsed": false, "execution": { "iopub.execute_input": "2026-08-27T06:56:02.557300Z", "iopub.status.busy": "2026-08-27T06:56:02.555242Z", "iopub.status.idle": "2026-08-27T06:56:03.019795Z", "shell.execute_reply": "2026-08-27T06:56:03.019068Z" }, "jupyter": { "outputs_hidden": false } }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 16, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "res_areturns.smoothed_marginal_probabilities[0].plot(\n", " title=\"Probability of being in a low-variance regime\", figsize=(12, 3)\n", ")" ] } ], "metadata": { "kernelspec": { "display_name": "Python 3 (ipykernel)", "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": "3.14.7" } }, "nbformat": 4, "nbformat_minor": 4 }