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Markov switching model

📈 Economics By CampusDown Wiki Editorial Team Last updated
A Markov switching model lets parameters change across unobserved regimes that follow a Markov chain. Hamilton (1989) popularized it for business cycles.
Contents
  1. 1. Overview
  2. 2. Uses
  3. 3. Frequently asked questions
  4. 4. References

Overview

Parameters such as mean and variance depend on a hidden regime.

📌 At a glance
Key
Transition matrix
Output
Regime probabilities

Uses

Recession probabilities that track NBER dates, interest-rate regimes (Ang & Bekaert 2002), volatility states.

The data, not the researcher, date the recessions. Each period gets a probability of being in recession.

Frequently asked questions

Software?
statsmodels MarkovRegression/MarkovAutoregression; R MSwM.

References

  1. Hamilton, J. D. (1989). A new approach to the economic analysis of nonstationary time series and the business cycle. Econometrica, 57(2), 357–384.
  2. Kim, C.-J., & Nelson, C. R. (1999). State-Space Models with Regime Switching. MIT Press.
  3. Hamilton, J. D. (1994). Time Series Analysis. Princeton University Press.
  4. Ang, A., & Bekaert, G. (2002). Regime switches in interest rates. Journal of Business & Economic Statistics, 20(2), 163–182.

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This article was last updated on October 23, 2026. It is based on widely recognized original works and textbooks; when citing it in a paper, please check the original sources listed in the references.