'A Check on the Robustness of Hamilton's Markov Switching Model' - Abstract

A Check on the Robustness of Hamilton's Markov Switching Model Approach to the Economic Analysis of the Business Cycle

Michael D. Boldin
The Conference Board
New York


Pages 35-46

Abstract

This note explores the robustness of Hamilton's ( Econometrica , 1989) two-regime Markov switching model framework for capturing business-cycle patterns. Applying his exact specification to a revised version of real GNP, I find parameter estimates that are similar to those he reported only when I use the same sample period (1952-1984) and a particular set of starting values for the maximum likelihood procedure. Two other local maxima exist that have higher likelihood values, and neither correspond to the conventional recession-expansion dichotomy. In fact, when the sample period is extended, there is no longer a local maximum near the parameter set reported by Hamilton. Exploring the model and data further, I reject cross-regime restrictions of Hamilton specification, but also find that relaxing these restrictions increases the number of local maxima. However, a parsimonious three-regime model for GNP growth is more robust and plausible, especially when each regime is required to last more than one quarter.

Bibliography

  • Albert, J. and S. Chib (1993), "Bayes Inference via Gibbs Sampling of Autoregressive Time Series Subject to Markov Mean and Variance Shifts," Journal of Business and Economics Statistics 11, 1-15.
  • Boldin, M. (1990), "Characterizing Business Cycles with a Markov Switching Model: Evidence of Multiple Equilibria," Federal Reserve Bank of New York Research Paper 9037.
  • Boldin, M. (1992), "Using Switching Models to Study Business Cycle Asymmetries: Overview of Methodology and Applications," Federal Reserve Bank of New York Research Paper 1992-11.
  • Cosslett, S. and L. Lee (1984), "Serial Correlation in Discrete Variable Models," Journal of Econometrics 85, 79-97.
  • Filardo, A. (1994), "Business-Cycle Phases and Their Transitional Dynamics," Journal of Business and Economic Statistics 9, 299-308.
  • Goodwin, T. (1993), "Business-Cycle Analysis with a Markov-Switching Model," Journal of Business and Economic Statistics 9, 331-339.
  • Hamilton, J. (1989), "A New Approach to Economic Analysis of Nonstationary Time Series," Econometrica 57, 357-384.
  • Hamilton, J. (1990), "Analysis of Time Series Subject to Changes in Regime," Journal of Econometrics 45, 39-70.
  • Hamilton, J. (1991), "A Quasi-Bayesian Approach to Estimating Parameters for Mixtures of Normal Distributions," Journal of Business and Economic Statistics 9, 27-40.
  • Hansen, B. (1992), "The Likelihood Ratio Test Under Nonstandard Conditions: Testing the Markov Switching Model," Journal of Applied Econometrics 7, S61-S82.
  • Lam, P.-K. (1990), "The Hamilton Model with a General Autoregressive Component," Journal of Monetary Economics 26, 409-432.