Econometrica: Jul 2022, Volume 90, Issue 4

Maximum Likelihood Estimation in Markov Regime-Switching Models with Covariate-Dependent Transition Probabilities

https://doi.org/10.3982/ECTA17249
p. 1681-1710

Demian Pouzo, Zacharias Psaradakis, Martin Sola

This paper considers maximum likelihood (ML) estimation in a large class of models with hidden Markov regimes. We investigate consistency of the ML estimator and local asymptotic normality for the models under general conditions, which allow for autoregressive dynamics in the observable process, Markov regime sequences with covariateā€dependent transition matrices, and possible model misspecification. A Monte Carlo study examines the finiteā€sample properties of the ML estimator in correctly specified and misspecified models. An empirical application is also discussed.



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