This paper examines the relative performance of some popular nonlinearity tests when applied to time series generated by Markov switching autoregressive models. The nonlinearity tests considered include RESET-type tests, the Keenan test, the Tsay test, the McLeod—Li test, the BDS test, the...

This paper investigates some finite-sample issues that arise in the analysis of Markovswitching autoregressive models with time-varying probabilities. An extensive simulation study is undertaken to examine the small-sample properties of the maximum likelihood estimator and related statistics,...