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 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 examines the properties of tests for the presence of an autoregressive unit root in time series that are subject to multiple level shifts. The latter are assumed to be governed by a time-homogeneous finite Markov chain, thus allowing for an arbitrary number of stochastic breaks. It is...