Scandinavian Working Papers in Economics

Working Papers,
Lund University, Department of Economics

No 2005:25: Transition Variables in the Markov-switching Model: Some Small Sample Properties

Ulf Erlandsson
Additional contact information
Ulf Erlandsson: Department of Economics, Lund University, Postal: Department of Economics, School of Economics and Management, Lund University, Box 7082, S-220 07 Lund, Sweden

Abstract: This paper researches small-sample properties of the Markov-switching model with time-varying transition probabilities. By means of simulation, it is shown that the likelihood ratio statistic is over-sized for sample sizes relevant in many empirical applications. The number of regime switches occurring in the sample rather than the total number of observations is central to the magnitude of the distortion, with other factors such a persistence in transition equation variables and the precision at which states are inferred being influential on size. In an application to possible predictors of switches to recessions in U.S. data, it is shown that critical values for the likelihood ratio statistic need to be adjusted far upwards to reflect true confidence levels.

Keywords: regime switching; transition probability; small-sample

JEL-codes: C13; C32; E32

16 pages, March 21, 2005

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