Weak VARMA representations of regime-switching state-space models

Maddalena Cavicchioli ()
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Maddalena Cavicchioli: Department of Economics “Marco Biagi”

Statistical Papers, 2016, vol. 57, issue 3, No 8, 705-720

Abstract: Abstract We consider state-space representation of a multivariate dynamic process with Markov switching in both measurement and transition equations. Under appropriate moment conditions, we show that the autocovariance structure of such a process coincides with that of a stable VARMA model. This is potentially useful for statistical applications and for model selection as, for example, the identification of the regime number. Applications for classical Markov switching models and some numerical illustrations complete the paper.

Keywords: Time series; State-space models; Markov chains; Regime-switching models; Regime number; 60J10; 62M05 (search for similar items in EconPapers)
Date: 2016
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Citations: View citations in EconPapers (7)

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DOI: 10.1007/s00362-015-0675-1

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