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Autocovariance and Linear Transformations of Markov Switching VARMA Processes

Maddalena Cavicchioli ()
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Maddalena Cavicchioli: University of Modena and Reggio Emilia

Central European Journal of Economic Modelling and Econometrics, 2014, vol. 6, issue 4, 275-289

Abstract: We study the autocovariance structure of a general Markov switching second-order stationary VARMA model. Then we give stable finite order VARMA(p*, q*) representations for those M-state Markov switching VARMA(p, q) processes where the observables are uncorrelated with the regime variables. This allows us to obtain sharper bounds for p* and q* with respect to the ones existing in literature. Our results provide new insights into stochastic properties and facilitate statistical inference about the orders of MS-VARMA models and the underlying number of hidden states.

Keywords: time series; multivariate ARMA; state-space models; Markov chains; changes in regime; autocovariance; linear representations (search for similar items in EconPapers)
JEL-codes: C01 C32 (search for similar items in EconPapers)
Date: 2014
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Citations: View citations in EconPapers (1)

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