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Estimation in autoregressive models with Markov regime

Ricardo Ríos, Luis Rodríguez

math.STarXiv:math/0505081

Abstract

In this paper we derive the consistency of the penalized likelihood method for the number state of the hidden Markov chain in autoregressive models with Markov regimen. Using a SAEM type algorithm to estimate the models parameters. We test the null hypothesis of hidden Markov Model against an autoregressive process with Markov regime.

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