The strong laws of large numbers for countable non homogeneous hidden Markov models

Guoqing Yang, Weiguo Yang and Xiaotai Wu

Communications in Statistics - Theory and Methods, 2017, vol. 46, issue 17, 8808-8819

Abstract: In this article, we are going to study the strong laws of large numbers for countable non homogeneous hidden Markov models. First, we introduce the notion of countable non homogeneous hidden Markov models. Then, we obtain some properties for those Markov models. Finally, we establish two strong laws of large numbers for countable non homogeneous hidden Markov models. As corollaries, we obtain some known results of strong laws of large numbers for finite non homogeneous Markov chains.

Date: 2017
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DOI: 10.1080/03610926.2016.1193203

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