A class of small deviation theorems for Markov chains in bi-infinite random environment

Chengjun Ding, Cong Liu, Qingpei Zang and Yannan Niu

Communications in Statistics - Theory and Methods, 2023, vol. 52, issue 3, 693-701

Abstract: In this article, we mainly study a class of small deviation theorems for Markov chains in bi-infinite random environment. First, we give the definition of Markov chains in bi-infinite random environment. Then, we give some lemmas which are the basis of the main results. Finally, a class of small deviation theorems for Markov chains in bi-infinite random environment is established.

Date: 2023
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Persistent link: https://EconPapers.repec.org/RePEc:taf:lstaxx:v:52:y:2023:i:3:p:693-701

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DOI: 10.1080/03610926.2021.1921212

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