CHINESE JOURNAL OF APPLIED PROBABILITY AND STATIST 2015, 31(4) 367-374 DOI:      ISSN: 1001-4268 CN: 31-1256

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The Periods of States for Markov Chains in a Random Environment

Fei Shilong, Bai Yaoqian

School of Mathematics and Statistics, Suzhou University; School of Mathematical Sciences, Beijing Normal University

Abstract��

The periods of states for Markov chains in a random environment
are introduced and some properties about periods are investigated. An open problem
(Orey, 1991; Problem 1.3.3) is studied under the assumption that states have periods.

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