CHINESE JOURNAL OF APPLIED PROBABILITY AND STATIST 2012, 28(6) 665-672 DOI:      ISSN: 1001-4268 CN: 31-1256

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The Properties and Applications of Invariable Function for Markov Chains in Random Environments

Li Mingliang,Liu Zaiming

School of Mathematics and Statistics, Central South University, Department of Mathematics, Hunan First Normal University

Abstract��

In this paper, various concepts of
recurrence and transience are introduced into the research field
of Markov chains in random environments, and the concepts and
properties of invariant function for Markov chains in random
environments are investigated. By using those properties, we obtain
a criterion for the state to be recurrent or transient.

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