CHINESE JOURNAL OF APPLIED PROBABILITY AND STATIST 2007, 23(1) 11-17 DOI:      ISSN: 1001-4268 CN: 31-1256

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The Central Limit Theorem for Markov Chains in Markovian Environments

Guo Mingle

College of Mathematics and Computer Science, Anhui Normal University

Abstract��

In this paper, a central limit theorem for function of countable Markov chains in
Markovian environments is investigated. Moreover, some sufficient conditions on
the jointly Markov chains and sample function of the jointly Markov chains are given.
At last, $R_{\theta}$-chains are systematically studied, some sufficient contions
for the central limit theorem to hold for function of Markov chains in Markovian
environments are obtained.

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Received 1900-01-01 Revised 1900-01-01 Online:
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