CHINESE JOURNAL OF APPLIED PROBABILITY AND STATIST 2013, 29(4) 337-347 DOI:      ISSN: 1001-4268 CN: 31-1256

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The Central Limit Theorem for Nonhomogeneous Markov Chains

Huang Huilin, Yang Weiguo, Shi Zhiyan

College of Mathematics and Information Science, Wenzhou University; Faculty of Science, Jiangsu University

Abstract��

In this paper, we prove a new central
limit theorem for nonhomogeneous Markov chain by using the
martingale central limit theorem under the condition of convergence
of transition probability matrices for nonhomogeneous Markov chain
in Cesaro sense, which can not be implied by Dobrushin's work.

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Corresponding Authors: Huang Huilin
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