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THE ASYMPTOTIC EQUIPARTITION PROPERTY FOR ASYMPTOTIC CIRCULAR MARKOV CHAINS

Published online by Cambridge University Press:  18 March 2010

Pingping Zhong ,
Weiguo Yang  and
Peipei Liang
Pingping Zhong
Affiliation:
Faculty of Science, Jiangsu University, Zhenjiang, 212013, China E-mail: wgyang@ujs.edu.cn
Weiguo Yang
Affiliation:
Faculty of Science, Jiangsu University, Zhenjiang, 212013, China E-mail: wgyang@ujs.edu.cn
Peipei Liang
Affiliation:
Faculty of Science, Jiangsu University, Zhenjiang, 212013, China E-mail: wgyang@ujs.edu.cn
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Abstract

In this article, we study the asymptotic equipartition property (AEP) for asymptotic circular Markov chains. First, the definition of an asymptotic circular Markov chain is introduced. Then by applying the limit property for the bivariate functions of nonhomogeneous Markov chains, the strong limit theorem on the frequencies of occurrence of states for asymptotic circular Markov chains is established. Next, the strong law of large numbers on the frequencies of occurrence of states for asymptotic circular Markov chains is obtained. Finally, we prove the AEP for asymptotic circular Markov chains.

Type
Research Article
Information
Probability in the Engineering and Informational Sciences , Volume 24 , Issue 2 , April 2010 , pp. 279 - 288
Copyright
Copyright © Cambridge University Press 2010

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