| Strong Law of Large Numbers and Asymptotic Equipartition Probability for Nonsymmetric Markov Chain Indexed by Cayley Tree |
| Received:October 27, 2008 Revised:January 18, 2010 |
| Key Words:
strong law of large numbers nonsymmetric Markov chain Cayley tree asymptotic equipartition property.
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| Fund Project:Supported by the National Natural Science Foundation of China (Grant No.10571076). |
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| Abstract: |
| In this paper, we study the strong law of large numbers for the frequencies of occurrence of states and ordered couples of states for nonsymmetric Markov chain (NSMC) indexed by Cayley tree with any finite states. The asymptotic equipartition properties with almost everywhere (a.e.) convergence for NSMC indexed by Cayley tree are obtained. This article generalizes a recent result. |
| Citation: |
| DOI:10.3770/j.issn:1000-341X.2010.06.004 |
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