A Class of Strong Deviation Theorems for the Random Fields Associated with Nonhomogeneous Markov Chains Indexed by a Bethe Tree |
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| Authors: | Weiguo Yang |
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| Affiliation: | 1. Faculty of Science , Jiangsu University , Zhenjiang , P. R. China wgyang@ujs.edu.cn |
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| Abstract: | In this article, we establish a class of strong deviation theorems for the random fields which are associated with nonhomogeneous Markov chains indexed by a Bethe tree. As corollaries, we obtain the strong law of large numbers and asymptotic equipartition property for nonhomogeneous Markov chains indexed by such tree. |
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| Keywords: | Asymptotic equipartition property Bethe tree Nonhomogeneous Markov chains Strong deviation theorem |
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