The strong law of large numbers and the Shannon-McMillan theorem for the mth-order nonhomogeneous Markov chains indexed by an m rooted Cayley tree |
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| Authors: | Zhiyan Shi Weiguo Yang |
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| Affiliation: | 1. Faculty of Science, Jiangsu University, Zhenjiang, Chinashizhiyan1984@126.com;3. Faculty of Science, Jiangsu University, Zhenjiang, China |
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| Abstract: | ABSTRACTIn this article, we studied the strong law of large numbers(LLN) and Shannon-McMillan theorem for an mth-order nonhomogeneous Markov chain indexed by an m- rooted Cayley tree. This article generalized the relative results of level mth-order nonhomogeneous Markov chains indexed by an m- rooted Cayley tree. |
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| Keywords: | m- rooted Cayley tree mth-order Nonhomogeneous Markov chain Strong law of large numbers Shannon-McMillan theorem |
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