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| 引用本文： | ����,�����. ��������֦��������ǿ�������ɺ�Shannon-McMillan����[J]. 应用概率统计, 2017, 33(4): 408-416. DOI: 10.3969/j.issn.1001-4268.2017.04.006 |
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| 作者姓名： | ���� ����� |
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| 作者单位： | ?????????? |
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| 摘 要： |
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| 关 键 词： | ?????? ??????????? ????????? Shannon-McMillan???? |
The Strong Law of Large Numbers and the#br#Shannon-McMillan Theorem for Nonhomogeneous#br#Bifurcating Markov Chains Indexed by a Binary Tree |
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| ZHANG Yan,YANG WeiGuo. The Strong Law of Large Numbers and the#br#Shannon-McMillan Theorem for Nonhomogeneous#br#Bifurcating Markov Chains Indexed by a Binary Tree[J]. Chinese Journal of Applied Probability and Statisties, 2017, 33(4): 408-416. DOI: 10.3969/j.issn.1001-4268.2017.04.006 |
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| Authors: | ZHANG Yan YANG WeiGuo |
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| Affiliation: | Faculty of Science, Jiangsu University |
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| Abstract: | In this paper, we first study the strong law of largenumbers for the frequencies of occurrence of random ordered couples of statesfor nonhomogeneous bifurcating Markov chains indexed by a binary tree. Thenthe strong law of large numbers are studied for functions of the nonhomogeneousbifurcating Markov chains indexed by a binary tree. As a corollary, we obtainthe shannon-McMillan theorem for these Markov chains with finite state space. |
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| Keywords: | two rooted tree nonhomogeneous bifurcating Markov chains strong law of large numbers Shannon-McMillan theorem |
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