| Cayley树上非对称马氏链的强大数定律及渐近均分割性 |
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| 引用本文： | 董燕,杨卫国. Cayley树上非对称马氏链的强大数定律及渐近均分割性[J]. 数学研究及应用, 2010, 30(6): 976-984. DOI: 10.3770/j.issn:1000-341X.2010.06.004 |
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| 作者姓名： | 董燕 杨卫国 |
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| 作者单位： | 上海交通大学数学系, 上海 200240;江苏大学理学院, 江苏 镇江 212013 |
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| 基金项目： | 国家自然科学基金(Grant No.10571076). |
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| 摘 要： | 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.
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| 关 键 词： | strong law of large numbers nonsymmetric Markov chain Cayley tree asymptotic equipartition property. |
| 收稿时间： | 2008-10-27 |
| 修稿时间： | 2010-01-18 |
Strong Law of Large Numbers and Asymptotic Equipartition Probability for Nonsymmetric Markov Chain Indexed by Cayley Tree |
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| Yan DONG and Wei Guo YANG. Strong Law of Large Numbers and Asymptotic Equipartition Probability for Nonsymmetric Markov Chain Indexed by Cayley Tree[J]. Journal of Mathematical Research with Applications, 2010, 30(6): 976-984. DOI: 10.3770/j.issn:1000-341X.2010.06.004 |
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| Authors: | Yan DONG and Wei Guo YANG |
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| Affiliation: | 1. Department of Mathematics, Shanghai Jiaotong University, Shanghai 200240, P. R. China
2. Faculty of Science, Jiangsu University, Jiangsu 212013, P. R. China |
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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. |
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| Keywords: | strong law of large numbers nonsymmetric Markov chain Cayley tree asymptotic equipartition property. |
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