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| 一类非齐次树上的非齐次马尔可夫链的若干强极限定理 | |
| 引用本文： | 金少华,霍艳,孙曙光,张会鹏.一类非齐次树上的非齐次马尔可夫链的若干强极限定理[J].数学的实践与认识,2011,41(2). |
| 作者姓名： | 金少华 霍艳 孙曙光 张会鹏 |
| 作者单位： | 1. 河北工业大学,理学院,天津,300130 2. 石家庄工商职业学院,基础部,石家庄,050091 3. 河北工业大学电气与自动化学院,天津,300130 4. 军事交通学院,基础部,天津,300161 |
| 基金项目： | 河北省教育厅科学研究计划项目(Z2008308) |
| 摘 要： | 极限定理一直是国际概率论界研究的中心课题之一.通过构造适当的辅助非负鞅而给出了一类特殊非齐次树上可列状态的非齐次马尔可夫链场的若干强极限定理. |
| 关 键 词： | 树模型 马尔可夫链 鞅 强极限定理 |
Some Strong Limit Theorems for Non-Homogeneous Markov Chains on a Kind of Non-Homogeneous Tree |
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| JIN Shao-hua,HUO Yan,SUN Shu-guang,ZHANG Hui-peng.Some Strong Limit Theorems for Non-Homogeneous Markov Chains on a Kind of Non-Homogeneous Tree[J].Mathematics in Practice and Theory,2011,41(2). | |
| Authors: | JIN Shao-hua HUO Yan SUN Shu-guang ZHANG Hui-peng |
| Institution: | JIN Shao-hua~1,HUO Yan~2,SUN Shu-guang~3,ZHANG Hui-peng~4 (1.School of Science,Hebei University of Technology,Tianjin 300130,China) (2.Department of Basic Theories Shijiazhuang Vocational College of Industry and Commerce,Shijiazhuang 050091,China) (3.School of Electric and Automation,China) (4.Department of Basic Theories,Institute of Military Traffic,Tianjin 300161,China) |
| Abstract: | The limit theorems is one of the central questions for studying in the International Probability theory.In this paper,some strong limit theorems for non-homogeneous Markov chains with countable states on a kind of special non-homogeneous tree were obtained by constructing a non-negative martingale. |
| Keywords: | tree model markov chains martingale strong limit theorem |
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