| 随机环境中马氏链的周期性和常返性 |
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| 引用本文： | 崔静,马莉.随机环境中马氏链的周期性和常返性[J].数学研究,2009,42(1). |
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| 作者姓名： | 崔静 马莉 |
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| 作者单位： | 安徽师范大学数学计算机科学学院,安徽,芜湖,241000 |
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| 基金项目： | 安徽省教育厅自然科学基金，安徽师大青年基金 |
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| 摘 要： | 研究了随机环境中马氏链的周期性,引入了随机环境中马氏链的正常返和零常返,利用状态的周期讨论了随机环境中马氏链的正常返性,给出了状态正常返的若干充分条件,从而推广了经典马氏链的相应结论.
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| 关 键 词： | 随机环境中的马氏链 周期 强常返 正常返 可达 |
The Period and Recurrence for Markov Chains in Random Environments |
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| Cui Jing,Ma Li.The Period and Recurrence for Markov Chains in Random Environments[J].Journal of Mathematical Study,2009,42(1). |
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| Authors: | Cui Jing Ma Li |
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| Institution: | Cui Jing MaLi (Department of Computer and Mathematics; Anhui Normal University; Wuhu Anhui 241000); |
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| Abstract: | In this paper,we study the period of states in random environments,then the positive recurrence of states are discusses.Some sufficient conditions for positive recurrence states in random environments are provided which extend the corresponding theory in classical Markov chains. |
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| Keywords: | Markov chains in random environments period strong recurrence positive recurrence lead |
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