| 马氏环境中马氏链的中心极限定理 |
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| 引用本文： | 郭明乐.马氏环境中马氏链的中心极限定理[J].应用概率统计,2007,23(1):11-17. |
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| 作者姓名： | 郭明乐 |
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| 作者单位： | 安徽师范大学数学计算机科学学院,芜湖,241000 |
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| 基金项目： | 安徽省高校青年教师科研项目 |
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| 摘 要： | 讨论了具有离散参数的马氏环境中马氏链的中心极限定理, 并给出了加在链和过程样本函数上的充分条件\bd 同时深入研究了$R_{\theta}$\,-链, 得到马氏环境中马氏链的中心极限定理成立的三个充分条件.
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| 关 键 词： | 随机环境 马氏环境中马氏链 中心极限定理. |
| 收稿时间： | 2003-11-12 |
| 修稿时间： | 2005-09-27 |
The Central Limit Theorem for Markov Chains in Markovian Environments |
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| GUO MINGLE.The Central Limit Theorem for Markov Chains in Markovian Environments[J].Chinese Journal of Applied Probability and Statisties,2007,23(1):11-17. |
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| Authors: | GUO MINGLE |
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| Institution: | College of Mathematics and Computer Science, Anhui Normal University, Wuhu, 241000 |
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| Abstract: | In this paper, a central limit theorem for function of countable Markov chains in Markovian environments is investigated. Moreover, some sufficient conditions on the jointly Markov chains and sample function of the jointly Markov chains are given. At last, $R_{\theta}$-chains are systematically studied, some sufficient contionsfor the central limit theorem to hold for function of Markov chains in Markovian environments are obtained. |
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