| 随机环境中马氏链的状态研究 |
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| 引用本文： | 崔静.随机环境中马氏链的状态研究[J].四川轻化工学院学报,2011(5):596-598. |
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| 作者姓名： | 崔静 |
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| 作者单位： | 安徽师范大学数学与计算机科学学院,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（KJ2011z147） |
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| 摘 要： | 利用马氏链的一般理论讨论了随机环境中马氏链的性质和状态分类。借助于随机环境中马氏链的特征数,首先讨论了状态本质与正则本质的关系,给出了正则本质态的一个充分条件,在此基础上研究了弱常返态与正则本质态的关系及本质态与非正则本质态的关系,而后在状态空间有限及联合空间不可分解的条件下对状态空间进行了分解。最后举出一个实例说明了文章结论的正确性。
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| 关 键 词： | 随机环境中马氏链 正则本质 弱常返 不可分解 |
Study on States for Markov Chains in Ramdom Environments |
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| CUI Jing.Study on States for Markov Chains in Ramdom Environments[J].Journal of Sichuan Institute of Light Industry and Chemical Technology,2011(5):596-598. |
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| Authors: | CUI Jing |
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| Affiliation: | CUI Jing(College of Mathematics and Computer Science,Anhui Normal University,Wuhu 241000,China) |
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| Abstract: | On the basic theory of Markov Chains,the properties and classification of states of Markov chains in random environments are discussed.First,the relationship between the essential states and properly essential states,and a sufficient condition of properly essential states are presented,based on this fact,the relationship between weak recurrence states and properly essential states is given.Finally,when the combined space is indecomposable,the state space is decomposed. |
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| Keywords: | Markov chains in ramdom environments properly essential weakly recurrence indecomposable |
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