| 变化环境中Markov链状态分类的性质 |
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| 引用本文： | 黄振生.变化环境中Markov链状态分类的性质[J].华东师范大学学报(自然科学版),2008,2008(3):45-50. |
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| 作者姓名： | 黄振生 |
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| 作者单位： | 华东师范大学,统计与精算学系,上海200062 |
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| 摘 要： | 引入了绕积马氏链的特征数和状态的定义,研究了特征数L(x,0;F),和G(x,0;F)的概率性质,以此为基础,讨论了强常返和强暂留态在可达和一致可达条件下的运动的传递性，以及弱常返态的特性,从而推广了经典马氏链的相关结果.
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| 关 键 词： | 绕积马氏链 强常返 强暂留 弱常返 绕积马氏链 强常返 强暂留 弱常返 |
| 收稿时间： | 2007-09-24 |
Some properties of the classifed states for Markov chains in a random environment |
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| HUANG Zhen-sheng.Some properties of the classifed states for Markov chains in a random environment[J].Journal of East China Normal University(Natural Science),2008,2008(3):45-50. |
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| Authors: | HUANG Zhen-sheng |
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| Institution: | Department of Statistics and Actuarial science, East China Normal University, Shanghai 200062, China |
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| Abstract: | Some basic concepts on the states, such as strongly recurrent state, weakly recurrent state, and strongly transient state, were proposed, and the corresponding Character number L(x,0;F) and G(x,0;F) were studied. On the base of this, Criteria for the states to be accesible and uniformly accesible were given. The results generalized the corresponding results in classical Markov chains. |
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