| The Classificat,on of States for Markov Chain in Random Environments and m-irreducible |
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| 引用本文： | WANG Weigang HU Dihe. The Classificat,on of States for Markov Chain in Random Environments and m-irreducible[J]. 武汉大学学报:自然科学英文版, 2007, 12(3): 402-406. DOI: 10.1007/S11859-006-0068-3 |
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| 作者姓名： | WANG Weigang HU Dihe |
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| 作者单位： | [1]School of Mathematics and Statistics, Wuhan University,Wuhan 430072, Hubei, China; [2]School of Mathematics and Statistics, Yunnan University,Kunming 650091, Yunnan, China |
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| 基金项目： | Supported by the National Natural Science Foundation of China （ 10371092） and the Foundation of Wuhan University |
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| 摘 要： | ![]()
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| 关 键 词： | 随机环境 马尔可夫链 m-不可约分 分类 |
| 文章编号： | 1007-1202（2007）02-04C2-05 |
| 收稿时间： | 2005-06-08 |
| 修稿时间： | 2006-06-15 |
The classification of states for Markov chain in random environments and m-irreducible |
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| Wang Weigang,Hu Dihe. The classification of states for Markov chain in random environments and m-irreducible[J]. Wuhan University Journal of Natural Sciences, 2007, 12(3): 402-406. DOI: 10.1007/S11859-006-0068-3 |
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| Authors: | Wang Weigang Hu Dihe |
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| Affiliation: | (1) School of Mathematics and Statistics, Wuhan University, Wuhan, 430072, Hubei, China;(2) School of Mathematics and Statistics, Yunnan University, Kunming, 650091, Yunnan, China |
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| Abstract: | ![]()
First of all, we introduces the concept of m-irreducible of Markov chain in random environment. Then under the condition of m-irreducible, the relationship of recurrent and positive recurrent between two states is studied. We also give several conditions that can imply a state is recurrent and positive recurrent. And then the period of a state is discussed and we obtained that under the condition of m-irreducible, for any two states in x, they have the same period. |
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| Keywords: | Markov chain in random environment m-irreducible recurrent stat transient state positive recurrent |
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