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| The Classification of States for Markov Chain in Random Environments and m-irreducible | |
| 引用本文： | WANG Weigang1,HU Dihe1,2 1. School of Mathematics and Statistics,Wuhan University,Wuhan 430072,Hubei,China, 2. School of Mathematics and Statistics,Yunnan University,Kunming 650091,Yunnan,China. The Classification 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, 0(3) |
| 作者姓名： | WANG Weigang1 HU Dihe1 2 1. School of Mathematics and Statistics Wuhan University Wuhan 430072 Hubei China 2. School of Mathematics and Statistics Yunnan University Kunming 650091 Yunnan China |
| 作者单位： | WANG Weigang1，HU Dihe1，2 1. School of Mathematics and Statistics，Wuhan University，Wuhan 430072，Hubei，China; 2. School of Mathematics and Statistics，Yunnan University，Kunming 650091，Yunnan，China |
| 基金项目： | Supported by the National Natural Science Foundation of China (10371092)，the Foundation of Wuhan University |
| 摘 要： | 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. |
The Classification of States for Markov Chain in Random Environments and m-irreducible |
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| WANG Weigang,HU Dihe, . School of Mathematics and Statistics,Wuhan University,Wuhan ,Hubei,China, . School of Mathematics and Statistics,Yunnan University,Kunming ,Yunnan,China. The Classification of States for Markov Chain in Random Environments and m-irreducible[J]. Wuhan University Journal of Natural Sciences, 2007, 0(3) | |
| Authors: | WANG Weigang HU Dihe . School of Mathematics Statistics Wuhan University Wuhan Hubei China . School of Mathematics Statistics Yunnan University Kunming Yunnan China |
| Affiliation: | WANG Weigang1,HU Dihe1,2 1. School of Mathematics and Statistics,Wuhan University,Wuhan 430072,Hubei,China, 2. School of Mathematics and Statistics,Yunnan University,Kunming 650091,Yunnan,China |
| 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. |
| Keywords: | Markov chain in random environment m-irreducible recurrent stat transient state positive recurrent |
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