| 随机环境中马氏链的状态分类 |
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| 引用本文： | 孔生林,吴文忠. 随机环境中马氏链的状态分类[J]. 安徽师范大学学报(自然科学版), 2005, 28(2): 135-138 |
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| 作者姓名： | 孔生林 吴文忠 |
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| 作者单位： | 芜湖职业技术学院基础部,安徽,芜湖,241000;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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| 摘 要： | 利用Foguel的L1理论和马氏双链是时齐马氏链这一性质,讨论了随机环境中马氏链的状态分类,得到非本质或非正则本质态的等价命题以及弱常返和强常返态的充分条件.
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| 关 键 词： | 随机环境 马氏链 弱常返 非本质 非正则本质 |
| 文章编号： | 1001-2443(2005)02-0135-04 |
| 修稿时间： | 2004-10-19 |
THE CLASSIFICATION OF STATES FOR MARKOV CHAINS IN RANDOM ENVIRONMENTS |
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| KONG Sheng-lin,WU Wen-zhong. THE CLASSIFICATION OF STATES FOR MARKOV CHAINS IN RANDOM ENVIRONMENTS[J]. Journal of Anhui Normal University(Natural Science Edition), 2005, 28(2): 135-138 |
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| Authors: | KONG Sheng-lin WU Wen-zhong |
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| Abstract: | Using Foguel's L_1 theory and the property that Markov double chain is time homogeneous Markov chain, we discuss The classification of states for Markov chains in random environments. Meanwhile, equivalent propositions of inessential or improperly essential state and a sufficient condition of weakly or strongly recurrence for a state are obtained. |
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| Keywords: | random environments Markov chains weakly recurrence strongly recurrence inessential improperly essential |
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