| 状态可数的马氏环境中马氏链函数的强大数定律 |
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| 引用本文： | 李应求. 状态可数的马氏环境中马氏链函数的强大数定律[J]. 数学杂志, 2003, 23(4): 484-490 |
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| 作者姓名： | 李应求 |
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| 作者单位： | 长沙电力学院应用数学研究所,长沙,410077;武汉大学数学与统计学院,武汉,430072 |
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| 基金项目： | 湖南省中青年科技基金项目(批准号:00JJY2121). |
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| 摘 要： | 讨论了马氏双链与随机环境中马氏链的关系．在此基础上，研究了具有离散参量的马氏环境中马氏链函数的强大数定律，并且给出了直接加于链和过程样本函数上的充分条件．
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| 关 键 词： | 随机环境中马氏链 马氏环境 马氏双链 强大数律 |
| 文章编号： | 0255-7797(2003)04-0484-07 |
ON THE STRONG LAW OF LARGE NUMBERS FORFUNCTION OF MARKOV CHAINS IN MARKOVIAN ENVIRONMENTS |
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| Li Ying-qiu. ON THE STRONG LAW OF LARGE NUMBERS FORFUNCTION OF MARKOV CHAINS IN MARKOVIAN ENVIRONMENTS[J]. Journal of Mathematics, 2003, 23(4): 484-490 |
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| Authors: | Li Ying-qiu |
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| Abstract: | Some relationships between Markov chains in random environments and jointly Markov chains are discussed.On this base,a strong law of large numbers for function of Markov chains in Markovian environments with discrete parameter is discussed,and some sufficient conditions on the jointly Markov chains and sample function of the jointly Markov chains are given. |
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| Keywords: | Markov chains in random environments markovian environments jointly Markov chains strong law of large numbers |
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