| 齐次树上三次循环树指标马氏链的强极限定理 |
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| 引用本文： | 潘恒,杨卫国.齐次树上三次循环树指标马氏链的强极限定理[J].系统科学与数学,2010,30(5):710-720. |
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| 作者姓名： | 潘恒 杨卫国 |
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| 作者单位： | 江苏大学理学院,镇江,212013 |
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| 摘 要： | 首先给出齐次树上三次循环树指标马氏链的定义,利用构造鞅的方法,研究齐次树上三次循环树指标马氏链的强极限定理,并给出其状态及状态序偶发生频率的强大数定律.
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| 关 键 词： | 三次循环树 状态与状态序偶 强极限定理 强大数定律 |
| 收稿时间： | 2009-3-14 |
STRONG LIMIT THEOREMS FOR A THREE TIMES CIRCULATION MARKOV CHAIN INDEXED BY A HOMOGENEOUS TREE |
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| PAN Heng,YANG Weiguo.STRONG LIMIT THEOREMS FOR A THREE TIMES CIRCULATION MARKOV CHAIN INDEXED BY A HOMOGENEOUS TREE[J].Journal of Systems Science and Mathematical Sciences,2010,30(5):710-720. |
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| Authors: | PAN Heng YANG Weiguo |
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| Institution: | Faculty of science, Jiangsu University, Zhenjiang 212013 |
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| Abstract: | In this paper, the definition of a three times circulation Markov chain indexed by a homogeneous tree is introduced. Then strong limit theorems for a three times circulation Markon chain indexed by a homogeneous tree are given by using the method of construction martingle, and also the strong laws of large numbers for the frequencies of occurrence of states and ordered couple of states for this Markov chain are proven. |
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| Keywords: | Three times circulation Markov chain states and ordered couples of states strong limit theorems strong laws of large numbers |
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