| 二叉树上分枝马氏链的强大数定理 |
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| 引用本文： | 党慧,杨卫国,高荣,石志岩. 二叉树上分枝马氏链的强大数定理[J]. 纯粹数学与应用数学, 2013, 0(5): 529-535 |
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| 作者姓名： | 党慧 杨卫国 高荣 石志岩 |
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| 作者单位： | 江苏大学理学院,江苏 镇江,212013;江苏大学理学院,江苏 镇江,212013;江苏大学理学院,江苏 镇江,212013;江苏大学理学院,江苏 镇江,212013 |
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| 基金项目： | 国家自然科学基金（11071104）;江苏大学大学生科研立项（12A409） |
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| 摘 要： | 首先给出了在可列状态空间取值的二叉树上分枝马氏链定义的离散形式，然后建立了二叉树上分枝马氏链的若干强极限定理，最后研究了二叉树上有限状态分枝马氏链的强大数定理．
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| 关 键 词： | 二叉树 分枝马氏链 强极限定理 强大数定理 |
Strong law of large numbers for bifurcating Markov chains indexed by a binary tree |
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| Dang Hui,Yang Weiguo,Gao Rong,Shi Zhiyan. Strong law of large numbers for bifurcating Markov chains indexed by a binary tree[J]. Pure and Applied Mathematics, 2013, 0(5): 529-535 |
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| Authors: | Dang Hui Yang Weiguo Gao Rong Shi Zhiyan |
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| Affiliation: | (Faculty of Science, Jiangsu University, Zhenjiang 212013, China) |
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| Abstract: | In this paper, we first introduce the definition of the discrete form of bifurcating Markov chains indexed by a binary tree, then obtain some strong limit theorems for bifurcating Markov chains indexed by a binary tree, and finally, we obtain the strong law of large numbers for binary tree-indexed bifurcating Markov chains with finite state space. |
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| Keywords: | binary tree bifurcating Markov chains strong limit theorems strong law of large numbers |
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