| 树上路径过程的随机路径条件概率的极限性质 |
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| 引用本文： | 石志岩,杨卫国,王蓓.树上路径过程的随机路径条件概率的极限性质[J].数学杂志,2012,32(3):499-505. |
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| 作者姓名： | 石志岩 杨卫国 王蓓 |
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| 作者单位： | 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，江苏大学高级人才启动基金 |
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| 摘 要： | 本文研究了树上路径过程的极限性质.利用构造鞅的方法得到了树上路径过程的条件概率调和平均的极限性质.所得结果推广了树上非齐次马氏链随机转移概率和任意随机变量序列随机条件概率的调和平均极限性质.
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| 关 键 词： | 路径过程 非齐次马氏链 随机路径条件概率 调和平均 |
SOME LIMIT PROPERTIES OF RANDOM PATH CONDITIONAL PROBABILITY FOR PATH PROCESS INDEXED BY A TREE |
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| SHI Zhi-yan
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YANG Wei-guo
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WANG Bei.SOME LIMIT PROPERTIES OF RANDOM PATH CONDITIONAL PROBABILITY FOR PATH PROCESS INDEXED BY A TREE[J].Journal of Mathematics,2012,32(3):499-505. |
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| Authors: | SHI Zhi-yan YANG Wei-guo WANG Bei |
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| Institution: | (Faculty of Science,Jiangsu University,Zhenjiang 212013,China) |
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| Abstract: | In this paper,we study the limit property of path process indexed by a tree.By constructing a nonnegative martingale,we get a limit property of the harmonic mean of random path conditional probability for path process indexed by a tree,which is an extension of the limit property of harmonic mean for random transition probability of a nonhomogeneous Markov chain indexed by a tree and random conditional probability of a sequence of random variables. |
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| Keywords: | Path process nonhomogeneous Markov chains random path conditional probability harmonic mean |
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