| 生灭过程的构造与泛函分布 |
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| 引用本文： | 王梓坤. 生灭过程的构造与泛函分布[J]. 保定师专学报, 2010, 0(3): 1-4 |
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| 作者姓名： | 王梓坤 |
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| 作者单位： | 北京师范大学,北京100875 |
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| 摘 要： | 综述生灭过程中的构造以及此类过程的积分型泛函的分布.当过程中断时,构造出全部过程,证明全体生灭过程与全体特征数列间存在一一对应.研究依赖于过程的轨道的积分型泛函,给出这种泛函分布的Laplace变换的递推关系,特别,对停留时求出其分布函数的表达式.
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| 关 键 词： | 生灭过程 构造 泛函分布 |
Construction Theory and Distributions of Functional for Birth and Death Processes |
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| Wang Zikun. Construction Theory and Distributions of Functional for Birth and Death Processes[J]. Journal of Baoding Teachers College, 2010, 0(3): 1-4 |
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| Authors: | Wang Zikun |
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| Affiliation: | Wang Zikun (Beijing Normal University,Beijing 100875,China) |
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| Abstract: | Firstly,this is a survey of construction theory and the distributions of functional for birth and death processes.We construct all birth and death processes,it shows that there is a 1-1 correspondence between all birth and death and all characteristic sequences.Secondly,we study the integral functional of the sample functions;the recurrent relations between the Laplace transforms of these distributions are obtained,especially,we find the explicit formulas of the distribution density. |
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| Keywords: | birth and death processes construction distribution of function |
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