生灭过程的构造与泛函分布  

Construction Theory and Distributions of Functional for Birth and Death Processes

作　　者：王梓坤[1] 

机构地区：[1]北京师范大学,北京100875

出　　处：《保定学院学报》2010年第3期1-4,共4页Journal of Baoding University

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.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.

关 键 词：生灭过程 构造 泛函分布 

分 类 号：O211[理学—概率论与数理统计]