布朗生灭过程  

Brown Birth and Death Processes

作　　者：袁里驰 刘再明[1] 李俊平[1] 侯振挺[1] 

机构地区：[1]中南大学铁道校区科研所,湖南长沙410075

出　　处：《长沙铁道学院学报》2001年第1期68-73,共6页Journal of Changsha Railway University

基　　金：国家自然科学基金项目 !(195 710 13)

摘　　要：文献[1 ] 提到了布朗生灭过程的概念 ,本文明确地给出了一类布朗生灭过程的定义 ,讨论了其一维分布 ,积分型泛函的分布和矩 ,得到了次之递推计算公式 .此外 ,本文还得到了判断这类布朗生灭过程正则性的充要条件 .对于一类特殊的布朗生灭过程 。Reference[1] has mentioned the concept of Brown birth and death processes. This paper Obviously gives the definition of a class of Brown birth and death processes, and deals with one dimensional distribution, distribution and moment of integral function, and obtains the recursive computational formula. This paper also obtains the necessary and sufficient conditions for the calss of Brown birth and death processes to be regular. To a specific class of Brown birth and death processes, this paper gives the direct computational formula for one dimensional distribution.

关 键 词：马尔可夫骨架过程 布朗生灭过程 一维分布 积分型泛函 正则性准则 

分 类 号：O211.62[理学—概率论与数理统计]