双移民两性分支过程的极限性质  

The Limit Properties of the Bisexual Branching Process with Two Kinds of Immigration

作　　者：刘宣[1] 

机构地区：[1]福州大学阳光学院基础部,福建福州350015

出　　处：《长春师范大学学报》2015年第4期5-8,共4页Journal of Changchun Normal University

基　　金：福建省教育厅中青年教育科研项目(JB13262)

摘　　要：考虑同时带个体移民和配对单元移民的两性分支过程,称为双移民两性分支过程。本文首先介绍这种两性分支过程模型,然后讨论过程的状态性质,在一定的条件下得到过程的正常返性,最后研究第n代每个配对单元平均增长率的极限行为并利用马氏链的相关结论给出过程的极限性质。In this paper,we consider a bisexual branching process with individual immigration and unit immigration called two types of immigration. First we introduce this bisexual Galton-Watson branching processes,then discuss the properties of its state space and obtained positive recurrent in some conditions. Finally thelimit behaviour of the mean growth rate per mating unit is studied and the limit properties for the process is investigated by using relevant conclusions of Markovchain.

关 键 词：两性分支过程 移民 马氏链 正常返 

分 类 号：O211[理学—概率论与数理统计]