一类带移民两性分支过程的非零极限行为  

Non-zero limit behaviour for certain bisexual Galton-Watson branching processes with immigration

作　　者：刘宣[1] 

机构地区：[1]福州大学阳光学院,福建福州350015

出　　处：《福州大学学报（自然科学版）》2013年第6期972-974,1001,共4页Journal of Fuzhou University(Natural Science Edition)

摘　　要：讨论一类带移民两性分支过程的非零极限性质.首先简单介绍这种两性分支过程模型,得出该过程是不可约和遍历的,最后利用马氏链、鞅论、两性分支过程的相关结论考查了该过程的非零极限行为.We discuss non - zero limit behaviour for a bisexual Gahon - Watson branching processes with immigration （BGWBI）. First we introduce simply this bisexual Galton -Watson branching proces- ses, then obtain that the BGWBI is irreducible and aperiodic, finally by using relevant conclusions of Markovchain, martingale theory and branching process, non - zero limit behabiour for the BGWBI is investigated.

关 键 词：两性分支过程 不可约 平均增长率 配对函数 

分 类 号：O211.65[理学—概率论与数理统计]