人口数相依的两性分支过程的极限性质  

On the Limit Behaviour of the Population-Size-Dependent Bisexual Branching Processes

作　　者：马世霞[1] 王永进[2] 

机构地区：[1]河北工业大学应用数学系,天津300401 [2]南开大学数学学院,天津300071

出　　处：《应用概率统计》2007年第4期352-360,共9页Chinese Journal of Applied Probability and Statistics

基　　金：Supported by the Natural Science Foundation of China(Grant No.10131040).

摘　　要：本文研究了后代分布依赖于人口数的两性Galton-Watson分支过程,在对后代分布的适当假设下,对于上临界的情况,我们研究了有关过程的几乎处处收敛的极限性质.In this paper, a bisexual Galton-Watson branching process with the law of offspring distribution dependent on the population size is investigated. Under a suitable assumption on the offspring distribution, for the supercritical case, the limit behaviours on almost sure convergence of the process are established.

关 键 词：两性的Galton-Watson分支过程 人口数相依的分支过程 几乎处处收敛 

分 类 号：O211.65[理学—概率论与数理统计]