随机环境中具有随机控制函数两性分枝过程的极限性质(英文)  

Limiting Behavior of the Bisexual Galton-Watson Branching Process with Random Control Functions in Random Environments

作　　者：宋明珠[1] 吴永锋[1] 

机构地区：[1]铜陵学院数学与计算机学院,安徽铜陵241000

出　　处：《应用数学》2015年第1期33-40,共8页Mathematica Applicata

基　　金：Supported by the Natural Science Foundation of Anhui Province(kj2013Z331);the Humanities and Social Sciences Foundation for the Youth Scholars of Ministry of Education of China(12YJCZH217);the Natural Science Foundation of Anhui Province(1308085MA03)

摘　　要：本文建立随机环境中具有随机控制函数的两性分枝过程,得到该模型概率母函数之间的关系式.当控制函数上可加时,证明配对单元平均增长率的极限是存在的,同时得到配对单元平均增长率一系列的极限性质,进而推进了前人的研究.In this paper, the authors introduce a bisexual Galton-Watson branching process with random control functions in random environments（BGWPFER）, some relations among the probabili- ty generating functions （PGF） with the process are obtained. When BGWPFER and random control functions are superadditive,the existence of the limit of mean growth rate per mating unit is proved, and limit theorems of mean growth rate per mating unit are established.

关 键 词：两性分枝过程 随机环境 随机控制函数 配对单元平均增长率 

分 类 号：O211.65[理学—概率论与数理统计]