随机环境中受控分枝过程的稳定性(英文)  

STABILITY OF CONTROLLED BRANCHING CHAINS IN RANDOM ENVIRONMENT

作　　者：王伟刚[1] 胡迪鹤[2] 

机构地区：[1]浙江工商大学统计与数学学院,浙江杭州310018 [2]武汉大学数学与统计学院,湖北武汉430072

出　　处：《数学杂志》2009年第3期237-241,共5页Journal of Mathematics

基　　金：Supported by the National Natural Science Fundation of China(10371092);the Foundation of Wuhan University

摘　　要：本文研究了控制函数独立同分布,并且第n代的繁殖情况取决于环境的随机环境中分枝过程.给出了该模型稳定的充分条件,当环境平稳遍历时,得到了过程几乎处处灭绝的充分条件.We consider controlled branching chains in random environments, that the controlled functions are i. i. d. random variables and the reproduction of an individual in the n-th season depends on the environments. Some results on process stability are shown. The extinction probabilities are given when environments are stationary and ergodic.

关 键 词：随机环境中控制分枝过程 稳定性 灭绝概率 

分 类 号：O211.62[理学—概率论与数理统计]