摘要
本文研究随机环境中分支过程直流到n代的物种总体的渐近行为问题.利用概率生成函数的方法,得到了其期望和方差的具体表达式,并且在n趋于无穷大时,给出了灭绝概率和全部物种个数的生成函数之间的关系式.
In this note, we consider the asymptotic properties of the total progeny of branching processes in random environments till the n-th generation by the method of the probability generating function. We obtain the explicit expressions of its expectation and variance. And we also give the relations between the extinction probability and the generating function of the total progeny as n tending to infinity.
出处
《数学杂志》
CSCD
北大核心
2009年第4期459-464,共6页
Journal of Mathematics
基金
supported by the Foundations of Zhengzhou University
关键词
随机环境中分支过程
生成函数
灭绝概率
Branching processes in random environments
generating functions
extinction probability
