关于随机环境分枝过程混合重组的一个注记  

A Note on the Survival of Branching Processes in Random Environments

作　　者：赵丽华[1] 雷恩灵[1] 

机构地区：[1]太原理工大学理学院,山西太原030024

出　　处：《太原理工大学学报》2005年第4期508-510,共3页Journal of Taiyuan University of Technology

摘　　要：给定一个繁衍概率母函数均值待定的两状态独立同分布随机环境分枝过程,证明了若该随机环境分枝过程是下临界的,则通过适当选择其繁衍概率母函数均值的取值后,它的两个独立复制过程总能够混合重组为一个上临界随机环境分枝过程;但反之,若该随机环境分枝过程是上临界的,则它的两个独立复制过程不一定总能够混合重组为一个下临界随机环境分枝过程。In this paper two types of independent identical distribution branching processes in random environments whose probability generating function derivative are uncertain are given. When this branching processes in random environments is subcritical, it is a certainty that its two copying processes can be migrated a supercritical branching processes in random environments through giving an acute probability generating function derivative. However, its two supercritical copying processes can not always be migrated a subcritical branching processes in random environments.

关 键 词：随机环境分枝过程 上临界 下临界 复制过程 混合重组 

分 类 号：O211.2[理学—概率论与数理统计]