独立同分布随机环境中两性Galton-Watson分支过程灭绝概率的渐近行为(英文)  

The Asymptotic Behaviour of the Extinction Probabibity in Bisexual Galton-Watson Branching Processes with Independent and Identically Distributed Random Environments

作　　者：赵丽华[1,2] 雷恩林[2] 卢准炜[2] 刘桂芬[1] 

机构地区：[1]山西医科大学公共卫生学院,太原030001 [2]太原理工大学数学系,太原030024

出　　处：《应用概率统计》2011年第3期289-296,共8页Chinese Journal of Applied Probability and Statistics

基　　金：supported by the Natural Science Foundation of Shanxi (2009011005-2);the Youth Foundation of Taiyuan University of Technology (900103-03020716)

摘　　要：本文研究了独立同分布随机环境中的两性Galton-Watson分支过程, 在上临界情形下, 当k充分大时,qk ≤ ck-α.In bisexual Galton-Watson branching process with independent and identically distributed random environments,it is shown that under certain conditions there exists 0〈 α 〈＋∞ and 0 〈c〈 ＋∞ such that the extinction probability starting with k individuals is bounded above by ck-α for sufficiently large k.

关 键 词：随机环境中两性Galton-Watson分支过程 灭绝概率 

分 类 号：O211.65[理学—概率论与数理统计]