Survival Probability of Population-size-dependent Branching Processes in Random Environments  

作　　者：Shi-xia MA Xiao-yu XING 

机构地区：[1]School of Sciences, Hebei University of Technology

出　　处：《Acta Mathematicae Applicatae Sinica》2016年第2期477-484,共8页应用数学学报（英文版）

基　　金：Supported by the National Natural Science Foundation of China(No.11301133 and 11471218);the Natural Science Foundation of Hebei province(No.A2014202236 and A2014202052)

摘　　要：The class of population-size-dependent branching processes in independent identically distributed random environments is investigated. Under the critical case and appropriate moment assumption, we establish an asymptotic estimate of the survival probability at generation n.The class of population-size-dependent branching processes in independent identically distributed random environments is investigated. Under the critical case and appropriate moment assumption, we establish an asymptotic estimate of the survival probability at generation n.

关 键 词：branching processes population-size-dependent processes random environments survival proba-bility 

分 类 号：O211.65[理学—概率论与数理统计]