随机环境中两性分枝过程的次指数不等式  

Subexponential Inequality for a Supercritical Bisexual Branching process in a Random Environment

作　　者：高梦娇 李瑞 邓琳 GAO Meng-jiao;LI Rui;DENG Lin(Changsha University of Science and Technology,Changsha,Hunan 410114)

机构地区：[1]长沙理工大学,湖南长沙410114

出　　处：《怀化学院学报》2023年第5期37-39,共3页Journal of Huaihua University

基　　金：国家自然科学基金面上项目“随机矩阵乘积与随机环境中多型分枝过程”(12271062)。

摘　　要：考虑到自然界中种群繁衍法则,引入雌雄配对机制,从而将随机环境中分枝过程推广到随机环境中两性分枝过程。令{Z_(n),n≥0}为独立同分布环境ξ=(ξ_(n))n≥0中的上临界两性分枝过程,导出了logZ_(n_(0)+n)/Z_(n_(0))的次指数不等式。We consider the law of population reproduction in nature and introduce the male-female pairing mechanism,so as to generalize the branching process in a random environment(BPRE)to the bisexual branching process in a random environment(BBPRE).Set{Z_(n),n≥0}as a supercritical bisexual branching process in an independent and identically distributed(i.i.d.)random environment ξ=(ξ_(n))n≥0,and we will give a subexponential inequality for logZ_(n_(0)+n)/Z_(n_(0)).

关 键 词：两性分枝过程 随机环境 次指数不等式 

分 类 号：O211.6[理学—概率论与数理统计]