随机环境中乘积受控分枝过程矩的存在性  

Existence of Moments of Multiplicative Controlled Branching Processes in a Random Environment

作　　者：陈祁欢 张鑫 

机构地区：[1]长沙理工大学数学与统计学院,湖南 长沙

出　　处：《应用数学进展》2024年第8期4049-4054,共6页Advances in Applied Mathematics

摘　　要：在深入研究经典分枝过程的基础上,进行模型的扩展与创新,进而推出随机环境中乘积受控分枝过程模型,探讨了序列log Wn的矩的存在性,且给出了相关证明,其中Wn=Zn/Pn,Pn为规范化序列,Zn为随机环境中乘积受控分枝过程。Based on the research of classical branching processes, the model is extended and innovated, leading to a multiplicative controlled branching process in a random environment. Moreover, we explore the existence of moments of the sequence log Wn, and relevant proofs are given, where Wn=Zn/Pn, Pnis the normalized sequence, Znis the multiplicative controlled branching process in a random environment.

关 键 词：随机环境 乘积受控分枝过程 矩 

分 类 号：O17[理学—数学]