随机环境中加权分枝过程的概率不等式  

Probability Inequalities for Weighted Branching Processes in Random Environments

作　　者：彭聪 杨海龙 李瑞 

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4043-4048,共6页Advances in Applied Mathematics

摘　　要：令{ Yn,n≥0 }表示独立同分布随机环境ξ=(ξn)n≥0中的加权分枝过程,本文针对统计量log(Yn0+nYn0),借助Markov不等式建立了一个相关概率不等式,这一结果可以用于探索种群动态和概率特性,有助于深入理解随机环境中加权分枝模型的本质。Let { Yn,n≥0 }denote the weighted branching process in independently and identically distributed random environments ξ=(ξn)n≥0. In this paper, focusing on a statistic log(Yn0+nYn0), we establish a related probability inequality using Markov’s inequality. This result can be used to investigate population dynamics and probabilistic characteristics, contributing to a deeper understanding of the essence of weighted branching models in random environments.

关 键 词：加权分枝过程 随机环境 概率不等式 

分 类 号：O17[理学—数学]