湖北文理学院学报2025，Vol.46Issue(2)：5-10,6.
随机环境中加权分枝过程的Cramér型一致中偏差
Uniform Cramér Moderate Deviations for Weighted Branching Process in a Random Environment
摘要
Abstract
Let(Yn)be a weighted branching process under an independent identically distributed random environment ξ.In this paper,we use the existence of the harmonic moment and the non-degeneracy and convergence of Wn to prove the uniform Cramér moderate deviations for log(Yn+n0/Yn0).Wn=Yn/EξYn is a non-negative martingale.This result extends branching process in a random environment to weighted case.关键词
随机环境/加权分枝过程/Cramér型中偏差Key words
random environment/weighted branching process/Cramér moderate deviations分类
数学引用本文复制引用
周超文,杨海龙,张鑫..随机环境中加权分枝过程的Cramér型一致中偏差[J].湖北文理学院学报,2025,46(2):5-10,6.基金项目
国家自然科学基金面上项目(12271062) （12271062）
