期刊论文

Non-uniform Berry-Esseen inequalities for a supercritical branching process in a random environment

中文

湖南文理学院学报(自然科学版)

1672-6146

2024

36

1

1-6

10.3969/j.issn.1672-6146.2024.01.001

国家自然科学基金面上项目(12271062)。

本校为第一机构

设{Zn,n≥0}为独立同分布随机环境ξ=(ξn)下的分枝过程。在Cramér条件及与其等价的Bernstein条件下,利用Wn的非退化性,对于一致的n0

Letlog(Zn+n_(0)/Zn_(0))be a branching process under an independent identically distributed random environmentξ=(ξn).In this paper,we use the non-degeneracy of Wn to prove the non-uniform Berry-Esseen inequality for log(Zn+n_(0...MORE Letlog(Zn+n_(0)/Zn_(0))be a branching process under an independent identically distributed random environmentξ=(ξn).In this paper,we use the non-degeneracy of Wn to prove the non-uniform Berry-Esseen inequality for log(Zn+n_(0)/Zn_(0))with exponential decay rate for a uniform n0∈N under the Cramér condition a...