ASYMPTOTIC DISTRIBUTIONS AND BERRY-ESSEEN INEQUALITIES FOR LOTKA-NAGAEV ESTIMATOR OF A POISSON RANDOMLY INDEXED BRANCHING PROCESS

被引：0

作者：

Gao, Zhenlong ^{[1
]}

Zhang, Huili ^{[1
]}

机构：

[1] Qufu Normal Univ, Sch Stat, Qufu 273165, Shandong, Peoples R China

来源：

JOURNAL OF MATHEMATICAL INEQUALITIES | 2020年 / 14卷 / 03期

关键词：

Asymptotic distribution; Berry-Esseen's inequality; branching process; Poisson process; LARGE DEVIATION RATES; HARMONIC MOMENTS;

D O I：

10.7153/jmi-2020-14-47

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Consider a Galton-Watson process {Z(n)}, the Lotka-Negaev estimator for offspring mean m is R-n = Z(n+1)/Z(n). Let N-t be a Poisson process independent of {Z(n)}, the continuous time process {Z(Nt)} is a Poisson randomly indexed branching process. We show the asymptotic distributions for {R-t := R-Nt}.

引用

页码：735 / 746

页数：12