First- and second-order expansions in the central limit theorem for a branching random walk

被引：4

作者：

Gao, Zhiqiang ^{[1
]}

Liu, Quansheng ^{[2
,3
]}

机构：

[1] Beijing Normal Univ, Sch Math Sci, Lab Math & Complex Syst, Beijing 100875, Peoples R China

[2] Univ Bretagne Sud, CNRS, LMBA, UMR 6205, Campus Tohannic, F-56000 Vannes, France

[3] Changsha Univ Sci & Technol, Sch Math & Stat, Changsha 410004, Hunan, Peoples R China

来源：

COMPTES RENDUS MATHEMATIQUE | 2016年 / 354卷 / 05期

基金：

中国国家自然科学基金;

关键词：

CONVERGENCE-RATES; TIME;

D O I：

10.1016/j.crma.2016.01.021

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We give the first- and second-order asymptotic expansions for the central limit theorem about the distribution of particles in a branching random walk on the real line. In particular, our first-order expansion reveals the exact convergence rate in the central limit theorem; it extends and improves a known result for the branching Wiener process. (C) 2016 Academie des sciences. Published by Elsevier Masson SAS. All rights reserved.

引用

页码：532 / 537

页数：6

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