Weighted moments for a supercritical branching process in a varying or random environment

被引：6

作者：

Li YingQiu ^{[1
,2
]}

Hu YangLi ^{[1
,2
]}

Liu QuanSheng ^{[1
,3
]}

机构：

[1] Changsha Univ Sci & Technol, Coll Math & Comp Sci, Changsha 410004, Hunan, Peoples R China

[2] Hunan Normal Univ, Coll Math & Comp Sci, Changsha 410081, Hunan, Peoples R China

[3] Univ Bretgne Sud, LMAM, F-56017 Vannes, France

来源：

SCIENCE CHINA-MATHEMATICS | 2011年 / 54卷 / 07期

基金：

高等学校博士学科点专项科研基金; 中国国家自然科学基金;

关键词：

branching process; varying environment; random environment; moment; martingale;

D O I：

10.1007/s11425-011-4220-y

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let W be the limit of the normalized population size of a supercritical branching process in a varying or random environment. By an elementary method, we find sufficient conditions under which W has finite weighted moments of the form EW (p) l(W), where p > 1, l >= 0 is a concave or slowly varying function.

引用

页码：1437 / 1444

页数：8

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