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：
中国国家自然科学基金; 高等学校博士学科点专项科研基金;
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
收藏
页码：1437 / 1444
页数：8
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