LIMIT THEOREMS FOR DECOMPOSABLE BRANCHING PROCESSES IN A RANDOM ENVIRONMENT

被引：0

作者：

Vatutin, Vladimir ^{[1
]}

Liu, Quansheng ^{[2
]}

机构：

[1] Steklov Math Inst, Moscow 119991, Russia

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

来源：

JOURNAL OF APPLIED PROBABILITY | 2015年 / 52卷 / 03期

基金：

中国国家自然科学基金; 俄罗斯基础研究基金会;

关键词：

Decomposable branching processes; survival probability; random environment;

D O I：

暂无

中图分类号：

O21 [概率论与数理统计]; C8 [统计学];

学科分类号：

020208 ; 070103 ; 0714 ;

摘要：

We study the asymptotics of the survival probability for the critical and decomposable branching processes in a random environment and prove Yaglom-type limit theorems for these processes. It is shown that such processes possess some properties having no analogues for the decomposable branching processes in a constant environment.

引用

页码：877 / 893

页数：17

共 9 条

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