Asymptotic behaviour of critical controlled branching processes with random control functions

被引：14

作者：

González, M ^{[1
]}

Molina, M ^{[1
]}

Del Puerto, I ^{[1
]}

机构：

[1] Univ Extremadura, Fac Ciencias, Dept Matemat, E-06071 Badajoz, Spain

来源：

JOURNAL OF APPLIED PROBABILITY | 2005年 / 42卷 / 02期

关键词：

branching process; controlled process; extinction probability; limiting behaviour;

D O I：

10.1239/jap/1118777182

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：

In this paper, we investigate the asymptotic behaviour of controlled branching processes with random control functions. In a critical case, we establish sufficient conditions for both their almost-sure extinction and for their nonextinction with a positive probability. For some suitably chosen norming constants, we also determine different kinds of limiting behaviour for this class of processes.

引用

页码：463 / 477

页数：15

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