Branching processes in a random environment with immigration stopped at zero

被引：15
|
作者：
Dyakonova, Elena [1 ]
Li, Doudou [2 ,3 ]
Vatutin, Vladimir [1 ,3 ]
Zhang, Mei [2 ,3 ]
机构：
[1] Steklov Math Inst, 8 Gubkin St, Moscow 119991, Russia
[2] Beijing Normal Univ, Sch Math Sci, Beijing 100875, Peoples R China
[3] Beijing Normal Univ, Lab Math & Complex Syst, Beijing 100875, Peoples R China
来源：
JOURNAL OF APPLIED PROBABILITY | 2020年 / 57卷 / 01期
基金：
俄罗斯科学基金会;
关键词：
Branching process; random environment; immigration; life period; CONDITIONAL LIMIT-THEOREM; RANDOM-WALK; DISTRIBUTIONS;
D O I：
10.1017/jpr.2019.94
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：
A critical branching process with immigration which evolves in a random environment is considered. Assuming that immigration is not allowed when there are no individuals in the population, we investigate the tail distribution of the so-called life period of the process, i.e. the length of the time interval between the moment when the process is initiated by a positive number of particles and the moment when there are no individuals in the population for the first time.
引用
收藏
页码：237 / 249
页数：13
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