Critical Bellman-Harris branching processes with infinite variance allowing state-dependent immigration

被引：7
|
作者：
Mitov, KV [1 ]
Yanev, NM [1 ]
机构：
[1] Bulgarian Acad Sci, Inst Math & Informat, Dept Probabil & Stat, BU-1113 Sofia, Bulgaria
来源：
STOCHASTIC MODELS | 2002年 / 18卷 / 02期
关键词：
age-dependent branching processes; state-dependent immigration; alternating regenerative processes; infinite mean cycles; limiting distributions;
D O I：
10.1081/STM-120004468
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：
The branching processes with state-dependent immigration are considered as alternating regenerative processes. The main purpose is to demonstrate some new "regenerative" methods. Critical Bellman-Harris branching processes with state-dependent immigration are investigated and new limit theorems are obtained in the case of an infinite offspring variance and possibly infinite mean of the immigrants.
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页码：281 / 300
页数：20
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