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.

引用

页码：281 / 300

页数：20

共 50 条

[1] BELLMAN-HARRIS BRANCHING-PROCESSES WITH STATE-DEPENDENT IMMIGRATION
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[J]. JOURNAL OF APPLIED PROBABILITY, 1985, 22 (04) : 757 - 765
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