Limit theorems for normalized nearly critical branching processes with immigration

被引：0

作者：

Ispany, Marton ^{[1
]}

机构：

[1] Univ Debrecen, Fac Informat, H-4010 Debrecen, Hungary

来源：

PUBLICATIONES MATHEMATICAE-DEBRECEN | 2008年 / 72卷 / 1-2期

关键词：

nearly critical Galton-Watson branching process with immigration; functional limit theorem; diffusion process;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Functional limit theorems are proved for a sequence of Galton-Watson processes with immigration, where the offspring mean tends to its critical value 1 under weak conditions for the variances of offspring and immigration processes. In the limit theorems the norming factors depend on these variances.

引用

页码：17 / 34

页数：18

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