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.
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页码：17 / 34
页数：18
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