Limit theorems for the critical Galton-Watson processes with migration

被引：0

作者：

Badalbaev, IS ^{[1
]}

Yakubov, TD ^{[1
]}

机构：

[1] AN UZBEKISTAN,INST MATH,AKADEMGORODOK,TASHKENT 700143,UZBEKISTAN

来源：

THEORY OF PROBABILITY AND ITS APPLICATIONS | 1996年 / 40卷 / 04期

关键词：

Galton-Watson branching process; migration; stationary measure; generating function; regularly varying function; Tauberian theorem;

D O I：

10.1137/1140071

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 Galton-Watson branching process with migration is considered. It is assumed that the variance of the number of offspring produced by a single particle is infinite and the mean size of migration is equal to zero. Limit theorems for the number of particles in the process under consideration are obtained.

引用

页码：599 / 612

页数：14

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