Limit Behavior of a Critical Branching Process with Immigration

被引：1

作者：

Butkovsky, O. A. ^{[1
]}

机构：

[1] Moscow MV Lomonosov State Univ, Moscow, Russia

来源：

MATHEMATICAL NOTES | 2012年 / 92卷 / 5-6期

关键词：

branching process with immigration; Cox process; Laplace transform; AGE;

D O I：

10.1134/S000143461211003X

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

A generalization of the Sevast'yanov branching process with immigration which is a Cox process is studied. The generating function of the number of particles of the process is obtained. For critical processes, the limit behavior of the number of particles at infinity is established. DOI: 10.1134/S000143461211003X

引用

页码：612 / 618

页数：7

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