A limit theorem of two-type Galton-Watson branching processes with immigration

被引：6

作者：

Ma, Chunhua ^{[1
,2
]}

机构：

[1] Nankai Univ, Sch Math Sci, Tianjin 300071, Peoples R China

[2] Nankai Univ, LPMC, Tianjin 300071, Peoples R China

来源：

STATISTICS & PROBABILITY LETTERS | 2009年 / 79卷 / 15期

关键词：

D O I：

10.1016/j.spl.2009.04.008

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：

We provide a simple set of sufficient conditions for the weak convergence of two-type Galton-Watson branching processes with immigration to two-dimensional, continuous-time. continuous-state branching processes with immigration, which generalizes the limit result of Li [Li, Z.H., 2006a. A limit theorem of discrete Galton-Watson branching processes with immigration. J. Appl. Probab. 43, 289-295]. (C) 2009 Elsevier B.V. All rights reserved.

引用

页码：1710 / 1716

页数：7

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