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.
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页码：1710 / 1716
页数：7
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