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A Limit Theorem for Discrete Galton-Watson Branching Processes with Immigration

Part of: Markov processes

Published online by Cambridge University Press:  14 July 2016

Zenghu Li
Zenghu Li*
Affiliation:
Beijing Normal University
*
∗ Postal address: School of Mathematical Sciences, Beijing Normal University, Beijing, 100875, P. R. China. Email address: lizh@bnu.edu.cn
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Abstract

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We provide a simple set of sufficient conditions for the weak convergence of discrete-time, discrete-state Galton-Watson branching processes with immigration to continuous-time, continuous-state branching processes with immigration.

Keywords

Markov chainbranching process with immigrationlimit theoremweak convergencegenerating function

MSC classification

Primary: 60J80: Branching processes (Galton-Watson, birth-and-death, etc.)

Information

Type
Short Communications
Information
Journal of Applied Probability , Volume 43 , Issue 1 , March 2006 , pp. 289 - 295
Copyright
© Applied Probability Trust 2006 

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