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December, 1973 The Multitype Galton-Watson Process with Immigration
Norman Kaplan
Ann. Probab. 1(6): 947-953 (December, 1973). DOI: 10.1214/aop/1176996802

Abstract

A multitype branching process with immigration is considered. A necessary and sufficient condition is found for when the process has a limiting stationary distribution. As a corollary to this result we are able to give necessary and sufficient conditions for when the extinction time for an ordinary multitype process has finite expectation.

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Norman Kaplan. "The Multitype Galton-Watson Process with Immigration." Ann. Probab. 1 (6) 947 - 953, December, 1973. https://doi.org/10.1214/aop/1176996802

Information

Published: December, 1973
First available in Project Euclid: 19 April 2007

zbMATH: 0292.60135
MathSciNet: MR353472
Digital Object Identifier: 10.1214/aop/1176996802

Keywords: 60 , immigration , J80 , Multitype branching processes

Rights: Copyright © 1973 Institute of Mathematical Statistics

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Vol.1 • No. 6 • December, 1973
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