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