The Multitype Galton-Watson Process with Immigration

Norman Kaplan

doi:10.1214/aop/1176996802

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Home > Journals > Ann. Probab. > Volume 1 > Issue 6 > Article

December, 1973 The Multitype Galton-Watson Process with Immigration

Norman Kaplan

Ann. Probab. 1(6): 947-953 (December, 1973). DOI: 10.1214/aop/1176996802

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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