Some new limit theorems for the critical branching process allowing immigration

A. G. Pakes

Stochastic Processes and their Applications, 1976, vol. 4, issue 2, 175-185

Abstract: Some limit theorems are obtained for the population size of a critical Bienaymé-Galton-Watson process allowing immigration and where the variance of the offspring distribution is infinite. An application is given to a limit theorem for the situation where the immigration does not occur but the population size is conditioned on non-extinction until the remote future. This complements a well-known result of Slack.

Date: 1976
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