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Some new limit theorems for the critical branching process allowing immigration

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.
Year of publication:
1976
Authors: Pakes, A. G.
Published in:
Stochastic Processes and their Applications. - Elsevier, ISSN 0304-4149. - Vol. 4.1976, 2, p. 175-185
Publisher: Elsevier
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Type of publication: Article
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Persistent link: https://www.econbiz.de/10008874002
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