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.

MoreLess

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

More details

Type of publication:	Article
Source:	RePEc - Research Papers in Economics

Persistent link: https://www.econbiz.de/10008874002