General branching processes conditioned on extinction are still branching processes
2008 (English)In: Electronic Communications in Probability, ISSN 1083-589X, Vol. 13, 540-547 p.Article in journal (Refereed) Published
It is well known that a simple, supercritical Bienaymé-Galton-Watson process turns into a subcritical such process, if conditioned to die out. We prove that the corresponding holds true for general, multi-type branching, where childbearing may occur at different ages, life span may depend upon reproduction, and the whole course of events is thus affected by conditioning upon extinction.
Place, publisher, year, edition, pages
2008. Vol. 13, 540-547 p.
Supercritical, Subcritical, Extinction, Multi-type branching process, General branching process, Crump-Mode-Jagers process
IdentifiersURN: urn:nbn:se:su:diva-14732ISI: 000260452700001OAI: oai:DiVA.org:su-14732DiVA: diva2:181252