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General branching processes conditioned on extinction are still branching processes
Stockholm University, Faculty of Science, Department of Mathematics. Matematisk statistik.
2008 (English)In: Electronic Communications in Probability, ISSN 1083-589X, Vol. 13, 540-547 p.Article in journal (Refereed) Published
Abstract [en]

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.
Keyword [en]
Supercritical, Subcritical, Extinction, Multi-type branching process, General branching process, Crump-Mode-Jagers process
Identifiers
URN: urn:nbn:se:su:diva-14732ISI: 000260452700001OAI: oai:DiVA.org:su-14732DiVA: diva2:181252
Available from: 2008-10-29 Created: 2008-10-29 Last updated: 2011-01-10Bibliographically approved

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CiteExportLink to record
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