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General branching processes conditioned on extinction are still branching processes

Peter Jagers (Institutionen för matematiska vetenskaper, matematisk statistik) ; Andreas Lagerås
Electronic Communications in Probability (1083-589X). Vol. 13 (2008), p. 540-547.
[Artikel, refereegranskad vetenskaplig]

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 child-bearing may occur at different ages, life span may depend upon reproduction, and the whole course of events is thus affected by conditioning upon extinction.

Nyckelord: supercritical, subcritical, multi-type branching process, general branching process, Crump-Mode-Jagers process



Denna post skapades 2008-11-10. Senast ändrad 2014-12-09.
CPL Pubid: 77530

 

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Institutioner (Chalmers)

Institutionen för matematiska vetenskaper, matematisk statistik (2005-2016)

Ämnesområden

Matematisk statistik

Chalmers infrastruktur