General branching processes conditioned on extinction are still branching processes
Artikel i vetenskaplig tidskrift, 2008

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.

subcritical

Crump-Mode-Jagers process

supercritical

general branching process

multi-type branching process

Författare

Peter Jagers

Göteborgs universitet

Chalmers, Matematiska vetenskaper, matematisk statistik

Andreas Lagerås

Electronic Communications in Probability

1083-589X (ISSN)

Vol. 13 540-547

Ämneskategorier

Sannolikhetsteori och statistik

Mer information

Skapat

2017-10-08