General branching processes conditioned on extinction are still branching processes
Journal article, 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

Author

Peter Jagers

University of Gothenburg

Chalmers, Mathematical Sciences, Mathematical Statistics

Andreas Lagerås

Electronic Communications in Probability

1083-589X (ISSN)

Vol. 13 540-547

Subject Categories

Probability Theory and Statistics

More information

Created

10/8/2017