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2008 General branching processes conditioned on extinction are still branching processes
Peter Jagers, Andreas Lagerås
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Electron. Commun. Probab. 13: 540-547 (2008). DOI: 10.1214/ECP.v13-1419


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.


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Peter Jagers. Andreas Lagerås. "General branching processes conditioned on extinction are still branching processes." Electron. Commun. Probab. 13 540 - 547, 2008.


Accepted: 19 October 2008; Published: 2008
First available in Project Euclid: 6 June 2016

zbMATH: 1189.60158
MathSciNet: MR2453547
Digital Object Identifier: 10.1214/ECP.v13-1419

Primary: 60J80

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

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