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 Electronic Communications in Probability > Vol. 13 (2008) > Paper 51 open journal systems 


General branching processes conditioned on extinction are still branching processes

Peter Jagers, Chalmers University of Technology and University of Gothenburg
Andreas Nordvall Lagerås, Department of Mathematics, Stockholm University


Abstract
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.


Full text: PDF

Pages: 540-547

Published on: October 19, 2008
Bibliography
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Electronic Communications in Probability. ISSN: 1083-589X