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Branching processes with random absorbing processes

Published online by Cambridge University Press:  14 July 2016

F. Thomas Bruss*
Affiliation:
University of Cambridge

Abstract

A discrete Galton–Watson process is modified by an absorbing process, which, within each generation, eliminates a subset of the living particles without leaving offspring. The absorbing process will be only roughly specified by its expected efficiency on the associated process. We give a sharp sufficient condition for the joint process to be extinguished with probability one and give, after an easy generalization, an example for possible biomedical applications.

Type
Research Papers
Copyright
Copyright © Applied Probability Trust 1978 

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