par Bruss, F Thomas
Référence Journal of Applied Probability, 15, 1, page (54-64)
Publication Publié, 1978-03
Article révisé par les pairs
Résumé : 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.