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On Prolific Individuals in a Supercritical Continuous-State Branching Process

Part of: Markov processes Distribution theory - Probability

Published online by Cambridge University Press:  14 July 2016

Jean Bertoin ,
Joaquin Fontbona  and
Servet Martínez
Jean Bertoin*
Affiliation:
Université Paris 6 and École Normale Supérieure
Joaquin Fontbona*
Affiliation:
Universidad de Chile
Servet Martínez*
Affiliation:
Universidad de Chile
*
∗Postal address: Laboratoire de Probabilités et Modèles Aléatoires, Université Paris 6, 175 rue de Chevaleret, F-75013 Paris, France. Email address: [email protected]
∗∗Postal address: CMM-DIM, Universidad de Chile, Casilla 170-3, Correo 3, Santiago, Chile.
∗∗Postal address: CMM-DIM, Universidad de Chile, Casilla 170-3, Correo 3, Santiago, Chile.
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Abstract

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We describe the genealogy of individuals with infinite descent in a supercritical continuous-state branching process.

Keywords

Continuous-state branching processbranching mechanismextinctionreduced tree

MSC classification

Secondary: 60J80: Branching processes (Galton-Watson, birth-and-death, etc.) 60E10: Characteristic functions; other transforms
Type
Research Article
Information
Journal of Applied Probability , Volume 45 , Issue 3 , September 2008 , pp. 714 - 726
Copyright
Copyright © Applied Probability Trust 2008 

References

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