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On the L2-convergence of a superadditive bisexual Galton-Watson branching process

Published online by Cambridge University Press:  14 July 2016

M. González*
Affiliation:
Universidad de Extremadura
M. Molina*
Affiliation:
Universidad de Extremadura
*
Postal address: Departamento de Matemáticas, Facultad de Ciencias, Universidad de Extremadura, 06071-Badajoz, Spain.
Postal address: Departamento de Matemáticas, Facultad de Ciencias, Universidad de Extremadura, 06071-Badajoz, Spain.

Abstract

In this paper the L2-convergence of a superadditive bisexual Galton–Watson branching process is studied. Necessary and sufficient conditions for the convergence of the suitably normed process are given. In the final section, a result about one of the most important bisexual models is proved.

Type
Research Papers
Copyright
Copyright © Applied Probability Trust 1997 

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References

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