Bisexual Galton-Watson branching process with population-size-dependent mating-Reference-Cited by-同舟云学术

Bisexual Galton-Watson branching process with population-size-dependent mating

Published:2002-09 Issue:3 Volume:39 Page:479-490
ISSN:0021-9002
Container-title:Journal of Applied Probability
language:en
Short-container-title:Journal of Applied Probability

Author:

Molina M.,Mota M.,Ramos A.

Abstract

In this paper, we introduce a bisexual Galton-Watson branching process with mating function dependent on the population size in each generation. Necessary and sufficient conditions for the process to become extinct with probability 1 are investigated for two possible conditions on the sequence of mating functions. Some results for the probability generating functions associated with the process are also given.

Publisher

Cambridge University Press (CUP)

Subject

Statistics, Probability and Uncertainty,General Mathematics,Statistics and Probability

Reference13 articles.

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4. A note on extinction criteria for bisexual Galton-Watson processes

5. On the L2-convergence of a superadditive bisexual Galton–Watson branching process.;González;J. Appl. Prob.,1997

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