Limit behaviour for a supercritical bisexual Galton-Watson branching process with population-size-dependent mating
A supercritical bisexual Galton-Watson branching process with population-size-dependent mating is considered and some necessary and sufficient conditions for the almost sure and L1-convergence of the suitably normalized process are given. Similar results for the underlying sequences of females and males are provided.
Year of publication: |
2004
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Authors: | Molina, M. ; Mota, M. ; Ramos, A. |
Published in: |
Stochastic Processes and their Applications. - Elsevier, ISSN 0304-4149. - Vol. 112.2004, 2, p. 309-317
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Publisher: |
Elsevier |
Keywords: | Bisexual Galton-Watson branching process Population-size-dependent Galton-Watson process Martingales Almost sure convergence L1-convergence |
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