A class of controlled bisexual branching processes with mating depending on the number of progenitor couples

We introduce a class of bisexual branching processes where a control is achieved on the number of couples and the mating depends on the number of progenitor couples. We establish several probabilistic properties and some results about its extinction probability.

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Bibliographic Details
Published in:Statistics & probability letters 2007-12, Vol.77 (18), p.1737-1743
Main Authors: Molina, Manuel, del Puerto, Inés M., Ramos, Alfonso
Format: Article
Language:English
Subjects:
Bisexual processes
Branching processes
Branching processes Bisexual processes Controlled processes
Controlled processes
Exact sciences and technology
General topics
Markov processes
Mathematics
Probability and statistics
Probability theory and stochastic processes
Sciences and techniques of general use
Statistics
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Description
Summary:We introduce a class of bisexual branching processes where a control is achieved on the number of couples and the mating depends on the number of progenitor couples. We establish several probabilistic properties and some results about its extinction probability.
ISSN:0167-7152
1879-2103
DOI:10.1016/j.spl.2007.04.013