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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Bibliographische Detailangaben
Veröffentlicht in:	Statistics & probability letters 2007-12, Vol.77 (18), p.1737-1743
Hauptverfasser:	Molina, Manuel, del Puerto, Inés M., Ramos, Alfonso
Format:	Artikel
Sprache:	eng
Schlagworte:	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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Beschreibung
Zusammenfassung:	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