Multitype population size-dependent branching processes with dependent offspring

In this paper, the multitype population size-dependent branching process with dependent offspring is introduced and the probability of extinction of such a process is investigated. Sufficient conditions for both almost sure extinction and survival of the process are shown to depend on the Perron-Frobenius eigenvalue of adequate limit matrices. Finally, theoretical results are illustrated with an example.

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Year of publication:	2004
Authors:	González, Miguel ; Martínez, Rodrigo ; Mota, Manuel
Published in:	Statistics & Probability Letters. - Elsevier, ISSN 0167-7152. - Vol. 70.2004, 2, p. 145-154
Publisher:	Elsevier
Keywords:	Multitype population size-dependent branching process Dependent offspring

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Type of publication:	Article
Source:	RePEc - Research Papers in Economics

Persistent link: https://www.econbiz.de/10005319608