Multitype population size-dependent branching processes with dependent offspring

Miguel González, Rodrigo Martínez and Manuel Mota

Statistics & Probability Letters, 2004, vol. 70, issue 2, 145-154

Abstract: 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.

Keywords: Multitype; population; size-dependent; branching; process; Dependent; offspring (search for similar items in EconPapers)
Date: 2004
References: View complete reference list from CitEc
Citations:

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0167-7152(04)00234-2
Full text for ScienceDirect subscribers only

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:stapro:v:70:y:2004:i:2:p:145-154

Ordering information: This journal article can be ordered from
http://www.elsevier.com/wps/find/supportfaq.cws_home/regional
https://shop.elsevie ... _01_ooc_1&version=01

Access Statistics for this article

Statistics & Probability Letters is currently edited by Somnath Datta and Hira L. Koul

More articles in Statistics & Probability Letters from Elsevier
Bibliographic data for series maintained by Catherine Liu ().