Multitype branching limit behavior
type: Item
instance of: scholarly article
title: Multitype branching limit behavior
zbMATH Open document ID: 1030.60079
author: Harry Cohn
author: Qiao Wang
published in: The Annals of Applied Probability
publication date: 2003-11-17T00:00:00Z
review text: The authors define a multitype (\(p\)-type) branching process in a varying environment. In the varying environment settings, the natural object of the study appears to be linear combinations of the type sizes of successive generations. A certain sequence of such linear combination possesses some convergence properties. This sequence turns out to be instrumental in deriving a condition for continuity of the limiting distribution function. For related papers see: \textit{J. D. Biggins}, \textit{H. Cohn} and \textit{O. Nerman} [Stochastic Processes Appl. 83, 357-400 (1999; Zbl 0997.60093)]; \textit{T. Hattori} [J. Math. Sci., Tokyo 4, 229-278 (1997; Zbl 0895.60085)] and \textit{O. D. Jones} [Ann. Appl. Probab. 7, 772-801 (1997; Zbl 0885.60077)].
reviewed by: Gheorghe Oprişan
Mathematics Subject Classification ID: 60J80
Mathematics Subject Classification ID: 60G42
zbMATH DE Number: 2005164
zbMATH Keywords: martingale
zbMATH Keywords: varying environment
zbMATH Keywords: multitype
zbMATH Keywords: concentration function
zbMATH Keywords: space-time harmonic function
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1214/aoap/1050689590
OpenAlex ID: W2092453162
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DOI: 10.1214/AOAP/1050689590
description: scientific article; zbMATH DE number 2005164