Multi-type branching in varying environment

This paper considers the asymptotic theory of the varying environment Galton-Watson process with a countable set of types. This paper examines the convergence in Lp and almost surely of the numbers of the various types when normalised by the corresponding expected number. The harmonic functions of the mean matrices play a central role in the analysis. Many previously studied models provide particular cases.

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Year of publication:	1999
Authors:	Biggins, J. D. ; Cohn, H. ; Nerman, O.
Published in:	Stochastic Processes and their Applications. - Elsevier, ISSN 0304-4149. - Vol. 83.1999, 2, p. 357-400
Publisher:	Elsevier
Keywords:	Harmonic function Matrix products Martingale Inhomogeneous Markov chains Lp convergence

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

Persistent link: https://www.econbiz.de/10008874743