Multi-type branching in varying environment

J. D. Biggins, H. Cohn and O. Nerman

Stochastic Processes and their Applications, 1999, vol. 83, issue 2, 357-400

Abstract: 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.

Keywords: Harmonic; function; Matrix; products; Martingale; Inhomogeneous; Markov; chains; Lp; convergence (search for similar items in EconPapers)
Date: 1999
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Citations: View citations in EconPapers (3)

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