Extremes of geometric variables with applications to branching processes

2003/12/31 by Kosto V. Mitov, Anthony G. Pakes, George P. Yanev
Mathematics · #math.PR #msc:60J80 #msc:60G70

paper · pdf · doi:10.1016/j.spl.2003.10.002

published as Statistics & Probability Letters 65 (2003), 4:379-388 · 12 pages, some proofs are added to the published version

arxiv created 2003/12/31 · arxiv updated 2009/12/01

Abstract

We obtain limit theorems for the row extrema of a triangular array of zero-modified geometric random variables. Some of this is used to obtain limit theorems for the maximum family size within a generation of a simple branching process with varying geometric offspring laws.

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