Extremes of geometric variables with applications to branching processes

Mathematics – Probability

Scientific paper

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12 pages, some proofs are added to the published version

Scientific paper

10.1016/j.spl.2003.10.002

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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