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arxiv: math/0312510 · v1 · submitted 2003-12-31 · 🧮 math.PR

Extremes of geometric variables with applications to branching processes

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keywords geometricbranchinglimitobtaintheoremsvariablesapplicationsarray
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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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