Extremes of geometric variables with applications to branching processes

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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.
12 pages, some proofs are added to the published version

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Probability, 60J80; 60G70

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http://salesiana.dossiersoluciones.com/handle/123456789/69743

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0312510
 http://arxiv.org/abs/math/0312510
 Statistics & Probability Letters 65 (2003), 4:379-388
 doi:10.1016/j.spl.2003.10.002

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arXiv