Extremes of geometric variables with applications to branching processes

Kosto V. Mitov; Anthony G. Pakes; George P. Yanev

doi:10.1016/j.spl.2003.10.002

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Extremes of geometric variables with applications to branching processes

Kosto V. Mitov·Anthony G. Pakes·George P. Yanev

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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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Kosto V. Mitov, Anthony G. Pakes, George P. Yanev. 2003-12-31. Extremes of geometric variables with applications to branching processes. https://doi.org/10.1016/j.spl.2003.10.002

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