Extremes of geometric variables with applications to branching processes

Kosto V. Mitov, Anthony G. Pakes and George P. Yanev

Statistics & Probability Letters, 2003, vol. 65, issue 4, 379-388

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.

Keywords: Sample; extrema; Geometric; arrays; Branching; processes; Varying; environments; Maximum; family; sizes (search for similar items in EconPapers)
Date: 2003
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Citations: View citations in EconPapers (1)

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