Extremes of geometric variables with applications to branching processes
Copyright policy )Extremes of geometric variables with applications to branching processes
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
- University of Western Australia Australia
- Florida Southern College United States
- United States Air Force Academy United States
- University of South Florida United States
60J80, 60G70, Probability (math.PR), Geometric arrays, Varying, Maximum family sizes, Extreme value theory; extremal stochastic processes, 60J80; 60G70, Branching processes, Branching processes (Galton-Watson, birth-and-death, etc.), FOS: Mathematics, Sample extrema, environments, Mathematics - Probability
60J80, 60G70, Probability (math.PR), Geometric arrays, Varying, Maximum family sizes, Extreme value theory; extremal stochastic processes, 60J80; 60G70, Branching processes, Branching processes (Galton-Watson, birth-and-death, etc.), FOS: Mathematics, Sample extrema, environments, Mathematics - Probability
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