Extremes of geometric variables with applications to branching processes
Probability
2007-05-23 v1
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.
Cite
@article{arxiv.math/0312510,
title = {Extremes of geometric variables with applications to branching processes},
author = {Kosto V. Mitov and Anthony G. Pakes and George P. Yanev},
journal= {arXiv preprint arXiv:math/0312510},
year = {2007}
}
Comments
12 pages, some proofs are added to the published version