English

A note on the distribution of the maximum of a set of Poisson random variables

Probability 2009-03-26 v2

Abstract

Given a set of independent Poisson random variables with common mean, we study the distribution of their maximum and obtain an accurate asymptotic formula to locate the most probable value of the maximum. We verify our analytic results with very precise numerical computations.

Keywords

Cite

@article{arxiv.0903.4373,
  title  = {A note on the distribution of the maximum of a set of Poisson random variables},
  author = {K. M. Briggs and L. Song and T. Prellberg},
  journal= {arXiv preprint arXiv:0903.4373},
  year   = {2009}
}

Comments

4 pages, included missing references