Throwing Stones and Collecting Bones: Looking for Poisson-like Random Measures
Probability
2020-09-24 v3
Abstract
We show that in a broad class of random counting measures one may identify only three that are rescaled versions of themselves when restricted to a subspace. These are Poisson, binomial and negative binomial random measures. We provide some simple examples of possible applications of such measures.
Keywords
Cite
@article{arxiv.1807.09684,
title = {Throwing Stones and Collecting Bones: Looking for Poisson-like Random Measures},
author = {Caleb Deen Bastian and Grzegorz A. Rempala},
journal= {arXiv preprint arXiv:1807.09684},
year = {2020}
}
Comments
11 pages, 1 table