Independence of Linear Statistics with Random Coefficients and Characterizations of Geometric and Poisson Distributions
Probability
2022-10-05 v1
Abstract
There is given a characterization of the geometric distribution by the independence of linear forms with random coefficients. The result is a discrete analog of the corresponding theorem on exponential distribution. The property of linear statistics independence is also a characterization of Poisson law. Keywords: geometric distribution; exponential distribution; Poisson distribution; linear forms; random coefficients
Keywords
Cite
@article{arxiv.2210.01121,
title = {Independence of Linear Statistics with Random Coefficients and Characterizations of Geometric and Poisson Distributions},
author = {Lev Klebanov},
journal= {arXiv preprint arXiv:2210.01121},
year = {2022}
}
Comments
5 pages, no figures