On characterization of the exponential distribution via hypoexponential distributions
Probability
2023-04-04 v3 Statistics Theory
Statistics Theory
Abstract
The sum of independent, but not necessary identically distributed, exponential random variables follows hypoexponential distribution. We focus on a particular case when all, but one rate parameters of the exponential variables are identical. this is known as exponentially modified Erlang distribution in molecular biology. We prove a characterization of the exponential distribution, which complements previous characterizations via hypoexponential distribution with all rates different from each other.
Cite
@article{arxiv.2204.00867,
title = {On characterization of the exponential distribution via hypoexponential distributions},
author = {George Yanev},
journal= {arXiv preprint arXiv:2204.00867},
year = {2023}
}
Comments
To appear in Journal of Statistical Theory and Practice, SharedIt link: https://rdcu.be/c8aX5