School of Mathematical and Statistical Sciences Faculty Publications and Presentations

On Characterization of the Exponential Distribution Via Hypoexponential Distributions

Document Type

Article

Publication Date

3-21-2023

Abstract

The sum of independent, but not necessary identically distributed, exponential random variables follows a 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.

Comments

https://rdcu.be/c8aX5

Publication Title

Journal of Statistical Theory and Practice

DOI

10.1007/s42519-023-00327-6

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