School of Mathematical and Statistical Sciences Faculty Publications and Presentations
Title
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.
Recommended Citation
Yanev, G. On Characterization of the Exponential Distribution Via Hypoexponential Distributions. J Stat Theory Pract 17, 30 (2023). https://doi.org/10.1007/s42519-023-00327-6
Publication Title
Journal of Statistical Theory and Practice
DOI
10.1007/s42519-023-00327-6
Comments
https://rdcu.be/c8aX5