School of Mathematical and Statistical Sciences Faculty Publications and Presentations
On Characterization of the Exponential Distribution Via Hypoexponential Distributions
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.
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
Journal of Statistical Theory and Practice