Title

On characterization of the exponential distribution via hypoexponential distributions

Authors

George Yanev, The University of Texas Rio Grande ValleyFollow

Document Type

Article

Publication Date

Spring 4-4-2022

Abstract

The sum of independent, but not necessary identically distributed, exponential random variables follows hypoexponential distribution. We study a situation when the rate parameters of the exponential variables are not all different from each other. We obtain a representation for the Laplace transform of the hypoexponential distribution in the case of two repeated parameter values. Applying this decomposition, we prove a characterization of the exponential distribution.

Comments

Submitted to J. Statistical Theory and Practice

Recommended Citation

George Yanev. “On characterization of the exponential distribution via hypoexponential distributions.” J. Statistical Theory and Practice, forthcoming.

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