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arXiv · 2204.00867

On characterization of the exponential distribution via hypoexponential distributions

George Yanev
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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.

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George Yanev. 2022-04-02. On characterization of the exponential distribution via hypoexponential distributions. https://doi.org/10.1007/s42519-023-00327-6

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