arXiv subjects

George Yanev

Publications and source records attributed to George Yanev.

2 recordsLinked to original sources

arXiv2023

On characterization of the exponential distribution via hypoexponential distributions

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.

math.PR↗

arXiv2020

On Arnold-Villasenor Conjectures for Characterizing Exponential Distribution Based on Sample of Size Three

Arnold and Villasenor (2013) obtain a series of characterizations of the exponential distribution based on random samples of size two. These results were already applied in constructing goodness-of-fit tests. Extending the techniques from Arnold and Villasenor (2013), we prove some of the conjectures for samples of size three. An example with simulated data is discussed.

math.PR↗