A characterization of Exponential Distribution and the Sukhatme-Renyi Decomposition of Exponential Maxima
classification
🧮 math.PR
math.STstat.TH
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exponentialcharacterizationdistributionsukhatme-renyiarnoldconditiondecompositiondensity
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A new characterization of the exponential distribution is established. It is proven that the well-known Sukhatme-Renyi necessary condition is also sufficient for exponentiality. A method of proof due to Arnold and Villasenor based on the Maclaurin series expansion of the density is utilized.
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