CHARACTERIZATIONS OF THE EXPONENTIAL DISTRIBUTION BY RECORD VALUES

Abstract

This paper presents characterizations based on the identical distribution and the finite moments of the exponential distribution by record values. We prove that X ∈ EXP (σ), σ > 0, if and only if XU (n+k) − XU (n) and XU (n) − XU (n−k) for n > 1 and k ≥ 1 are identically distributed. Also, we show that X ∈ EXP (σ), σ > 0, if and only if E = E

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