CHARACTERIZATIONS OF THE WEIBULL DISTRIBUTION BY THE INDEPENDENCE OF RECORD VALUES

Abstract

This paper presents some characterizations of the Weibull distribution by the independence of record values. We prove that and XU (n+1) X ∼ W eibull(1, α), α > 0 if and only if for n ≥ 1 are independent. We show that X ∼ W eibull(1, α), α > 0 if and only if and XU (n+1) for n ≥ 1 are independent. And we establish that X ∼ W eibull(1, α), α > 0 if and only if

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