Characterizations of the exponential distribution by higher‐order gap

M. Ahsanullah

Naval Research Logistics Quarterly, 1983, vol. 30, issue 2, 343-345

Abstract: Suppose X1,X2, ⃛,Xn is a random sample of size n from a continuous distribution function F(x) and let X1,n, ≦ X2,n ≦ ⃛ ≦ Xn,n be the corresponding order statistics. We define the jth‐order gap gi,j as gi,j = Xi+j,n − Xi,n, 1 ≦ i

Date: 1983
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