On characterizations of independent identically distributed random variables via order structures

S.V. Malov

Statistics & Probability Letters, 1996, vol. 26, issue 2, 97-104

Abstract: Let X1,X2,...,Xn be compatible independent random variables of continuous type, X(r) be the rth order statistic and I(r): I(r) = i if X(r) = Xi. It is shown that I(r) and X(r) are independent if and only if identically distributed.

Keywords: Order; statistics; Compatible; random; variables; Sequential; ranks; Antiranks (search for similar items in EconPapers)
Date: 1996
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