Monotonicity properties of certain expected extreme order statistics

Jesús de la Cal and Ana M. Valle

Statistics & Probability Letters, 2001, vol. 52, issue 3, 313-319

Abstract: If X1([theta]),...,Xn([theta]) are independent random variables having discrete distributions depending on a positive parameter [theta][set membership, variant](0,[rho]) and satisfying appropriate assumptions, the expected extreme order statistics EXn:n([theta]) and EX1:n([theta]) have nice monotonicity properties. Such properties extend to random extreme order statistics, but not to intermediate order statistics.

Keywords: Discrete; distributions; One-parameter; family; Order; statistics; Expected; value; Monotonicity; properties (search for similar items in EconPapers)
Date: 2001
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