Tight evaluations for expectations of small order statistics from symmetric and symmetric unimodal populations

DOI10.1016/j.spl.2009.03.009zbMath1168.60320OpenAlexW2018656119MaRDI QIDQ1030167

Tomasz Rychlik

Publication date: 1 July 2009

Published in: Statistics \& Probability Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.spl.2009.03.009

Mathematics Subject Classification ID

Inequalities; stochastic orderings (60E15) Order statistics; empirical distribution functions (62G30) Characteristic functions; other transforms (60E10)

Related Items

Bounds on the expectations of \(L\)-statistics from iid symmetric populations in various scale units ⋮ Bounds on dispersion of order statistics based on dependent symmetrically distributed random variables ⋮ Sharp bounds on the expectations of L-statistics expressed in the Gini mean difference units ⋮ Non-positive upper bounds on expectations of small order statistics from DDA and DFRA populations ⋮ Refined solution to upper-bound problem for the expectations of order statistics from decreasing density on the average distributions

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