Projection bounds on expectations of generalized order statistics from DFR and DFRA families

DOI10.1080/02331880600688221zbMath1098.62057OpenAlexW1980660818MaRDI QIDQ3409012

Mariusz Bieniek

Publication date: 7 November 2006

Published in: Unnamed Author (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/02331880600688221

zbMATH Keywords

Meijer's G-functionGeneralized order statisticsConvex coneProjection methodDecreasing failure rate

Mathematics Subject Classification ID

Inequalities; stochastic orderings (60E15) Order statistics; empirical distribution functions (62G30) Reliability and life testing (62N05)

Related Items (12)

Relations for \(m\)-generalized order statistics via an Opial-type inequality ⋮ On Families of Distributions for Which Optimal Bounds on Expectations of GOS Can be Derived ⋮ Evaluations of generalized order statistics from bounded populations ⋮ 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 ⋮ Projection bounds on expectations of generalized order statistics from DD and DDA families ⋮ Optimal bounds on expectations of order statistics and spacings from nonparametric families of distributions generated by convex transform order ⋮ Projection bounds on expectations of spacings of generalized order statistics from DFR and DFRA families ⋮ On upper bounds on expectations of gOSs based on DFR and DFRA distributions ⋮ Non-positive upper bounds on expectations of low rank order statistics from DFR populations ⋮ Sharp lower bounds on expectations of gOS based on DGFR distributions ⋮ Bounds on the expectations of \(L\)-statistics based on iid life distributions

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