Relations for \(m\)-generalized order statistics via an Opial-type inequality

DOI10.1016/j.jspi.2011.12.026zbMath1243.62065OpenAlexW2015084127MaRDI QIDQ434547

Agnieszka Goroncy, Udo Kamps

Publication date: 16 July 2012

Published in: Journal of Statistical Planning and Inference (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jspi.2011.12.026

zbMATH Keywords

momentsrecord valuesinverse moments

Mathematics Subject Classification ID

Inequalities; stochastic orderings (60E15) Exact distribution theory in statistics (62E15) Order statistics; empirical distribution functions (62G30) Statistics of extreme values; tail inference (62G32)

Related Items (2)

Distances between models of generalized order statistics ⋮ Concomitants of \(m\)-generalized order statistics from generalized Farlie-Gumbel-Morgenstern distribution family

Cites Work

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• Lower bounds on the expectations of upper record values
• Inequalities for moments of order statistics and characterizations of distributions
• Moment inequalities for order statistics with applications to characterizations of distributions
• Relations, bounds and approximations for order statistics
• Opial-type inequalities involving higher order differences
• Unimodality of uniform generalized order statistics, with applications to mean bounds
• Remarks on the generalizations of Opial's inequality
• A concept of generalized order statistics
• Extensions of Pi Opial's inequality
• Sur une inégalité
• A simple proof of a certain result of Z. Opial
• Lower Bounds on PositiveL-Statistics
• Projection bounds on expectations of generalized order statistics from DFR and DFRA families
• On Families of Distributions for Which Optimal Bounds on Expectations of GOS Can be Derived
• Evaluations of expected generalized order statistics in various scale units
• On a certain result of Z. Opial
• Shorter Notes: An Even Simpler Proof of Opial's Inequality
• Analytic Inequalities
• On an Integral Inequality of Z. Opial
• Projecting statistical functionals
• Sharp distribution-free bounds on the bias in estimating quantiles via order statistics

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