Moment inequalities for order statistics with applications to characterizations of distributions

DOI10.1007/BF02613633zbMath0743.62013OpenAlexW2027431316MaRDI QIDQ1185344

Ursula Gather, Lestaw Gajek

Publication date: 28 June 1992

Published in: Metrika (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/176373

zbMATH Keywords

Paretocharacterizationspolynomialmoments of order statisticsWeibull distributionexponentialuniformmoments of record valuesgeneral inequalities of Hölder typereflected Pareto

Mathematics Subject Classification ID

Inequalities; stochastic orderings (60E15) Order statistics; empirical distribution functions (62G30) Characterization and structure theory of statistical distributions (62E10)

Related Items (9)

Recurrence relations for moments of record values ⋮ Maximum variance of order statistics ⋮ On characterizations of distributions by expected values of order statistics and record values with gap ⋮ A concept of generalized order statistics ⋮ Relations for \(m\)-generalized order statistics via an Opial-type inequality ⋮ P-norm bounds for moments of progressive type II censored order statistics. ⋮ Sharp Bounds for Generalized Order Statistics via Logarithmic Moments ⋮ Random Convex Combinations ofm-Generalized Order Statistics ⋮ An identity for expectations of functions of order statistics

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