Improving the Hartley-David-Gumbel bound for the mean of extreme order statistics
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Publication:583770
DOI10.1016/0167-7152(90)90102-DzbMath0692.62046OpenAlexW2046255749MaRDI QIDQ583770
Publication date: 1990
Published in: Statistics \& Probability Letters (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0167-7152(90)90102-d
Inequalities; stochastic orderings (60E15) Order statistics; empirical distribution functions (62G30)
Related Items (12)
OPTIMAL MOMENT INEQUALITIES FOR ORDER STATISTICS FROM NONNEGATIVE RANDOM VARIABLES ⋮ Maximum variance of order statistics ⋮ Progressive censoring methodology: an appraisal (with comments and rejoinder) ⋮ Improved bounds for expectations of linear functions of order statistics ⋮ On the Bounds for the Expected Maxima of Random Samples with Known Expected Maxima of Two Samples of Smaller Size ⋮ Sequence of expectations of maximum-order statistics ⋮ A note on the sequence of expected extremes ⋮ Inequalities for expected extreme order statistics ⋮ Monotonicity properties of certain expected extreme order statistics ⋮ On the Influence of Record Terms in the Addition of Independent Random Variables ⋮ Bounds for means and variances of progressive type II censored order statistics ⋮ Bounds on the expectations of \(L\)-statistics based on iid life distributions
Cites Work
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- p-norm bounds on the expectation of the maximum of a possibly dependent sample
- Ungleichungen für Extremwerte und andere Ranggrößen in Anwendung auf biometrische Probleme
- Extremal Properties of Extreme Value Distributions
- The Maxima of the Mean Largest Value and of the Range
- Universal Bounds for Mean Range and Extreme Observation
- Über Erwartungswerte und Varianzen von Ranggrößen in kleinen Stichproben
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