Best bounds for order statistics and their expectations in range and mean units with applications

DOI10.1080/03610928208828351zbMath0506.62031OpenAlexW2018071374MaRDI QIDQ4743583

Richard A. Groeneveld

Publication date: 1982

Published in: Communications in Statistics - Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03610928208828351

zbMATH Keywords

inequalitiesspacingsrangebounds on order statisticsdifferences of order statisticsmean of non-negative samples

Mathematics Subject Classification ID

Order statistics; empirical distribution functions (62G30) Statistical distribution theory (62E99)

Related Items (5)

Sharp bounds on l-estimates and their expectations for dependent samples ⋮ Bounds for expectation of l-estimates for dependent samples ⋮ Bounds on the expected maximum ⋮ General bounds and inequalities in order statistics ⋮ Stochastic comparisons of order statistics,with applications in relibility

Cites Work

• Bounds for deviations between sample and population statistics
• Inequalities of Chebyshev Type Involving Conditional Expectations

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