Sharp bounds for expectations of spacings from DDA and DFRA families.

DOI10.1016/j.spl.2003.04.002zbMath1116.60312OpenAlexW2011301511MaRDI QIDQ1423052

Katarzyna Danielak, Tomasz Rychlik

Publication date: 14 February 2004

Published in: Statistics \& Probability Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.spl.2003.04.002

zbMATH Keywords

ProjectionBoundDecreasing density on the averageDecreasing failureOrder statisticrate on the averageSpacing

Mathematics Subject Classification ID

Inequalities; stochastic orderings (60E15)

Related Items (15)

Sharp Upper Bounds for Expectations of Differences of Order Statistics in Various Scale Units ⋮ Bounds on expectations of \(L\)-statistics from without replacement samples ⋮ Evaluations of expectations of order statistics and spacings based on IFR distributions ⋮ Upper non positive bounds on expectations of generalized order statistics from DD and DDA 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 ⋮ Lower and upper bounds on the variances of spacings ⋮ Optimal bounds onl-statistics based on samples drawn with replacement from finite populations ⋮ Projection Bounds on Expectations of Spacings of Generalized Order Statistics from DD and DDA Families ⋮ Projection bounds on expectations of spacings of generalized order statistics from DFR and DFRA families ⋮ Lower Bounds on Spacings Based on With-Replacement Model ⋮ Lower Bounds on PositiveL-Statistics ⋮ Non-positive upper bounds on expectations of low rank order statistics from DFR populations ⋮ Lower bounds on expectations of positiveL-statistics based on samples drawn with replacement ⋮ Bounds on the expectations of \(L\)-statistics based on iid life distributions

Cites Work

• Projection method for moment bounds on order statistics from restricted families. II: Independent case
• Projection method for moment bounds on order statistics from restricted families
• Bounds for the expected value of spacings from discrete distributions
• Optimal mean-variance bounds on order statistics from families determined by star ordering
• Inequalities for Linear Combinations of Order Statistics from Restricted Families
• LIMITS OF THE RATIO OF MEAN RANGE TO STANDARD DEVIATION
• A Modification of Schwarz's Inequality with Applications to Distributions
• Mean-variance bounds for order statistics from dependent DFR, IFR, DFRA and IFRA samples
• Projecting statistical functionals
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