Refined solution to upper-bound problem for the expectations of order statistics from decreasing density on the average distributions

DOI10.1080/03610926.2017.1367813OpenAlexW2763289414MaRDI QIDQ5154055

Tomasz Rychlik, Agnieszka Goroncy

Publication date: 1 October 2021

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

Full work available at URL: https://doi.org/10.1080/03610926.2017.1367813

zbMATH Keywords

order statisticBernstein polynomialvariation diminishing propertysharp bounddecreasing density on the average

Mathematics Subject Classification ID

Inequalities; stochastic orderings (60E15) Order statistics; empirical distribution functions (62G30) Reliability and life testing (62N05)

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Cites Work

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• Bounds on expectations of small order statistics from decreasing density populations
• Tight evaluations for expectations of small order statistics from symmetric and symmetric unimodal populations
• p-norm bounds on the expectation of the maximum of a possibly dependent sample
• Projection method for moment bounds on order statistics from restricted families. II: Independent case
• Sharp bounds for expectations of spacings from DDA and DFRA families.
• Relations, bounds and approximations for order statistics
• Non-positive upper bounds on expectations of small order statistics from DDA and DFRA populations
• Projection bounds on expectations of generalized order statistics from DD and DDA families
• Some inequalities for starshaped and convex functions
• Lower Bounds on PositiveL-Statistics
• Non-positive upper bounds on expectations of low rank order statistics from DFR populations
• Projection bounds on expectations of generalized order statistics from DFR and DFRA families
• Sharp upper mean-variance bounds for trimmed means from restricted families
• Optimal mean-variance bounds on order statistics from families determined by star ordering
• Sharp bounds for expectations of spacings from decreasing density and failure rate families
• Bounds on expected generalized order statistics
• Inequalities for Linear Combinations of Order Statistics from Restricted Families
• A Modification of Schwarz's Inequality with Applications to Distributions
• The Maxima of the Mean Largest Value and of the Range
• Universal Bounds for Mean Range and Extreme Observation
• Projecting statistical functionals

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