Maximal Expectations of Extreme Order Statistics from Increasing Density and Failure Rate Populations

DOI10.1080/03610926.2013.783071zbMath1331.62257OpenAlexW1971790780MaRDI QIDQ2876197

Tomasz Rychlik

Publication date: 18 August 2014

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

Full work available at URL: https://doi.org/10.1080/03610926.2013.783071

zbMATH Keywords

order statisticincreasing failure ratesharp boundincreasing density

Mathematics Subject Classification ID

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

Related Items (6)

Evaluations of expectations of order statistics and spacings based on IFR distributions ⋮ Upper bounds for the expected maxima of independent random variables given known first four moments ⋮ On the Bounds for the Expected Maxima of Random Samples with Known Expected Maxima of Two Samples of Smaller Size ⋮ Optimal bounds on expectations of order statistics and spacings from nonparametric families of distributions generated by convex transform order ⋮ Optimal upper bounds on expected kth record values from IGFR distributions ⋮ Bounds on the expectations of \(L\)-statistics based on iid life distributions

Cites Work

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• On Families of Distributions for Which Optimal Bounds on Expectations of GOS Can be Derived
• Sharp upper mean-variance bounds for trimmed means from restricted families
• Optimal mean-variance bounds on order statistics from families determined by star ordering
• 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

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