Upper non positive bounds on expectations of generalized order statistics from DD and DDA populations

DOI10.1080/03610926.2017.1288250zbMath1384.62159OpenAlexW2762332807MaRDI QIDQ4606443

Agnieszka Goroncy

Publication date: 7 March 2018

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

Full work available at URL: https://doi.org/10.1080/03610926.2017.1288250

zbMATH Keywords

boundgeneralized order statisticsconvex transform orderdecreasing densitydecreasing density on the average

Mathematics Subject Classification ID

Inequalities; stochastic orderings (60E15) Order statistics; empirical distribution functions (62G30) Statistics of extreme values; tail inference (62G32)

Related Items (3)

On upper bounds on expectations of gOSs based on DFR and DFRA distributions ⋮ Sharp lower bounds on expectations of gOS based on DGFR distributions ⋮ Bounds on the expectations of \(L\)-statistics based on iid life distributions

Cites Work

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• Lower bounds on the expectations of upper record values
• Bounds on expectations of small order statistics from decreasing density populations
• Sharp bounds for expectations of spacings from DDA and DFRA families.
• Marginal distributions of sequential and generalized order statistics
• A concept of generalized 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
• Optimal mean-variance bounds on order statistics from families determined by star ordering
• Evaluations of expected generalized order statistics in various scale units
• Bounds on expected generalized order statistics
• Inequalities for Linear Combinations of Order Statistics from Restricted Families
• Mean-variance bounds for order statistics from dependent DFR, IFR, DFRA and IFRA samples
• Projecting statistical functionals

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