Bounds on expected generalized order statistics

DOI10.1080/02331888.2013.800073zbMath1296.60039OpenAlexW2069010670MaRDI QIDQ5169788

Agnieszka Goroncy

Publication date: 11 July 2014

Published in: Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/02331888.2013.800073

zbMATH Keywords

Hölder inequalitygeneralized order statisticsexpectationoptimal boundMoriguti inequality

Mathematics Subject Classification ID

Inequalities; stochastic orderings (60E15) Exact distribution theory in statistics (62E15) Order statistics; empirical distribution functions (62G30)

Related Items (8)

Comparisons of the expectations of system and component lifetimes in the failure dependent proportional hazard model ⋮ 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 ⋮ On upper bounds on expectations of gOSs based on DFR and DFRA distributions ⋮ Optimal upper bounds on expected kth record values from IGFR distributions ⋮ Sharp lower bounds on expectations of gOS based on DGFR distributions ⋮ Optimal equivariant prediction regions based on multiply type-II censored generalized order statistics from exponential distributions

Cites Work

• Lower bounds on the expectations of upper record values
• Bounds on expectations of small order statistics from decreasing density populations
• Marginal distributions of sequential and generalized order statistics
• A concept of generalized order statistics
• Lower Bounds on PositiveL-Statistics
• A Modification of Schwarz's Inequality with Applications to Distributions

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