Lower Bounds on Spacings Based on With-Replacement Model

DOI10.1080/03610920802101563zbMath1168.60317OpenAlexW2036523960MaRDI QIDQ3391842

Tomasz Rychlik, Agnieszka Goroncy

Publication date: 13 August 2009

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

Full work available at URL: https://doi.org/10.1080/03610920802101563

zbMATH Keywords

order statisticfinite populationexpectationoptimal boundspacingdrawing with replacement

Mathematics Subject Classification ID

Inequalities; stochastic orderings (60E15) Sampling theory, sample surveys (62D05) Order statistics; empirical distribution functions (62G30)

Cites Work

• Lower bounds on expectations of positive \(L\)-statistics from without-replacement models
• Sharp bounds for expectations of spacings from DDA and DFRA families.
• Bounds on expectations of \(L\)-statistics from without replacement samples
• Evaluating improvements for spacings of order statistics
• Sharp Upper Bounds for Expectations of Differences of Order Statistics in Various Scale Units
• Lower bounds on expectations of positiveL-statistics based on samples drawn with replacement
• Bounds on Differences of Order Statistics
• Sharp bounds on l-estimates and their expectations for dependent samples
• Bounds for expectation of l-estimates for dependent samples
• Order Statistics
• Optimal bounds onl-statistics based on samples drawn with replacement from finite populations
• Sharp bounds for expectations of spacings from decreasing density and failure rate families
• A Modification of Schwarz's Inequality with Applications to Distributions
• Bounds for the ratio of range to standard deviation
• Mean-variance bounds for order statistics from dependent DFR, IFR, DFRA and IFRA samples
• Projecting statistical functionals

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