Optimal bounds onl-statistics based on samples drawn with replacement from finite populations

DOI10.1080/02331880410001730711zbMath1062.62086OpenAlexW2008393186MaRDI QIDQ4663084

Tomasz Rychlik

Publication date: 30 March 2005

Published in: Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/02331880410001730711

zbMATH Keywords

expectation boundsasymptotic resultswith replacement drawing scheme

Mathematics Subject Classification ID

Inequalities; stochastic orderings (60E15) Exact distribution theory in statistics (62E15) Order statistics; empirical distribution functions (62G30) Combinatorial probability (60C05)

Related Items (8)

Sharp bounds on the expectations of L-statistics expressed in the Gini mean difference units ⋮ Sharp upper bounds for the expected values of non-extreme order statistics from discrete distributions ⋮ Lower bounds on expectations of positive \(L\)-statistics from without-replacement models ⋮ Inequalities for variances of order statistics originating from urn models ⋮ Moments ofL-Statistics: A Divided Differences Approach ⋮ Bounds on expectations of small order statistics from decreasing density populations ⋮ Lower Bounds on Spacings Based on With-Replacement Model ⋮ Lower bounds on expectations of positiveL-statistics based on samples drawn with replacement

Cites Work

• p-norm bounds on the expectation of the maximum of a possibly dependent sample
• Some finite sample results for the selection differential
• Discrete distributions with maximum expected value of the maximum
• 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.
• Bounds on expectation of order statistics from a finite population
• Bounds on expectations of \(L\)-statistics from without replacement samples
• Bounds for the expected value of spacings from discrete distributions
• An Empirical Distribution Function for Sampling with Incomplete Information
• Order Statistics from Discrete Distributions
• Sharp upper mean-variance bounds for trimmed means from restricted families
• Optimal mean-variance bounds on order statistics from families determined by star ordering
• Exact Bounds for the Bias of Trimmed Means
• LIMITS OF THE RATIO OF MEAN RANGE TO STANDARD DEVIATION
• 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

This page was built for publication: Optimal bounds onl-statistics based on samples drawn with replacement from finite populations