Bootstrap approximation to distributions of finite population U-statistics

DOI10.1007/s10440-007-9092-3zbMath1116.62024OpenAlexW1971450575MaRDI QIDQ996719

Mindaugas Bloznelis

Publication date: 19 July 2007

Published in: Acta Applicandae Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10440-007-9092-3

zbMATH Keywords

BootstrapU-statisticFinite populationSampling without replacement

Mathematics Subject Classification ID

Asymptotic distribution theory in statistics (62E20) Asymptotic properties of nonparametric inference (62G20) Sampling theory, sample surveys (62D05) Bootstrap, jackknife and other resampling methods (62F40) Nonparametric statistical resampling methods (62G09)

Related Items (5)

An exact bootstrap for variance of finite-population \(L\)-statistic ⋮ Calibrated bootstrap and saddlepoint approximations of finite population \(L\)-statistics ⋮ Bootstrap approximation to distributions of finite population U-statistics ⋮ Gini's mean difference and variance as measures of finite populations scales ⋮ Second-order approximations of finite populationL-statistics

Cites Work

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• Normal approximation for finite-population U-statistics
• Inference on means using the bootstrap
• Asymptotic normality and the bootstrap in stratified sampling
• On the Edgeworth expansion and the bootstrap approximation for a Studentized U-statistic
• An Edgeworth expansion for U-statistics based on samples from finite populations
• Bootstrap approximation to distributions of finite population U-statistics
• Edgeworth expansions for sampling without replacement from finite populations
• Theoretical comparison of bootstrap confidence intervals
• Second order and \(L^ p\)-comparisons between the boostrap and empirical Edgeworth expansion methodologies
• On the asymptotic accuracy of Efron's bootstrap
• Bootstrap methods: another look at the jackknife
• An Edgeworth expansion for symmetric statistics
• An Edgeworth expansion for studentized finite population statistics
• Orthogonal decomposition of finite population statistics and its applications to distributional asymptotics
• A Resampling Procedure for Complex Survey Data
• Edgeworth expansion and the bootstrap for stratified sampling without replacement from a finite population
• Bootstrap Methods for Finite Populations
• Probability Inequalities for Sums of Bounded Random Variables
• A Class of Statistics with Asymptotically Normal Distribution
• The bootstrap and Edgeworth expansion

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