Accuracy of the bootstrap approximation

DOI10.1007/BF01193748zbMath0741.62017OpenAlexW2023641055MaRDI QIDQ1179291

Arup Bose, Gutti Jogesh Babu

Publication date: 26 June 1992

Published in: Probability Theory and Related Fields (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01193748

zbMATH Keywords

rate of convergencecoverage probabilityquantilesEdgeworth expansionempirical distributionsample meanbootstrap confidence intervalssampling distributionaccuracy of approximationprobabilistic bounds\(t\)-statisticsbootstrap distributionpercentiles of studentized means

Mathematics Subject Classification ID

Asymptotic distribution theory in statistics (62E20) Nonparametric statistical resampling methods (62G09)

Related Items (1)

Variance stabilizing transformations, studentization and the bootstrap

Cites Work

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• Edgeworth corrected pivotal statistics and the bootstrap
• On the bootstrap and confidence intervals
• 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
• On r-quick limit sets for empirical and related processes based on mixing random variables
• Nonuniform central limit bounds with applications to probabilities of deviations
• Speeds of convergence for the multidimensional central limit theorem
• Bootstrap confidence intervals
• Modified t Tests and Confidence Intervals for Asymmetrical Populations

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