Iterated smoothed bootstrap confidence intervals for population quantiles

DOI10.1214/009053604000000878zbMath1064.62051arXivmath/0504516OpenAlexW1966353852MaRDI QIDQ1781168

Stephen M. S. Lee, Yvonne H. S. Ho

Publication date: 23 June 2005

Published in: The Annals of Statistics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0504516

zbMATH Keywords

bandwidthkernelquantilesmoothed bootstrapiterated bootstrapstudentized sample quantilebootstrap-\(t\)

Mathematics Subject Classification ID

Nonparametric tolerance and confidence regions (62G15) Order statistics; empirical distribution functions (62G30) Bootstrap, jackknife and other resampling methods (62F40) Nonparametric statistical resampling methods (62G09)

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Cites Work

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• A smoothed bootstrap estimator for a Studentized sample quantile
• On the error incurred using the bootstrap variance estimate when constructing confidence intervals for quantiles
• On the bootstrap and confidence intervals
• On smoothing and the bootstrap
• A note on the accuracy of bootstrap percentile method confidence intervals for a quantile
• Approximate distributions of order statistics. With applications to nonparametric statistics
• Edgeworth expansions for studentized and prepivoted sample quantiles
• On the validity of the formal Edgeworth expansion
• Smoothed empirical likelihood confidence intervals for quantiles
• Empirical likelihood ratio confidence intervals for a single functional
• On bootstrap resampling and iteration
• Prepivoting to reduce level error of confidence sets
• A note on coverage error of bootstrap confidence intervals for quantiles
• On kernel density derivative estimation
• The bootstrap and Edgeworth expansion