On the accuracy of the bootstrap approximation of the joint distribution of sample quantiles

DOI10.1080/03610928608829283zbMath0617.62018OpenAlexW2144978600MaRDI QIDQ4727181

Michael Falk

Publication date: 1986

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

Full work available at URL: https://doi.org/10.1080/03610928608829283

zbMATH Keywords

accuracybootstrap approximationconfidence intervalempirical distributionjoint distribution of sample quantiles

Mathematics Subject Classification ID

Asymptotic distribution theory in statistics (62E20) Nonparametric estimation (62G05) Order statistics; empirical distribution functions (62G30)

Related Items (1)

Weak convergence of the maximum error of the bootstrap quantile estimate

Cites Work

• Jackknife approximations to bootstrap estimates
• On the estimation of the quantile density function
• Some asymptotic theory for the bootstrap
• Approximation of product measures with an application to order statistics
• On the asymptotic accuracy of Efron's bootstrap
• Bootstrap methods: another look at the jackknife
• On Bahadur's Representation of Sample Quantiles
• On the deviations in the Skorokhod-Strassen approximation scheme

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