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Quantile estimators and covering probabilities

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Publication:4344669
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DOI10.1080/10485259708832710zbMath1003.62510OpenAlexW2037338161MaRDI QIDQ4344669

Xiaojing Xiang, Paul W. Vos

Publication date: 15 January 2003

Published in: Journal of Nonparametric Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10485259708832710


zbMATH Keywords

kernel estimatorsample quantileEdgeworth expansiondeficiencycovering probability


Mathematics Subject Classification ID

Asymptotic properties of nonparametric inference (62G20) Nonparametric estimation (62G05)


Related Items

Improved confidence intervals for quantiles ⋮ Edgeworth expansion for the kernel quantile estimator



Cites Work

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  • Relative deficiency of kernel type estimators of quantiles
  • Smooth optimum kernel estimators of densities, regression curves and modes
  • Asymptotic normality of the kernel quantile estimator
  • The Edgeworth expansion for U-statistics of degree two
  • On the accuracy of the normal approximation for quantiles
  • Asymptotic Minimax Character of the Sample Distribution Function and of the Classical Multinomial Estimator
  • Approximation Theorems of Mathematical Statistics
  • Kernel Quantile Estimators
  • Nonparametric Statistical Data Modeling
  • Strong limit theorems for oscillation moduli of the uniform empirical process
  • Deficiency
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