Some approximations toLp-statistics of kernel density estimators

DOI10.1080/02331880701223589zbMath1117.62033OpenAlexW1977151294MaRDI QIDQ5758159

Majid Mojirsheibani

Publication date: 3 September 2007

Published in: Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/02331880701223589

zbMATH Keywords

bootstrapapproximationBrownian bridgeCLT

Mathematics Subject Classification ID

Density estimation (62G07) Asymptotic properties of nonparametric inference (62G20) Central limit and other weak theorems (60F05)

Related Items

On a weighted bootstrap approximation of the \(L_p\) norms of kernel density estimators, A weighted bootstrap approximation of the maximal deviation of kernel density estimates over general compact sets, Integral distribution-free statistics of \(L_p\)-type and their asymptotic comparison, Weighted bootstrapped kernel density estimators in two-sample problems

Cites Work

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• The power and optimal kernel of the Bickel-Rosenblatt test for goodness of fit
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• Remarks on Some Nonparametric Estimates of a Density Function
• Asymptotic Normality ofL₁-Error in Density Estimation
• Approximation for bootstrapped empirical processes
• On Estimation of a Probability Density Function and Mode
• Maximum penalized likelihood estimation. Vol. 1: Density estimation