On a weighted bootstrap approximation of the \(L_p\) norms of kernel density estimators

DOI10.1016/j.spl.2015.06.005zbMath1396.62074OpenAlexW1916808034MaRDI QIDQ894575

Majid Mojirsheibani, Bo Liu

Publication date: 1 December 2015

Published in: Statistics \& Probability Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.spl.2015.06.005

zbMATH Keywords

bootstrapdensityBrownian bridgekernelCLT

Mathematics Subject Classification ID

Density estimation (62G07) Asymptotic properties of nonparametric inference (62G20) Central limit and other weak theorems (60F05) Nonparametric statistical resampling methods (62G09)

Related Items

A Semiparametric Kernel Independence Test With Application to Mutational Signatures, Weighted bootstrapped kernel density estimators in two-sample problems

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Central limit theorem for integrated square error of multivariate nonparametric density estimators
• Central limit theorems for \(L_ p\)-norms of density estimators
• Limit theorems for stochastic measures of the accuracy of density estimators
• On \(L_ p\)-norms of multivariate density estimators
• A rank statistics approach to the consistency of a general bootstrap
• Bootstrap methods: another look at the jackknife
• The weighted bootstrap
• Approximations for weighted bootstrap processes with an application
• Approximations for hybrids of empirical and partial sums processes
• On general resampling algorithms and their performance in distribution estimation
• On the asymptotic normality of \(L_ p\)-norms of empirical functionals
• Multivariate tests-of-fit and uniform confidence bands using a weighted bootstrap
• Multivariate plug-in bandwidth selection
• On some global measures of the deviations of density function estimates
• Strong approximations for weighted bootstrap of empirical and quantile processes with applications
• Approximations for a multivariate hybrid process with applications to change-point detection
• Remarks on Some Nonparametric Estimates of a Density Function
• An approximation of partial sums of independent RV'-s, and the sample DF. I
• A Review of Some Non-parametric Methods of Density Estimation
• Invalidity of average squared error criterion in density estimation
• Asymptotic Normality ofL₁-Error in Density Estimation
• Nonparametric probability density estimation
• On Estimation of a Probability Density Function and Mode
• Some approximations toL_p-statistics of kernel density estimators