On the uniform consistency of the Bernstein density estimator
type: Item
instance of: scholarly article
title: On the uniform consistency of the Bernstein density estimator
zbMATH Open document ID: 1328.62236
author: Lu Lu
published in: Statistics \& Probability Letters
publication date: 2015-12-23T00:00:00Z
Mathematics Subject Classification ID: 62G07
Mathematics Subject Classification ID: 60F15
zbMATH DE Number: 6523857
zbMATH Keywords: Bernstein density estimator
zbMATH Keywords: rate of uniform consistency
zbMATH Keywords: supremum norm
MaRDI profile type: Publication
full work available at URL: j.spl.2015.08.004
OpenAlex ID: W1189022271
cites work: Application of Bernstein polynomials for smooth estimation of a distribution and density function
cites work: Smooth estimation of a distribution and density function on a hypercube using Bernstein polynomials for dependent random vectors
cites work: Minimax properties of beta kernel estimators
cites work: Beta kernel estimators for density functions
cites work: On automatic boundary corrections
cites work: An empirical process approach to the uniform consistency of kernel-type function estimators
cites work: Uniform in bandwidth consistency of kernel-type function estimators
cites work: Convergence rates for density estimation with Bernstein polynomials.
cites work: On consistency of kernel density estimators for randomly censored data: Rates holding uniformly over adaptive intervals
cites work: Rates of strong uniform consistency for multivariate kernel density estimators. (Vitesse de convergence uniforme presque sûre pour des estimateurs à noyaux de densités multivariées)
cites work: Uniform limit theorems for wavelet density estimators
cites work: Q4171432
cites work: On improving convergence rate of Bernstein polynomial density estimator
cites work: Bernstein polynomial estimation of a spectral density
cites work: Bernstein polynomial probability density estimation
cites work: Posterior convergence rates for Dirichlet mixtures of beta densities
cites work: A bias-reduced approach to density estimation using Bernstein polynomials
cites work: On the boundary properties of Bernstein polynomial estimators of density and distribution functions
cites work: Q3840971
cites work: On the integrated squared error of the linear wavelet density estimator
cites work: Smooth optimum kernel estimators near endpoints
cites work: On Estimation of a Probability Density Function and Mode
cites work: Bayesian density estimation using bernstein polynomials
cites work: Consistency of Bernstein Polynomial Posteriors
cites work: Remarks on Some Nonparametric Estimates of a Density Function
cites work: Sharper bounds for Gaussian and empirical processes
cites work: New concentration inequalities in product spaces
cites work: Two-dimensional Bernstein polynomial density estimators
cites work: Nonparametric curve estimation with Bernstein estimates
cites work: Q4091285
DOI: 10.1016/J.SPL.2015.08.004
description: scientific article; zbMATH DE number 6523857