On the rates of asymptotic normality for Bernstein polynomial estimators in a triangular array
type: Item
instance of: scholarly article
title: On the rates of asymptotic normality for Bernstein polynomial estimators in a triangular array
zbMATH Open document ID: 1480.60053
author: Dawei Lu
author: Lina Wang
published in: Methodology and Computing in Applied Probability
publication date: 2022-01-07T00:00:00Z
Mathematics Subject Classification ID: 60F05
Mathematics Subject Classification ID: 62G05
Mathematics Subject Classification ID: 62G30
zbMATH DE Number: 7453917
zbMATH Keywords: Bernstein polynomials
zbMATH Keywords: distribution function estimator
zbMATH Keywords: asymptotic normality
zbMATH Keywords: Berry-Esseen theorem
zbMATH Keywords: triangular array
MaRDI profile type: Publication
full work available at URL: s11009-020-09829-3
OpenAlex ID: W3092113834
cites work: Asymptotic Behavior of the Multinomial Dstribution
cites work: Smooth estimation of a distribution and density function on a hypercube using Bernstein polynomials for dependent random vectors
cites work: Application of Bernstein polynomials for smooth estimation of a distribution and density function
cites work: On the asymptotic properties of the Bernstein estimator of the multivariate distribution function
cites work: Normal Approximation by Stein’s Method
cites work: A finely tuned continuity correction
cites work: Q5782760
cites work: Strong laws for density estimators of Bernstein type
cites work: Berry-Esseen bounds for kernel estimates of stationary processes
cites work: Asymptotic normality of kernel density function estimator from continuous time stationary and dependent processes
cites work: Chung–Smirnov property for Bernstein estimators of distribution functions
cites work: A bias-reduced approach to density estimation using Bernstein polynomials
cites work: On estimating distribution functions using Bernstein polynomials
cites work: On the boundary properties of Bernstein polynomial estimators of density and distribution functions
cites work: Asymptotic normality of a consistent estimator of maximum mean discrepancy in Hilbert space
cites work: Asymptotic properties of Bernstein estimators on the simplex
cites work: A precise local limit theorem for the multinomial distribution and some applications
cites work: Asymptotic distributions of smoothed histograms
cites work: Two-dimensional Bernstein polynomial density estimators
cites work: Q4091285
cites work: On the rates of asymptotic normality for recursive kernel density estimators under ϕ-mixing assumptions
cites work: The Berry-Esseen bounds for kernel density estimator under dependent sample
DOI: 10.1007/S11009-020-09829-3
description: scientific article; zbMATH DE number 7453917