On the rates of asymptotic normality for Bernstein polynomial estimators in a triangular array

DOI10.1007/s11009-020-09829-3zbMath1480.60053OpenAlexW3092113834MaRDI QIDQ2065486

Dawei Lu, Li-na Wang

Publication date: 7 January 2022

Published in: Methodology and Computing in Applied Probability (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11009-020-09829-3

zbMATH Keywords

asymptotic normalityBernstein polynomialsBerry-Esseen theoremtriangular arraydistribution function estimator

Mathematics Subject Classification ID

Nonparametric estimation (62G05) Central limit and other weak theorems (60F05) Order statistics; empirical distribution functions (62G30)

Related Items (3)

The stochastic convergence of Bernstein polynomial estimators in a triangular array ⋮ On the rates of asymptotic normality for Bernstein density estimators in a triangular array ⋮ Application of Bernstein polynomials on estimating a distribution and density function in a triangular array

Cites Work

• Unnamed Item
• Unnamed Item
• On the asymptotic properties of the Bernstein estimator of the multivariate distribution function
• The Berry-Esseen bounds for kernel density estimator under dependent sample
• On the boundary properties of Bernstein polynomial estimators of density and distribution functions
• Berry-Esseen bounds for kernel estimates of stationary processes
• Strong laws for density estimators of Bernstein type
• Asymptotic distributions of smoothed histograms
• A finely tuned continuity correction
• Two-dimensional Bernstein polynomial density estimators
• Application of Bernstein polynomials for smooth estimation of a distribution and density function
• Asymptotic normality of kernel density function estimator from continuous time stationary and dependent processes
• On estimating distribution functions using Bernstein polynomials
• Asymptotic properties of Bernstein estimators on the simplex
• A precise local limit theorem for the multinomial distribution and some applications
• Asymptotic normality of a consistent estimator of maximum mean discrepancy in Hilbert space
• Smooth estimation of a distribution and density function on a hypercube using Bernstein polynomials for dependent random vectors
• A bias-reduced approach to density estimation using Bernstein polynomials
• Normal Approximation by Stein’s Method
• Chung–Smirnov property for Bernstein estimators of distribution functions
• Asymptotic Behavior of the Multinomial Dstribution
• On the rates of asymptotic normality for recursive kernel density estimators under ϕ-mixing assumptions

This page was built for publication: On the rates of asymptotic normality for Bernstein polynomial estimators in a triangular array