On the rates of asymptotic normality for Bernstein density estimators in a triangular array
Author:
Funder
Dalian High-Level Talent Innovation Program
Publisher
Elsevier BV
Subject
Applied Mathematics,Analysis
Reference19 articles.
1. Application of Bernstein polynomials for smooth estimation of a distribution and density function;Babu;J. Stat. Plan. Inference,2002
2. Smooth estimation of a distribution and density function on a hypercube using Bernstein polynomials for dependent random vectors;Babu;Stat. Probab. Lett.,2006
3. Démonstration du théorème de Weierstrass fondée sur le calcul des probabilités;Bernstein;Commun. Soc. Math. Kharkow 2,1912
4. Normal Approximation by Stein's Method;Chen,2011
5. Strong laws for density estimators of Bernstein type;Gawronski;Period. Math. Hung.,1985
Cited by 4 articles. 订阅此论文施引文献 订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献
1. Limit theorems for nonparametric conditional <i>U</i>-statistics smoothed by asymmetric kernels;AIMS Mathematics;2024
2. Application of Bernstein Polynomials on Estimating a Distribution and Density Function in a Triangular Array;Methodology and Computing in Applied Probability;2023-05-31
3. The stochastic convergence of Bernstein polynomial estimators in a triangular array;Journal of Nonparametric Statistics;2022-08-05
4. On the boundary properties of Bernstein estimators on the simplex;Open Statistics;2022-01-01
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