The stochastic convergence of Bernstein polynomial estimators in a triangular array-Reference-Cited by-同舟云学术

The stochastic convergence of Bernstein polynomial estimators in a triangular array

Published:2022-08-05 Issue:4 Volume:34 Page:987-1014
ISSN:1048-5252
Container-title:Journal of Nonparametric Statistics
language:en
Short-container-title:Journal of Nonparametric Statistics

Author:

Lu Dawei¹²,Wang Lina¹,Yang Jingcai¹

Affiliation:

1. School of Mathematical Sciences, Dalian University of Technology, Dalian, People's Republic of China

2. Key Laboratory for Computational Mathematics and Data Intelligence of Liaoning Province Dalian, Dalian University of Technology, Dalian, People's Republic of China

Funder

Dalian High-level Talent Innovation Project

Publisher

Informa UK Limited

Subject

Statistics, Probability and Uncertainty,Statistics and Probability

Link

https://www.tandfonline.com/doi/pdf/10.1080/10485252.2022.2107643

Reference34 articles.

1. Application of Bernstein Polynomials for smooth estimation of a distribution and density function

2. Smooth estimation of a distribution and density function on a hypercube using Bernstein polynomials for dependent random vectors

3. On the asymptotic properties of the Bernstein estimator of the multivariate distribution function

4. Justification and Extension of Doob's Heuristic Approach to the Kolmogorov- Smirnov Theorems

5. Heuristic Approach to the Kolmogorov-Smirnov Theorems

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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