Wavelet thresholding estimation of density derivatives from a negatively associated size-biased sample-Reference-Cited by-同舟云学术

Wavelet thresholding estimation of density derivatives from a negatively associated size-biased sample

Published:2020-02-12 Issue:03 Volume:18 Page:2050016
ISSN:0219-6913
Container-title:International Journal of Wavelets, Multiresolution and Information Processing
language:en
Short-container-title:Int. J. Wavelets Multiresolut Inf. Process.

Author:

Xu Junlian¹

Affiliation:

1. Department of Mathematics, Baoji University of Arts and Sciences, Baoji 721013, P. R. China

Abstract

This paper considers wavelet estimation for density derivatives based on negatively associated and size-biased data. We provide upper bounds of nonlinear wavelet estimator on [Formula: see text] risk. It turns out that the convergence rate of the nonlinear estimator is better than that of the linear one.

Funder

the National Natural Science Foundation of China

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Information Systems,Signal Processing

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0219691320500162

Reference16 articles.

1. Positive dependence in multivariate distributions

2. Wavelet Based Estimation of the Derivatives of a Density for a Negatively Associated Process

3. Wavelet block thresholding for density estimation in the presence of bias

4. Wavelet linear density estimation for associated stratified size-biased sample

5. Ten Lectures on Wavelets

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