On Berry-Esseen bound of wavelet estimators in nonparametric regression model under asymptotically negatively associated assumptions

Abstract

This article is concerned with the estimating problem of nonparametric regression model. Under certain regularity conditions, we derive the Berry-Esseen bound for wavelet estimators of the unknown regression function with asymptotically negatively associated assumptions. Also, we present a numerical simulation study to verify the validity of the results established here.

Keywords:

• Wavelet estimators
• asymptotically negatively associated
• Berry-Esseen bound
• nonparametric regression model

MATHEMATICS SUBJECT CLASSIFICATION (2010):

• 62F12
• 60F15

Acknowledgments

The authors are most grateful to the Editor and the referee for carefully reading the manuscript and the helpful comments which enabled them to improve this article.

Additional information

Funding

This research is supported by the National Natural Science Foundation of China (11271189), Science Foundation of Guangxi Education Department (2019KY0646), 2019 Youth Teacher Research and Development Fund Project of Guangxi University of Finance and Economics (2019QNB07), which is one of the funding that hold by the author from Guangxi University of Finance and Economics.