On Berry-Esseen bound of wavelet estimators in nonparametric regression model under asymptotically negatively associated assumptions. Issue 3 (9th March 2020)

• Record Type: Journal Article
• Authors: Ding, Liwang; Yao, Shengwei; Chen, Ping
• Is Part Of: Communications in statistics. Volume 51:Issue 3(2022)
• Page Start: 924
• Page End: 940
• Publication Date: 2020-03-09
• Subjects: Wavelet estimators -- asymptotically negatively associated -- Berry-Esseen bound -- nonparametric regression model; 62F12 -- 60F15; Mathematical statistics -- Periodicals; Mathematical statistics -- Data processing -- Periodicals; Digital computer simulation -- Periodicals; 519.5
• DOI: 10.1080/03610918.2019.1659966
• Languages: English
• ISSNs: 0361-0918

Abstract

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.