{"title":"The Berry-Esseen bound of a wavelet estimator in non-randomly designed nonparametric regression model based on ANA errors","authors":"Xu-fei Tang, Xuejun Wang, Yi Wu, Fei Zhang","doi":"10.1051/PS/2019017","DOIUrl":null,"url":null,"abstract":"Consider the nonparametric regression model Y ni = g (t ni ) + e i , i = 1, 2, …, n , n ≥ 1, where e i , 1 ≤ i ≤ n , are asymptotically negatively associated (ANA, for short) random variables. Under some appropriate conditions, the Berry-Esseen bound of the wavelet estimator of g (⋅) is established. In addition, some numerical simulations are provided in this paper. The results obtained in this paper generalize some corresponding ones in the literature.","PeriodicalId":0,"journal":{"name":"","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2020-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.1051/PS/2019017","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 1
Abstract
Consider the nonparametric regression model Y ni = g (t ni ) + e i , i = 1, 2, …, n , n ≥ 1, where e i , 1 ≤ i ≤ n , are asymptotically negatively associated (ANA, for short) random variables. Under some appropriate conditions, the Berry-Esseen bound of the wavelet estimator of g (⋅) is established. In addition, some numerical simulations are provided in this paper. The results obtained in this paper generalize some corresponding ones in the literature.
分享
京公网安备 11010802042870号
京ICP备2023020795号-1
求助内容：
应助结果提醒方式：
扫码关注我们
