Nguyen Tien Dung, Hoang Thi Phuong Thao, Pham Trung Hieu
{"title":"A Berry-Esseen Bound for Nonlinear Statistics with Bounded Differences","authors":"Nguyen Tien Dung, Hoang Thi Phuong Thao, Pham Trung Hieu","doi":"10.19139/soic-2310-5070-1305","DOIUrl":null,"url":null,"abstract":"In this paper, we obtain an explicit Berry-Esseen bound in the central limit theorem for nonlinear statistics with bounded differences. Some examples are provided as well.","PeriodicalId":93376,"journal":{"name":"Statistics, optimization & information computing","volume":"10 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2021-11-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Statistics, optimization & information computing","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.19139/soic-2310-5070-1305","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
In this paper, we obtain an explicit Berry-Esseen bound in the central limit theorem for nonlinear statistics with bounded differences. Some examples are provided as well.