{"title":"Smooth kernel estimators of the hazard rate function and its first and second derivatives","authors":"I. Fuks, G. Koshkin","doi":"10.1109/DT.2016.7557164","DOIUrl":null,"url":null,"abstract":"A class of nonparametric kernel estimators is suggested for an unknown hazard rate function and its derivatives. Both weak and mean square convergence of the proposed estimators to the unknown hazard function and its derivatives are proved. These estimators can be used for solving the problems of operational reliability of complex physical, technical, and program systems under uncertainty conditions.","PeriodicalId":281446,"journal":{"name":"2016 International Conference on Information and Digital Technologies (IDT)","volume":"15 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2016-07-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"2016 International Conference on Information and Digital Technologies (IDT)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/DT.2016.7557164","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
A class of nonparametric kernel estimators is suggested for an unknown hazard rate function and its derivatives. Both weak and mean square convergence of the proposed estimators to the unknown hazard function and its derivatives are proved. These estimators can be used for solving the problems of operational reliability of complex physical, technical, and program systems under uncertainty conditions.