{"title":"Relative error prediction from censored data under α-mixing condition","authors":"S. Khardani, W. Nefzi, C. Thabet","doi":"10.3842/tsp-0731915872-49","DOIUrl":null,"url":null,"abstract":"\nIn this paper, we address the case of a randomly right-censored model when the data exhibit some kind of dependency. We build and study a new nonparametric regression estimator by using the mean squared relative error as a loss function. Under classical conditions, we establish the uniform consistency with rate and asymptotic normality of the estimator suitably normalized. \n","PeriodicalId":38143,"journal":{"name":"Theory of Stochastic Processes","volume":" 2","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-07-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Theory of Stochastic Processes","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.3842/tsp-0731915872-49","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"Mathematics","Score":null,"Total":0}
引用次数: 0
Abstract
In this paper, we address the case of a randomly right-censored model when the data exhibit some kind of dependency. We build and study a new nonparametric regression estimator by using the mean squared relative error as a loss function. Under classical conditions, we establish the uniform consistency with rate and asymptotic normality of the estimator suitably normalized.