{"title":"一类泛化 U 经验过程的极限定理","authors":"Salim Bouzebda, Inass Soukarieh","doi":"10.1080/17442508.2024.2320402","DOIUrl":null,"url":null,"abstract":"In this paper, we develop theory and tools for studying U-processes, a natural higher-order generalization of the empirical processes. We introduce a class of random discrete U-measures that genera...","PeriodicalId":501524,"journal":{"name":"Stochastics","volume":"23 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-03-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Limit theorems for a class of processes generalizing the U-empirical process\",\"authors\":\"Salim Bouzebda, Inass Soukarieh\",\"doi\":\"10.1080/17442508.2024.2320402\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper, we develop theory and tools for studying U-processes, a natural higher-order generalization of the empirical processes. We introduce a class of random discrete U-measures that genera...\",\"PeriodicalId\":501524,\"journal\":{\"name\":\"Stochastics\",\"volume\":\"23 1\",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2024-03-12\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Stochastics\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1080/17442508.2024.2320402\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Stochastics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1080/17442508.2024.2320402","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
摘要
在本文中,我们开发了研究 U 过程的理论和工具,U 过程是经验过程的自然高阶概括。我们引入了一类随机离散的 U-度量,这些度量产生...
Limit theorems for a class of processes generalizing the U-empirical process
In this paper, we develop theory and tools for studying U-processes, a natural higher-order generalization of the empirical processes. We introduce a class of random discrete U-measures that genera...