{"title":"流形和与算子相关的更一般度量空间上核条件 U 统计估计子的 Oracle 不等式和上界","authors":"Salim Bouzebda, Nourelhouda Taachouche","doi":"10.1080/17442508.2024.2391898","DOIUrl":null,"url":null,"abstract":"U-statistics represent a fundamental class of statistics that emerge from modelling quantities of interest defined by multi-subject responses. These statistics generalize the empirical mean of a ra...","PeriodicalId":501524,"journal":{"name":"Stochastics","volume":"72 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-08-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Oracle inequalities and upper bounds for kernel conditional U-statistics estimators on manifolds and more general metric spaces associated with operators\",\"authors\":\"Salim Bouzebda, Nourelhouda Taachouche\",\"doi\":\"10.1080/17442508.2024.2391898\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"U-statistics represent a fundamental class of statistics that emerge from modelling quantities of interest defined by multi-subject responses. These statistics generalize the empirical mean of a ra...\",\"PeriodicalId\":501524,\"journal\":{\"name\":\"Stochastics\",\"volume\":\"72 1\",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2024-08-20\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Stochastics\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1080/17442508.2024.2391898\",\"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/10.1080/17442508.2024.2391898","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
U 统计量代表了一类基本的统计量，这些统计量产生于对多受试者反应所定义的感兴趣的量进行建模。这些统计量概括了多受试者反应的经验平均值。
Oracle inequalities and upper bounds for kernel conditional U-statistics estimators on manifolds and more general metric spaces associated with operators
U-statistics represent a fundamental class of statistics that emerge from modelling quantities of interest defined by multi-subject responses. These statistics generalize the empirical mean of a ra...
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