{"title":"凸m估计的极大不等式及其完全和快速收敛的应用","authors":"Dietmar Ferger","doi":"arxiv-2311.17623","DOIUrl":null,"url":null,"abstract":"We consider M-estimators and derive supremal-inequalities of exponential-or\npolynomial type according as a boundedness- or a moment-condition is fulfilled.\nThis enables us to derive rates of r-complete convergence and also to show\nr-qick convergence in the sense of Strasser.","PeriodicalId":501330,"journal":{"name":"arXiv - MATH - Statistics Theory","volume":"91 6","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2023-11-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Supremal inequalities for convex M-estimators with applications to complete and quick convergence\",\"authors\":\"Dietmar Ferger\",\"doi\":\"arxiv-2311.17623\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We consider M-estimators and derive supremal-inequalities of exponential-or\\npolynomial type according as a boundedness- or a moment-condition is fulfilled.\\nThis enables us to derive rates of r-complete convergence and also to show\\nr-qick convergence in the sense of Strasser.\",\"PeriodicalId\":501330,\"journal\":{\"name\":\"arXiv - MATH - Statistics Theory\",\"volume\":\"91 6\",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2023-11-29\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"arXiv - MATH - Statistics Theory\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/arxiv-2311.17623\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"arXiv - MATH - Statistics Theory","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/arxiv-2311.17623","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Supremal inequalities for convex M-estimators with applications to complete and quick convergence
We consider M-estimators and derive supremal-inequalities of exponential-or
polynomial type according as a boundedness- or a moment-condition is fulfilled.
This enables us to derive rates of r-complete convergence and also to show
r-qick convergence in the sense of Strasser.
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