{"title":"非参数统计的三个经典问题中函数估计的自适应平滑性 非参数统计的三个经典问题中函数估计的自适应平滑性","authors":"M. R. Formica, E. Ostrovsky, L. Sirota","doi":"arxiv-2409.00491","DOIUrl":null,"url":null,"abstract":"We offer in this short report the so-called adaptive functional smoothness\nestimation in the Hilbert space norm sense in the three classical problems of\nnon-parametrical statistic: regression, density and spectral (density) function\nmeasurement (estimation).","PeriodicalId":501379,"journal":{"name":"arXiv - STAT - Statistics Theory","volume":"140 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-08-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Adaptive smoothness of function estimation in the three classical problems of the non-parametrical statistic in the three classical problems of the non-parametrical statistic\",\"authors\":\"M. R. Formica, E. Ostrovsky, L. Sirota\",\"doi\":\"arxiv-2409.00491\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We offer in this short report the so-called adaptive functional smoothness\\nestimation in the Hilbert space norm sense in the three classical problems of\\nnon-parametrical statistic: regression, density and spectral (density) function\\nmeasurement (estimation).\",\"PeriodicalId\":501379,\"journal\":{\"name\":\"arXiv - STAT - Statistics Theory\",\"volume\":\"140 1\",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2024-08-31\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"arXiv - STAT - Statistics Theory\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/arxiv-2409.00491\",\"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 - STAT - Statistics Theory","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/arxiv-2409.00491","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Adaptive smoothness of function estimation in the three classical problems of the non-parametrical statistic in the three classical problems of the non-parametrical statistic
We offer in this short report the so-called adaptive functional smoothness
estimation in the Hilbert space norm sense in the three classical problems of
non-parametrical statistic: regression, density and spectral (density) function
measurement (estimation).
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