{"title":"一类光滑函数的非参数估计","authors":"M. Pawlak, U. Stadtmuller","doi":"10.1109/WITS.1994.513900","DOIUrl":null,"url":null,"abstract":"The problem of recovering bandlimited signals from noisy data is considered. Whittaker-Shannon cardinal expansions based estimates involving sampling windows and truncation of higher frequencies are introduced. Weak and strong pointwise convergence properties of the proposed estimates are derived.","PeriodicalId":423518,"journal":{"name":"Proceedings of 1994 Workshop on Information Theory and Statistics","volume":"87 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1994-10-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"11","resultStr":"{\"title\":\"Nonparametric estimation of a class of smooth functions\",\"authors\":\"M. Pawlak, U. Stadtmuller\",\"doi\":\"10.1109/WITS.1994.513900\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The problem of recovering bandlimited signals from noisy data is considered. Whittaker-Shannon cardinal expansions based estimates involving sampling windows and truncation of higher frequencies are introduced. Weak and strong pointwise convergence properties of the proposed estimates are derived.\",\"PeriodicalId\":423518,\"journal\":{\"name\":\"Proceedings of 1994 Workshop on Information Theory and Statistics\",\"volume\":\"87 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1994-10-27\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"11\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Proceedings of 1994 Workshop on Information Theory and Statistics\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/WITS.1994.513900\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Proceedings of 1994 Workshop on Information Theory and Statistics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/WITS.1994.513900","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Nonparametric estimation of a class of smooth functions
The problem of recovering bandlimited signals from noisy data is considered. Whittaker-Shannon cardinal expansions based estimates involving sampling windows and truncation of higher frequencies are introduced. Weak and strong pointwise convergence properties of the proposed estimates are derived.
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