{"title":"无限维高斯白噪声中的若干估计问题","authors":"I. Ibragimov, R. Khasminskii","doi":"10.1109/WITS.1994.513872","DOIUrl":null,"url":null,"abstract":"Methods of the information theory and approximation theory are used to obtain the conditions for the existence of consistent estimators for the observations in a Gaussian white noise in a Hilbert space.","PeriodicalId":423518,"journal":{"name":"Proceedings of 1994 Workshop on Information Theory and Statistics","volume":"7 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1994-10-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"18","resultStr":"{\"title\":\"Some estimation problems in infinite dimensional Gaussian white noise\",\"authors\":\"I. Ibragimov, R. Khasminskii\",\"doi\":\"10.1109/WITS.1994.513872\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Methods of the information theory and approximation theory are used to obtain the conditions for the existence of consistent estimators for the observations in a Gaussian white noise in a Hilbert space.\",\"PeriodicalId\":423518,\"journal\":{\"name\":\"Proceedings of 1994 Workshop on Information Theory and Statistics\",\"volume\":\"7 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1994-10-27\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"18\",\"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.1994.513872\",\"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.1994.513872","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Some estimation problems in infinite dimensional Gaussian white noise
Methods of the information theory and approximation theory are used to obtain the conditions for the existence of consistent estimators for the observations in a Gaussian white noise in a Hilbert space.
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