{"title":"Bayesian \"Confidence Intervals\" for the Cross-validated Smoothing Spline","authors":"G. Wahba","doi":"10.1111/J.2517-6161.1983.TB01239.X","DOIUrl":null,"url":null,"abstract":"SUMMARY We consider the model Y(t) =g(ti) + ei, i = 17 2, . . ., n, where g(t), t [0, 1] is a smooth function and the {ei) are independent N(0, a2 ) errors with G2 unknown. The cross-validated smoothing spline can be used to estimate g non-parametrically from","PeriodicalId":17425,"journal":{"name":"Journal of the royal statistical society series b-methodological","volume":"39 1","pages":"133-150"},"PeriodicalIF":0.0000,"publicationDate":"1983-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"689","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of the royal statistical society series b-methodological","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1111/J.2517-6161.1983.TB01239.X","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 689
Abstract
SUMMARY We consider the model Y(t) =g(ti) + ei, i = 17 2, . . ., n, where g(t), t [0, 1] is a smooth function and the {ei) are independent N(0, a2 ) errors with G2 unknown. The cross-validated smoothing spline can be used to estimate g non-parametrically from