{"title":"BAYES RISKS OF ESTIMATORS OF ESTIMABLE PARAMETERS","authors":"Hajime Yamato, 大和 元","doi":"10.5109/13136","DOIUrl":null,"url":null,"abstract":"For the estimable parameter of degree 2, throughout this paper, we consider 02 with h2 such that h2(x, x) and h2(x, x)=0 for any x, yEX. As estimators of estimable parameters, U-statistics and differentiable statistical functions are well known. (See, for example, Hoeffding (1948) and von Mises (1947).) For an estimable parameter of degree 1, the U-statistic is identical with the differ entiable statistical function, which is given by","PeriodicalId":287765,"journal":{"name":"Bulletin of Mathematical Statistics","volume":"1 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1980-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Bulletin of Mathematical Statistics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.5109/13136","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 1
Abstract
For the estimable parameter of degree 2, throughout this paper, we consider 02 with h2 such that h2(x, x) and h2(x, x)=0 for any x, yEX. As estimators of estimable parameters, U-statistics and differentiable statistical functions are well known. (See, for example, Hoeffding (1948) and von Mises (1947).) For an estimable parameter of degree 1, the U-statistic is identical with the differ entiable statistical function, which is given by