{"title":"二项分布中未知参数估计量损失的贝叶斯估计","authors":"Randhir Singh","doi":"10.34257/gjsfrfvol22is4pg37","DOIUrl":null,"url":null,"abstract":"This paper aims at the Bayesian estimation for the loss and risk functions of the unknown parameter of the binomial distribution under the loss function which is different from that given by Rukhin (1988). The estimation involves beta distribution, a natural conjugate prior density function for the unknown parameter. Estimators obtained are conservatively biased and have finite frequentist risk.","PeriodicalId":12547,"journal":{"name":"Global Journal of Science Frontier Research","volume":"14 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2022-11-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"On Baysian Estimation of Loss of Estimators of Unknown Parameter of Binomial Distribution\",\"authors\":\"Randhir Singh\",\"doi\":\"10.34257/gjsfrfvol22is4pg37\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"This paper aims at the Bayesian estimation for the loss and risk functions of the unknown parameter of the binomial distribution under the loss function which is different from that given by Rukhin (1988). The estimation involves beta distribution, a natural conjugate prior density function for the unknown parameter. Estimators obtained are conservatively biased and have finite frequentist risk.\",\"PeriodicalId\":12547,\"journal\":{\"name\":\"Global Journal of Science Frontier Research\",\"volume\":\"14 1\",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2022-11-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Global Journal of Science Frontier Research\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.34257/gjsfrfvol22is4pg37\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Global Journal of Science Frontier Research","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.34257/gjsfrfvol22is4pg37","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
On Baysian Estimation of Loss of Estimators of Unknown Parameter of Binomial Distribution
This paper aims at the Bayesian estimation for the loss and risk functions of the unknown parameter of the binomial distribution under the loss function which is different from that given by Rukhin (1988). The estimation involves beta distribution, a natural conjugate prior density function for the unknown parameter. Estimators obtained are conservatively biased and have finite frequentist risk.
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