{"title":"分层计数数据的贝叶斯收缩估计","authors":"Hamura, Yasuyuki","doi":"10.1007/s42081-023-00224-z","DOIUrl":null,"url":null,"abstract":"In this short note, we consider the problem of estimating multivariate hypergeometric parameters under squared error loss when side information in aggregated data is available. We use the symmetric multinomial prior to obtain Bayes estimators. It is shown that by incorporating the side information, we can construct an improved estimator.","PeriodicalId":29911,"journal":{"name":"Japanese Journal of Statistics and Data Science","volume":"4 23","pages":"0"},"PeriodicalIF":1.1000,"publicationDate":"2023-11-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"2","resultStr":"{\"title\":\"Bayesian shrinkage estimation for stratified count data\",\"authors\":\"Hamura, Yasuyuki\",\"doi\":\"10.1007/s42081-023-00224-z\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this short note, we consider the problem of estimating multivariate hypergeometric parameters under squared error loss when side information in aggregated data is available. We use the symmetric multinomial prior to obtain Bayes estimators. It is shown that by incorporating the side information, we can construct an improved estimator.\",\"PeriodicalId\":29911,\"journal\":{\"name\":\"Japanese Journal of Statistics and Data Science\",\"volume\":\"4 23\",\"pages\":\"0\"},\"PeriodicalIF\":1.1000,\"publicationDate\":\"2023-11-14\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"2\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Japanese Journal of Statistics and Data Science\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1007/s42081-023-00224-z\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q3\",\"JCRName\":\"STATISTICS & PROBABILITY\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Japanese Journal of Statistics and Data Science","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1007/s42081-023-00224-z","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"STATISTICS & PROBABILITY","Score":null,"Total":0}
Bayesian shrinkage estimation for stratified count data
In this short note, we consider the problem of estimating multivariate hypergeometric parameters under squared error loss when side information in aggregated data is available. We use the symmetric multinomial prior to obtain Bayes estimators. It is shown that by incorporating the side information, we can construct an improved estimator.