{"title":"基于最优偏差函数的贝叶斯估计界","authors":"Z. Ben-Haim, Yonina C. Eldar","doi":"10.1109/CAMSAP.2007.4497961","DOIUrl":null,"url":null,"abstract":"We consider the problem of finding a lower bound on the minimum mean-squared error in a Bayesian estimation problem. The bound of Young and Westerberg, which is based on determining the optimal bias function, is extended to the case of a vector parameter. A numerical study demonstrates that the bound is both tighter and simpler to compute than alternative techniques.","PeriodicalId":220687,"journal":{"name":"2007 2nd IEEE International Workshop on Computational Advances in Multi-Sensor Adaptive Processing","volume":"82 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2007-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":"{\"title\":\"A Bayesian Estimation Bound based on the Optimal Bias Function\",\"authors\":\"Z. Ben-Haim, Yonina C. Eldar\",\"doi\":\"10.1109/CAMSAP.2007.4497961\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We consider the problem of finding a lower bound on the minimum mean-squared error in a Bayesian estimation problem. The bound of Young and Westerberg, which is based on determining the optimal bias function, is extended to the case of a vector parameter. A numerical study demonstrates that the bound is both tighter and simpler to compute than alternative techniques.\",\"PeriodicalId\":220687,\"journal\":{\"name\":\"2007 2nd IEEE International Workshop on Computational Advances in Multi-Sensor Adaptive Processing\",\"volume\":\"82 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2007-12-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2007 2nd IEEE International Workshop on Computational Advances in Multi-Sensor Adaptive Processing\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/CAMSAP.2007.4497961\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2007 2nd IEEE International Workshop on Computational Advances in Multi-Sensor Adaptive Processing","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/CAMSAP.2007.4497961","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
A Bayesian Estimation Bound based on the Optimal Bias Function
We consider the problem of finding a lower bound on the minimum mean-squared error in a Bayesian estimation problem. The bound of Young and Westerberg, which is based on determining the optimal bias function, is extended to the case of a vector parameter. A numerical study demonstrates that the bound is both tighter and simpler to compute than alternative techniques.