{"title":"两类情况下多维贝叶斯阈值的ebc估计","authors":"O. Kubaychuk","doi":"10.2991/jsta.d.200824.001","DOIUrl":null,"url":null,"abstract":"Themodel of amixture of several probability distributions wasmentioned for the first time byNewcomb [1] and Pearson [2]. Suchmixtures naturally arise inmany areas. In particular, in the theory of reliability and time of life,mixtures of gammadistributions [3] are used. Examples of the use of mixtures of normal distributions in the processing of biological and physiological data are given in [4]. In Slud [5], a mixture of two exponential distributions is used to describe the debugging process of the software. Some applications of the model of mixtures in medical diagnostics were given in [6,7].","PeriodicalId":45080,"journal":{"name":"Journal of Statistical Theory and Applications","volume":null,"pages":null},"PeriodicalIF":1.0000,"publicationDate":"2020-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":"{\"title\":\"EBC-Estimator of Multidimensional Bayesian Threshold in Case of Two Classes\",\"authors\":\"O. Kubaychuk\",\"doi\":\"10.2991/jsta.d.200824.001\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Themodel of amixture of several probability distributions wasmentioned for the first time byNewcomb [1] and Pearson [2]. Suchmixtures naturally arise inmany areas. In particular, in the theory of reliability and time of life,mixtures of gammadistributions [3] are used. Examples of the use of mixtures of normal distributions in the processing of biological and physiological data are given in [4]. In Slud [5], a mixture of two exponential distributions is used to describe the debugging process of the software. Some applications of the model of mixtures in medical diagnostics were given in [6,7].\",\"PeriodicalId\":45080,\"journal\":{\"name\":\"Journal of Statistical Theory and Applications\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":1.0000,\"publicationDate\":\"2020-09-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Journal of Statistical Theory and Applications\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.2991/jsta.d.200824.001\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q3\",\"JCRName\":\"Mathematics\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Statistical Theory and Applications","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.2991/jsta.d.200824.001","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"Mathematics","Score":null,"Total":0}
EBC-Estimator of Multidimensional Bayesian Threshold in Case of Two Classes
Themodel of amixture of several probability distributions wasmentioned for the first time byNewcomb [1] and Pearson [2]. Suchmixtures naturally arise inmany areas. In particular, in the theory of reliability and time of life,mixtures of gammadistributions [3] are used. Examples of the use of mixtures of normal distributions in the processing of biological and physiological data are given in [4]. In Slud [5], a mixture of two exponential distributions is used to describe the debugging process of the software. Some applications of the model of mixtures in medical diagnostics were given in [6,7].