{"title":"一些分布族P{x < y}的最优无偏估计","authors":"M. Obradović, Milan Jovanović, B. Milošević","doi":"10.51936/smem2126","DOIUrl":null,"url":null,"abstract":"In reliability theory, one of the main problems is estimating parameter \\(R = P\\{X < Y\\}\\). In this paper we shall present UMVUEs for \\(R\\) in different cases i.e. for different distributions of \\(X\\) and \\(Y\\). Some of them are already existing and some are original.","PeriodicalId":242585,"journal":{"name":"Advances in Methodology and Statistics","volume":"122 48","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2014-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"3","resultStr":"{\"title\":\"Optimal unbiased estimates of P{x < y} for some families of distributions\",\"authors\":\"M. Obradović, Milan Jovanović, B. Milošević\",\"doi\":\"10.51936/smem2126\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In reliability theory, one of the main problems is estimating parameter \\\\(R = P\\\\{X < Y\\\\}\\\\). In this paper we shall present UMVUEs for \\\\(R\\\\) in different cases i.e. for different distributions of \\\\(X\\\\) and \\\\(Y\\\\). Some of them are already existing and some are original.\",\"PeriodicalId\":242585,\"journal\":{\"name\":\"Advances in Methodology and Statistics\",\"volume\":\"122 48\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2014-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"3\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Advances in Methodology and Statistics\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.51936/smem2126\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Advances in Methodology and Statistics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.51936/smem2126","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Optimal unbiased estimates of P{x < y} for some families of distributions
In reliability theory, one of the main problems is estimating parameter \(R = P\{X < Y\}\). In this paper we shall present UMVUEs for \(R\) in different cases i.e. for different distributions of \(X\) and \(Y\). Some of them are already existing and some are original.