{"title":"系统可靠性参数的贝叶斯估计和层次贝叶斯估计","authors":"Jianhua Wang, Dan Li, Difang Chen","doi":"10.1016/j.sepro.2011.11.031","DOIUrl":null,"url":null,"abstract":"<div><p>This paper discusses the property of Bayesian estimation and E Bayesian estimation of the system reliability parameter with the zero-failure date. We give the mathematical proof of that the E Bayesian estimation of Pascal distribution's parameter is asymptotic equal to its hierarchical Bayesian estimation and E Bayesian estimation of Pascal distribution's parameter is smaller than its hierarchical Bayesian estimation.</p></div>","PeriodicalId":101207,"journal":{"name":"Systems Engineering Procedia","volume":"3 ","pages":"Pages 282-289"},"PeriodicalIF":0.0000,"publicationDate":"2012-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/j.sepro.2011.11.031","citationCount":"19","resultStr":"{\"title\":\"E Bayesian Estimation and Hierarchical Bayesian Estimation of the System Reliability Parameter\",\"authors\":\"Jianhua Wang, Dan Li, Difang Chen\",\"doi\":\"10.1016/j.sepro.2011.11.031\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>This paper discusses the property of Bayesian estimation and E Bayesian estimation of the system reliability parameter with the zero-failure date. We give the mathematical proof of that the E Bayesian estimation of Pascal distribution's parameter is asymptotic equal to its hierarchical Bayesian estimation and E Bayesian estimation of Pascal distribution's parameter is smaller than its hierarchical Bayesian estimation.</p></div>\",\"PeriodicalId\":101207,\"journal\":{\"name\":\"Systems Engineering Procedia\",\"volume\":\"3 \",\"pages\":\"Pages 282-289\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2012-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"https://sci-hub-pdf.com/10.1016/j.sepro.2011.11.031\",\"citationCount\":\"19\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Systems Engineering Procedia\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://www.sciencedirect.com/science/article/pii/S2211381911001846\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Systems Engineering Procedia","FirstCategoryId":"1085","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S2211381911001846","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
E Bayesian Estimation and Hierarchical Bayesian Estimation of the System Reliability Parameter
This paper discusses the property of Bayesian estimation and E Bayesian estimation of the system reliability parameter with the zero-failure date. We give the mathematical proof of that the E Bayesian estimation of Pascal distribution's parameter is asymptotic equal to its hierarchical Bayesian estimation and E Bayesian estimation of Pascal distribution's parameter is smaller than its hierarchical Bayesian estimation.
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