用变换法估计一类寿命分布的R=Pr(Y>X)

Pub Date : 2021-08-23 DOI:10.13052/JRSS0974-8024.1422

Surinder Kumar, P. Gautam

{"title":"用变换法估计一类寿命分布的R=Pr(Y>X)","authors":"Surinder Kumar, P. Gautam","doi":"10.13052/JRSS0974-8024.1422","DOIUrl":null,"url":null,"abstract":"For a Family of lifetime distributions proposed by Chaturvedi and Singh (2008) [6]. The problem of estimating R(t) = P(X > t), which is dened as the probability that a system survives until time t and R = P(Y > X), which represents the stress-strength model are revisited. In order to obtain the maximum likelihood estimators (MLE'S), uniformly minimum variance unbiased estimators (UMVUS'S), interval estimators and the Bayes estimators for the considered model. The technique of transformation method is used.","PeriodicalId":0,"journal":{"name":"","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2021-08-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Estimation R=Pr(Y>X) for a Family of Lifetime Distributions by Transformation Method\",\"authors\":\"Surinder Kumar, P. Gautam\",\"doi\":\"10.13052/JRSS0974-8024.1422\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"For a Family of lifetime distributions proposed by Chaturvedi and Singh (2008) [6]. The problem of estimating R(t) = P(X > t), which is dened as the probability that a system survives until time t and R = P(Y > X), which represents the stress-strength model are revisited. In order to obtain the maximum likelihood estimators (MLE'S), uniformly minimum variance unbiased estimators (UMVUS'S), interval estimators and the Bayes estimators for the considered model. The technique of transformation method is used.\",\"PeriodicalId\":0,\"journal\":{\"name\":\"\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.0,\"publicationDate\":\"2021-08-23\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.13052/JRSS0974-8024.1422\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.13052/JRSS0974-8024.1422","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}

引用次数: 0

摘要

对于Chaturvedi和Singh(2008)提出的终身分布族[j]。重新研究了估计R(t) = P(X > t)的问题，即系统存活到时间t和R = P(Y > X)的概率，这代表了应力-强度模型。为了得到所考虑模型的极大似然估计量(MLE’s)、一致最小方差无偏估计量(UMVUS’s)、区间估计量和贝叶斯估计量。采用了变换法技术。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文

Estimation R=Pr(Y>X) for a Family of Lifetime Distributions by Transformation Method

For a Family of lifetime distributions proposed by Chaturvedi and Singh (2008) [6]. The problem of estimating R(t) = P(X > t), which is dened as the probability that a system survives until time t and R = P(Y > X), which represents the stress-strength model are revisited. In order to obtain the maximum likelihood estimators (MLE'S), uniformly minimum variance unbiased estimators (UMVUS'S), interval estimators and the Bayes estimators for the considered model. The technique of transformation method is used.

求助全文

通过发布文献求助，成功后即可免费获取论文全文。去求助