{"title":"A New Two Sample Generalized Type-II Hybrid Censoring Scheme","authors":"O. Abo-Kasem, A. Elshahhat","doi":"10.1080/01966324.2021.1946666","DOIUrl":null,"url":null,"abstract":"Abstract Generalized hybrid censoring schemes, proposed by Chandrasekar et al. (Naval Research Logistics, 51(7), 994–1004, 2004), have several advantages over the conventional hybrid censoring schemes. In this paper, we introduce a new generalized Type-II hybrid censoring scheme for two samples. The maximum likelihood and Bayesian inferential approaches for estimating the unknown mean lifetimes of the experimental units for the two samples follow exponential population with different scale parameters are considered. The corresponding asymptotic confidence intervals of the maximum likelihood estimators are also obtained. Using gamma conjugate priors, the Bayes estimators are developed relative to both symmetric and asymmetric loss functions. Also, some popular censoring plans are generalized and can be obtained as a special cases from our results. One real-life data set is analyzed to discuss how the applicability of the proposed methods in real phenomenon. Finally, to examine the performance of proposed methods, a Monte Carlo simulation study is carried out.","PeriodicalId":35850,"journal":{"name":"American Journal of Mathematical and Management Sciences","volume":"41 1","pages":"170 - 184"},"PeriodicalIF":0.0000,"publicationDate":"2021-07-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1080/01966324.2021.1946666","citationCount":"1","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"American Journal of Mathematical and Management Sciences","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1080/01966324.2021.1946666","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"Business, Management and Accounting","Score":null,"Total":0}
引用次数: 1
Abstract
Abstract Generalized hybrid censoring schemes, proposed by Chandrasekar et al. (Naval Research Logistics, 51(7), 994–1004, 2004), have several advantages over the conventional hybrid censoring schemes. In this paper, we introduce a new generalized Type-II hybrid censoring scheme for two samples. The maximum likelihood and Bayesian inferential approaches for estimating the unknown mean lifetimes of the experimental units for the two samples follow exponential population with different scale parameters are considered. The corresponding asymptotic confidence intervals of the maximum likelihood estimators are also obtained. Using gamma conjugate priors, the Bayes estimators are developed relative to both symmetric and asymmetric loss functions. Also, some popular censoring plans are generalized and can be obtained as a special cases from our results. One real-life data set is analyzed to discuss how the applicability of the proposed methods in real phenomenon. Finally, to examine the performance of proposed methods, a Monte Carlo simulation study is carried out.
摘要Chandrasekar等人提出的广义混合审查方案(Naval Research Logistics,51(7),994–10042004)与传统的混合审查方案相比具有几个优点。在本文中,我们介绍了一种新的两个样本的广义II型混合截尾方案。考虑了估计两个样本的实验单元未知平均寿命的最大似然和贝叶斯推理方法,这些方法遵循不同尺度参数的指数总体。给出了最大似然估计量的渐近置信区间。使用伽马共轭先验,相对于对称和非对称损失函数开发了贝叶斯估计量。此外,我们还推广了一些流行的审查方案,并将其作为特例从我们的结果中得到。分析了一个真实的数据集,讨论了所提出的方法在真实现象中的适用性。最后,为了检验所提出的方法的性能,进行了蒙特卡罗模拟研究。