On Estimation of R = P(Y < X) for Exponential Distribution Under Progressive Type-ii Censoring

dc.contributor.authorSaraçoğlu, Buğra
dc.contributor.authorKınacı, İsmail
dc.contributor.authorKundu, Debasis
dc.date.accessioned2020-03-26T18:30:57Z
dc.date.available2020-03-26T18:30:57Z
dc.date.issued2012
dc.departmentSelçuk Üniversitesien_US
dc.description.abstractThis paper deals with the estimation of the stress-strength parameter R = P(Y < X), when X and Y are independent exponential random variables, and the data obtained from both distributions are progressively type-II censored. The uniformly minimum variance unbiased estimator and the maximum-likelihood estimator (MLE) are obtained for the stress-strength parameter. Based on the exact distribution of the MLE of R, an exact confidence interval of R has been obtained. Bayes estimate of R and the associated credible interval are also obtained under the assumption of independent inverse gamma priors. An extensive computer simulation is used to compare the performances of the proposed estimators. One data analysis has been performed for illustrative purpose.en_US
dc.description.sponsorshipDepartment of Science and Technology, Government of IndiaDepartment of Science & Technology (India)en_US
dc.description.sponsorshipThe authors would like to thank the two unknown referees and the associate editor for their valuable comments which had helped to improve the paper significantly. Part of the work of the third author has been supported by a grant from the Department of Science and Technology, Government of India.en_US
dc.identifier.citationSaraçoğlu, B., Kınacı, İ., Kundu, D., (2012), On Estimation of R = P(Y < X) for Exponential Distribution Under Progressive Type-ii Censoring. Journal of Statistical Computation and Simulation, 82(5), 729-744. http://dx.doi.org/10.1080/00949655.2010.551772
dc.identifier.doi10.1080/00949655.2010.551772en_US
dc.identifier.endpage744en_US
dc.identifier.issn0094-9655en_US
dc.identifier.issue5en_US
dc.identifier.scopusqualityQ2en_US
dc.identifier.startpage729en_US
dc.identifier.urihttps://dx.doi.org/10.1080/00949655.2010.551772
dc.identifier.urihttps://hdl.handle.net/20.500.12395/28267
dc.identifier.volume82en_US
dc.identifier.wosWOS:000303235400005en_US
dc.identifier.wosqualityQ3en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.institutionauthorSaraçoğlu, Buğra
dc.institutionauthorKınacı, İsmail
dc.language.isoenen_US
dc.publisherTaylor & Francis Ltden_US
dc.relation.ispartofJournal of Statistical Computation and Simulationen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.selcuk20240510_oaigen_US
dc.subjectmaximum-likelihood estimatoren_US
dc.subjectuniformly minimum variance unbiased estimatoren_US
dc.subjectconfidence intervalsen_US
dc.subjectBayes estimatoren_US
dc.subjectprior distributionen_US
dc.subjectposterior analysisen_US
dc.subjectcredible intervalsen_US
dc.titleOn Estimation of R = P(Y < X) for Exponential Distribution Under Progressive Type-ii Censoringen_US
dc.typeArticleen_US

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