Estimation of P(X < Y) using ranked set sampling for the Weibull distribution

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dc.contributor.authorAkgül, Fatma Gül
dc.contributor.authorŞenoğlu, Birdal
dc.date.accessioned2021-04-28T08:20:25Z
dc.date.available2021-04-28T08:20:25Z
dc.date.issued2017
dc.departmentAÇÜ, Mühendislik Fakültesi, Bilgisayar Mühendisliği Bölümüen_US
dc.description.abstractThis paper deals with making inferences regarding system reliability R = P(X < Y) when the distribution of the stress X and the strength Y are independent Weibull. In the literature, estimators based on simple random sampling (SRS) are widely used in estimating R. However, in recent years, ranked set sampling (RSS) has become popular in performing statistical inference. We, therefore, obtain the estimators of R based on RSS using maximum likelihood (ML) and modified maximum likelihood (MML) methodologies. The performances of the proposed estimators are compared with their counterparts based on SRS using Monte Carlo simulation. The simulation results show that the proposed estimators are more preferable than the estimators based on SRS in terms of efficiency. In addition, under the assumption of imperfect ranking the efficiencies of the ML and the MML estimators of R, based on RSS, are compared and the ML estimator of R is found to be more efficient. Finally, a real data-set is analysed to demonstrate the implementation of the proposed estimators at the end of the paper.
dc.identifier.citationAkgül, F. G., & Şenoğlu, B. (2017). Estimation of P (X< Y) using ranked set sampling for the Weibull distribution. Quality Technology & Quantitative Management, 14(3), 296-309.en_US
dc.identifier.doi10.1080/16843703.2016.1226590
dc.identifier.endpage309en_US
dc.identifier.issue3en_US
dc.identifier.scopusqualityN/A
dc.identifier.startpage296en_US
dc.identifier.urihttps://hdl.handle.net/11494/3174
dc.identifier.volume14en_US
dc.identifier.wosqualityN/A
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.institutionauthorAkgül, Fatma Gül
dc.language.isoenen_US
dc.publisherNCTU- National Chiao Tung University Pressen_US
dc.relation.ispartofQuality Technology & Quantitative Management
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectStress-strength modelen_US
dc.subjectRanked set samplingen_US
dc.subjectModified maximum likelihooden_US
dc.subjectImperfect rankien_US
dc.subjectEfficiencyen_US
dc.subjectWeibullen_US
dc.titleEstimation of P(X < Y) using ranked set sampling for the Weibull distributionen_US
dc.typeArticle

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