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

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dc.contributor.authorAkgül, Fatma Gül
dc.contributor.authorŞenoğlu, Birdal
dc.date.accessioned2025-07-07T11:39:14Z
dc.date.available2025-07-07T11:39:14Z
dc.date.issued2017
dc.departmentAÇÜ, Mühendislik Fakültesi, Bilgisayar Mühendisliği Bölümü
dc.description.abstractIn statistical literature, estimation of R=P(X < Y) is a commonly-investigated problem, and consequently, there have been considerable number of studies dealing with its estimation of it under simple random sampling (SRS). However, in recent years, the ranked set sampling (RSS) method have been widely-used in the estimation of R. In this study, we consider the estimation of R when the distribution of the both stress and strength are Weibull under the modification of RSS, which are extreme ranked set sampling (ERSS), median ranked set sampling (MRSS) and percentile ranked set sampling (PRSS). We obtain the estimators of R using the maximum likelihood (ML) and the modified maximum likelihood (MML) methodologies under these modifications. Then the performances of proposed estimators are compared with the corresponding ML and MML estimators of R using SRS via a Monte-Carlo simulation study.
dc.identifier.doi10.18187/pjsor.v13i4.2056
dc.identifier.endpage958
dc.identifier.issn18162711
dc.identifier.issue4
dc.identifier.scopusqualityQ2
dc.identifier.startpage931
dc.identifier.urihttps://hdl.handle.net/11494/5680
dc.identifier.volume13
dc.identifier.wosWOS:000423943700015
dc.identifier.wosqualityQ3
dc.indekslendigikaynakScopus
dc.indekslendigikaynakWeb of Science
dc.institutionauthorAkgül, Fatma Gül
dc.language.isoen
dc.publisherUniversity of the Punjab
dc.relation.ispartofPakistan Journal of Statistics and Operation Research
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/openAccess
dc.subjectEfficiency
dc.subjectExtreme ranked set sampling
dc.subjectMedian ranked set sampling
dc.subjectPercentile ranked set sampling
dc.subjectStress-strength model
dc.titleEstimation of P(X < Y) using some modifications of ranked set sampling for Weibull distribution
dc.typeArticle

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