Statistical inference of stress-strength reliability for the exponential power (EP) distribution based on progressive type-II censored samples

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dc.contributor.authorAkdam, Neriman
dc.contributor.authorKinaci, Ismail
dc.contributor.authorSaracoglu, Bugra
dc.date.accessioned2020-03-26T19:42:41Z
dc.date.available2020-03-26T19:42:41Z
dc.date.issued2017
dc.departmentSelçuk Üniversitesien_US
dc.description.abstractSuppose that X represents the stress which is applied to a component and Y is strength of this component. Let X and Y have Exponential Power (EP) distribution with (alpha(1), beta(1)) and (alpha(2), beta(2)) parameters, respectively. In this case, stress-strength reliability (SSR) is shown by P = P (X < Y). In this study, the SSR for EP distribution are obtained with numerical methods. Also maximum likelihood estimate (MLE) and approximate bayes estimates by using Lindley approximation method under squared-error loss function for SSR under progressive type-II censoring are obtained. Moreover, performances of these estimators are compared in terms of MSEs by using Monte Carlo simulation. Furthermore coverage probabilities of parametric bootstrap estimates are computed. Finally, real data analysis is presented.en_US
dc.identifier.doi10.15672/HJMS.2017.408en_US
dc.identifier.endpage253en_US
dc.identifier.issn1303-5010en_US
dc.identifier.issue2en_US
dc.identifier.scopusqualityQ3en_US
dc.identifier.startpage239en_US
dc.identifier.urihttps://dx.doi.org/10.15672/HJMS.2017.408
dc.identifier.urihttps://hdl.handle.net/20.500.12395/35494
dc.identifier.volume46en_US
dc.identifier.wosWOS:000400349400008en_US
dc.identifier.wosqualityQ3en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.indekslendigikaynakTR-Dizinen_US
dc.language.isoenen_US
dc.publisherHACETTEPE UNIV, FAC SCIen_US
dc.relation.ispartofHACETTEPE JOURNAL OF MATHEMATICS AND STATISTICSen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.selcuk20240510_oaigen_US
dc.subjectMaximum likelihood estimationen_US
dc.subjectBayes estimationen_US
dc.subjectExponential Power distributionen_US
dc.subjectLindley's approximationen_US
dc.subjectMonte Carlo simulationen_US
dc.subjectBootstrap estimationen_US
dc.titleStatistical inference of stress-strength reliability for the exponential power (EP) distribution based on progressive type-II censored samplesen_US
dc.typeArticleen_US

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