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dc.contributor.authorArslan, Talhaen_US
dc.contributor.authorAcıtaş, Şükrüen_US
dc.contributor.authorŞenoğlu, Birdalen_US
dc.date.accessioned2020-11-17T13:06:23Z
dc.date.available2020-11-17T13:06:23Z
dc.date.issued2020
dc.identifier.citationArslan, T., Acıtaş, Ş. & Şenoğlu, B. (2020). Estimation of the location and scale parameters of moyal distribution. TWMS Journal of Applied and Engineering Mathematics, 10(4), 1135-1144.en_US
dc.identifier.issn2146-1147en_US
dc.identifier.issn2587-1013en_US
dc.identifier.urihttp://belgelik.isikun.edu.tr/xmlui/handle/iubelgelik/2910
dc.identifier.urihttp://jaem.isikun.edu.tr/web/index.php/archive/108-vol10no4/622
dc.description.abstractIn this study, we estimate the parameters of the Moyal distribution by using well-known and widely-used maximum likelihood (ML) and method of moments (MoM) methodologies. The ML estimators of the location and scale parameters of the Moyal distribution cannot be obtained in closed forms therefore iterative methods should be utilized. To make the study complete, modifed ML (MML) estimators for the location and the scale parameters of the Moyal distribution are also derived. The MML estimators are in closed forms and asymptotically equivalent to the ML estimators. Efficiencies of the MML estimators are compared with their ML and MoM counterparts using Monte-Carlo (MC) simulation study. Results of the simulation study show that the ML estimators are more efficient than the MML and MoM estimators for small sample sizes. However when the sample size increases performances of the ML and MML estimators are almost same in terms of the Defficiency (Def) criterion as expected. At the end of the study, a real data set is used to show the implementation of the methodology developed in this paper.en_US
dc.language.isoenen_US
dc.publisherIşık University Pressen_US
dc.relation.ispartofTWMS Journal of Applied and Engineering Mathematicsen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.rightsAttribution-NonCommercial-NoDerivs 3.0 United States*
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/3.0/us/*
dc.subjectMoyal distributionen_US
dc.subjectMaximum likelihooden_US
dc.subjectModified maximum likelihoden_US
dc.subjectMethod of momentsen_US
dc.subjectEfficiencyen_US
dc.subjectJonesen_US
dc.subjectSkew-normal distributionen_US
dc.subjectScale mixtureen_US
dc.subjectSkewen_US
dc.titleEstimation of the location and scale parameters of moyal distributionen_US
dc.typeArticleen_US
dc.description.versionPublisher's Versionen_US
dc.identifier.volume10
dc.identifier.issue4
dc.identifier.startpage1135
dc.identifier.endpage1144
dc.peerreviewedYesen_US
dc.publicationstatusPublisheden_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Başka Kurum Yazarıen_US


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