The unit log-log distribution: a new unit distribution with alternative quantile regression modeling and educational measurements applications

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dc.authorid0000-0003-3302-0705en_US
dc.authorid0000-0002-3466-8119en_US
dc.contributor.authorKorkmaz, Mustafa Çağatay
dc.contributor.authorKorkmaz, Zehra Sedef
dc.date.accessioned2021-12-02T13:11:54Z
dc.date.available2021-12-02T13:11:54Z
dc.date.issued2021
dc.departmentAÇÜ, Eğitim Fakültesi, Eğitim Bilimleri Bölümüen_US
dc.description.abstractIn this paper, we propose a new distribution, named unit log-log distribution, defined on the bounded (0,1) interval. Basic distributional properties such as model shapes, stochastic ordering, quantile function, moments, and order statistics of the newly defined unit distribution are studied. The maximum likelihood estimation method has been pointed out to estimate its model parameters. The new quantile regression model based on the proposed distribution is introduced and it has been derived estimations of its model parameters also. The Monte Carlo simulation studies have been given to see the performance of the estimation method based on the new unit distribution and its regression modeling. Applications of the newly defined distribution and its quantile regression model to real data sets show that the proposed models have better modeling abilities than competitive models. The proposed unit quantile regression model has targeted to explain linear relation between educational measurements of both OECD (Organization for Economic Co-operation and Development) countries and some non-members of OECD countries, and their Better Life Index. The existence of the significant covariates has been seen on the real data applications for the unit median response. Keywords
dc.identifier.citationKorkmaz, M. Ç., & Korkmaz, Z. S. (2021). The unit log–log distribution: a new unit distribution with alternative quantile regression modeling and educational measurements applications. Journal of Applied Statistics, 1-20.en_US
dc.identifier.doi10.1080/02664763.2021.2001442
dc.identifier.scopusqualityN/A
dc.identifier.urihttps://hdl.handle.net/11494/3576
dc.identifier.volumeArticle in pressen_US
dc.identifier.wosqualityQ3
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.institutionauthorKorkmaz, Mustafa Çağatay
dc.institutionauthorKorkmaz, Zehra Sedef
dc.language.isoenen_US
dc.publisherTaylor & Francis Incen_US
dc.relation.ispartofJournal of Statistical
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectEducational measurementsen_US
dc.subjectLog–log modelen_US
dc.subjectPham distributionen_US
dc.subjectQuantile regressionen_US
dc.subjectUnit data modelingen_US
dc.subjectUnit log–log distributionen_US
dc.titleThe unit log-log distribution: a new unit distribution with alternative quantile regression modeling and educational measurements applicationsen_US
dc.typeArticle

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