On the arcsecant hyperbolic normal distribution. Properties, quantile regression modeling and applications

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dc.authorid0000-0003-3302-0705en_US
dc.authorid0000-0002-1522-9292en_US
dc.authorid0000-0002-3466-8119en_US
dc.contributor.authorKorkmaz, Mustafa Çağatay
dc.contributor.authorChesneau, Christophe
dc.contributor.authorKorkmaz, Zehra Sedef
dc.date.accessioned2021-02-16T11:09:50Z
dc.date.available2021-02-16T11:09:50Z
dc.date.issued2021
dc.departmentAÇÜ, Eğitim Fakültesien_US
dc.description.abstractThis work proposes a new distribution defined on the unit interval. It is obtained by a novel transformation of a normal random variable involving the hyperbolic secant function and its inverse. The use of such a function in distribution theory has not received much attention in the literature, and may be of interest for theoretical and practical purposes. Basic statistical properties of the newly defined distribution are derived, including moments, skewness, kurtosis and order statistics. For the related model, the parametric estimation is examined through different methods. We assess the performance of the obtained estimates by two complementary simulation studies. Also, the quantile regression model based on the proposed distribution is introduced. Applications to three real datasets show that the proposed models are quite competitive in comparison to well-established models.
dc.identifier.citationKorkmaz, M. Ç., Chesneau, C., & Korkmaz, Z. S. (2021). On the Arcsecant Hyperbolic Normal Distribution. Properties, Quantile Regression Modeling and Applications. Symmetry, 13(1), 1-24.en_US
dc.identifier.doi10.3390/sym13010117
dc.identifier.endpage24en_US
dc.identifier.issue1en_US
dc.identifier.scopusqualityQ1
dc.identifier.startpage1en_US
dc.identifier.urihttps://hdl.handle.net/11494/2631
dc.identifier.volume13en_US
dc.identifier.wosqualityQ2
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.institutionauthorKorkmaz, Zehra Sedef
dc.institutionauthorKorkmaz, Mustafa Çağatay
dc.language.isoenen_US
dc.publisherMDPI AGen_US
dc.relation.ispartofSymmetry
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectBounded distributionen_US
dc.subjectUnit hyperbolic normal distributionen_US
dc.subjectHyperbolic secant functionen_US
dc.subjectNormal distributionen_US
dc.subjectPoint estimatesen_US
dc.subjectQuantile regressionen_US
dc.subjectBetter life indexen_US
dc.subjectDyslexiaen_US
dc.subjectIQen_US
dc.subjectReading accuracy modelingen_US
dc.titleOn the arcsecant hyperbolic normal distribution. Properties, quantile regression modeling and applicationsen_US
dc.typeArticle

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