The continuous bernoulli distribution: Mathematical characterization, fractile regression, computational simulations, and applications

Basit Öğe Kaydı
dc.authorid0000-0003-3302-0705
dc.authorid0000-0003-4755-3270
dc.authorid0000-0002-8797-681X
dc.contributor.authorKorkmaz, Mustafa Çağatay
dc.contributor.authorLeiva, Víctor
dc.contributor.authorMartin-Barreiro, Carlos
dc.date.accessioned2025-07-18T11:05:06Z
dc.date.available2025-07-18T11:05:06Z
dc.date.issued2023
dc.departmentAÇÜ, Eğitim Fakültesi, Temel Eğitim Bölümü
dc.description.abstractThe continuous Bernoulli distribution is defined on the unit interval and has a unique property related to fractiles. A fractile is a position on a probability density function where the corresponding surface is a fixed proportion. This article presents the derivation of properties of the continuous Bernoulli distribution and formulates a fractile or quantile regression model for a unit response using the exponentiated continuous Bernoulli distribution. Monte Carlo simulation studies evaluate the performance of point and interval estimators for both the continuous Bernoulli distribution and the fractile regression model. Real-world datasets from science and education are analyzed to illustrate the modeling abilities of the continuous Bernoulli distribution and the exponentiated continuous Bernoulli quantile regression model.
dc.identifier.doi10.3390/fractalfract7050386
dc.identifier.issn25043110
dc.identifier.issue5
dc.identifier.scopuss2.0-85160354153
dc.identifier.scopusqualityQ1
dc.identifier.urihttps://hdl.handle.net/11494/5840
dc.identifier.volume7
dc.indekslendigikaynakScopus
dc.institutionauthorKorkmaz, Mustafa Çağatay
dc.institutionauthorid0000-0003-3302-0705
dc.language.isoen
dc.publisherMDPI
dc.relation.ispartofFractal and Fractional
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/openAccess
dc.subjectBernoulli distribution
dc.subjectLikelihood and Monte Carlo methods
dc.subjectPoint estimation
dc.subjectQuantile function
dc.subjectR software
dc.subjectResidual analysis
dc.titleThe continuous bernoulli distribution: Mathematical characterization, fractile regression, computational simulations, and applications
dc.typeArticle

Dosyalar

Orijinal paket
Listeleniyor 1 - 1 / 1
Küçük Resim
İsim:
5840.pdf
Boyut:
582.82 KB
Biçim:
Adobe Portable Document Format
İndir
Lisans paketi
Listeleniyor 1 - 1 / 1
[ X ]
İsim:
license.txt
Boyut:
1.17 KB
Biçim:
Item-specific license agreed upon to submission
Açıklama:
İndir

Koleksiyon

Scopus İndeksli Yayınlar Koleksiyonu
Eğitim Bilimleri Bölümü Koleksiyonu
WoS İndeksli Yayınlar Koleksiyonu