On the arcsecant hyperbolic normal distribution. Properties, quantile regression modeling and applications
Yükleniyor...
Tarih
2021
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
MDPI AG
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
This 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.
Açıklama
Anahtar Kelimeler
Bounded distribution, Unit hyperbolic normal distribution, Hyperbolic secant function, Normal distribution, Point estimates, Quantile regression, Better life index, Dyslexia, IQ, Reading accuracy modeling
Kaynak
Symmetry
WoS Q Değeri
Q2
Scopus Q Değeri
Q1
Cilt
13
Sayı
1
Künye
Korkmaz, 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.
