An overview on parametric quantile regression models and their computational implementation with applications to biomedical problems including COVID-19 data

J Mazucheli, B Alves, AFB Menezes, V Leiva - Computer Methods and …, 2022 - Elsevier
Quantile regression allows us to estimate the relationship between covariates and any
quantile of the response variable rather than the mean. Recently, several statistical …

On the unit Burr-XII distribution with the quantile regression modeling and applications

MÇ Korkmaz, C Chesneau - Computational and Applied Mathematics, 2021 - Springer
In this paper, we modify the Burr-XII distribution through the inverse exponential scheme to
obtain a new two-parameter distribution on the unit interval called the unit Burr-XII …

On the unit-Chen distribution with associated quantile regression and applications

MC Korkmaz, E Altun, C Chesneau… - Mathematica …, 2022 - degruyter.com
In this paper, a new distribution defined on (0, 1) is introduced. It is obtained by the
transformation of a positive random variable following the Chen distribution with respect to …

The unit log–log distribution: A new unit distribution with alternative quantile regression modeling and educational measurements applications

MÇ Korkmaz, ZS Korkmaz - Journal of Applied Statistics, 2023 - Taylor & Francis
In 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 …

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

MÇ Korkmaz, C Chesneau, ZS Korkmaz - Symmetry, 2021 - mdpi.com
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 …

A new quantile regression for modeling bounded data under a unit Birnbaum–Saunders distribution with applications in medicine and politics

J Mazucheli, V Leiva, B Alves, AFB Menezes - Symmetry, 2021 - mdpi.com
Quantile regression provides a framework for modeling the relationship between a response
variable and covariates using the quantile function. This work proposes a regression model …

A new regression model for bounded response variable: An alternative to the beta and unit-Lindley regression models

E Altun, M El-Morshedy, MS Eliwa - Plos one, 2021 - journals.plos.org
A new distribution defined on (0, 1) interval is introduced. Its probability density and
cumulative distribution functions have simple forms. Thanks to its simple forms, the …

Bayesian and non-Bayesian inference for unit-exponentiated half-logistic distribution with data analysis

AS Hassan, A Fayomi, A Algarni, EM Almetwally - Applied Sciences, 2022 - mdpi.com
Unit distributions are typically used in probability theory and statistics to illustrate useful
quantities with values between zero and one. In this paper, we investigated an appropriate …

An efficient stress–Strength reliability estimate of the Unit gompertz distribution using ranked set sampling

N Alsadat, AS Hassan, M Elgarhy, C Chesneau… - Symmetry, 2023 - mdpi.com
In this paper, the estimation of the stress–strength reliability is taken into account when the
stress and strength variables have unit Gompertz distributions with a similar scale …

Some new facts about the unit-Rayleigh distribution with applications

RAR Bantan, C Chesneau, F Jamal, M Elgarhy… - Mathematics, 2020 - mdpi.com
The unit-Rayleigh distribution is a one-parameter distribution with support on the unit
interval. It is defined as the so-called unit-Weibull distribution with a shape parameter equal …