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 …

The unit-Weibull distribution as an alternative to the Kumaraswamy distribution for the modeling of quantiles conditional on covariates

J Mazucheli, AFB Menezes, LB Fernandes… - Journal of Applied …, 2020 - Taylor & Francis
The Beta distribution is the standard model for quantifying the influence of covariates on the
mean of a response variable on the unit interval. However, this well-known distribution is no …

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 …

[HTML][HTML] Power Lambert uniform distribution: Statistical properties, actuarial measures, regression analysis, and applications

AM Gemeay, K Karakaya, ME Bakr, OS Balogun… - AIP Advances, 2023 - pubs.aip.org
Here, we present a new bounded distribution known as the power Lambert uniform
distribution, and we deduce some of its statistical properties such as quantile function …

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 …

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 …

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 …

The unit Teissier distribution and its applications

A Krishna, R Maya, C Chesneau… - Mathematical and …, 2022 - mdpi.com
A bounded form of the Teissier distribution, namely the unit Teissier distribution, is
introduced. It is subjected to a thorough examination of its important properties, including …