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 …

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 …

[HTML][HTML] The unit two parameters Mirra distribution: Reliability analysis, properties, estimation and applications

AI Al-Omari, ARA Alanzi, SS Alshqaq - Alexandria Engineering Journal, 2024 - Elsevier
To define useful numbers having values from 0 to 1, as percentages, probabilities, and
proportions, the unit probability models are often employed in probability and statistics. In …

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 …

The unit Muth distribution: Statistical properties and applications

R Maya, P Jodra, MR Irshad, A Krishna - Ricerche di Matematica, 2024 - Springer
This paper introduces a bounded probability distribution which is derived from the Muth
distribution. The main statistical properties are studied and analytical expressions are …

[HTML][HTML] Introducing the unit Zeghdoudi distribution as a novel statistical model for analyzing proportional data

SO Bashiru, M Kayid, R Mahmoud, OS Balogun… - Journal of Radiation …, 2025 - Elsevier
Unit distributions are essential in statistical modeling, providing a robust framework for
understanding variables constrained within the unit interval [0, 1]. This interval is crucial in …

On the maximum likelihood estimators' uniqueness and existence for two unitary distributions: Analytically and graphically, with application

G Alomair, Y Akdoğan, HS Bakouch, T Erbayram - Symmetry, 2024 - mdpi.com
Unit distributions, exhibiting inherent symmetrical properties, have been extensively studied
across various fields. A significant challenge in these studies, particularly evident in …

Statistical Advancement of a Flexible Unitary Distribution and Its Applications

HS Salinas, HS Bakouch, FE Almuhayfith… - Axioms, 2024 - mdpi.com
A flexible distribution has been introduced to handle random variables in the unit interval.
This distribution is based on an exponential transformation of the truncated positive normal …

Unit distributions: a general framework, some special cases, and the regression unit-Dagum models

F Condino, F Domma - Mathematics, 2023 - mdpi.com
In this work, we propose a general framework for models with support in the unit interval,
which is obtained using the technique of random variable transformations. For this class, the …

[HTML][HTML] The log exponential-power distribution: Properties, estimations and quantile regression model

MÇ Korkmaz, E Altun, M Alizadeh, M El-Morshedy - Mathematics, 2021 - mdpi.com
Recently, bounded distributions have attracted attention. These distributions are frequently
used in modeling rate and proportion data sets. In this study, a new alternative model is …