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 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 …

The unit generalized half-normal quantile regression model: formulation, estimation, diagnostics, and numerical applications

J Mazucheli, MÇ Korkmaz, AFB Menezes, V Leiva - Soft Computing, 2023 - Springer
In this paper, we propose and derive a new regression model for response variables defined
on the open unit interval. By reparameterizing the unit generalized half-normal distribution …

A flexible probability model for proportion data: Unit Gumbel type-II distribution, development, properties, different method of estimations and applications

A Shafiq, TN Sindhu, Z Hussain, J Mazucheli… - Austrian Journal of …, 2023 - ajs.or.at
Unit Gumbel type-II distribution Page 1 AJS Austrian Journal of Statistics January 2023, Volume
52, 116–140. http://www.ajs.or.at/ doi:10.17713/ajs.v52i2.1407 A Flexible Probability Model for …

Vasicek quantile and mean regression models for bounded data: New formulation, mathematical derivations, and numerical applications

J Mazucheli, B Alves, MÇ Korkmaz, V Leiva - Mathematics, 2022 - mdpi.com
The Vasicek distribution is a two-parameter probability model with bounded support on the
open unit interval. This distribution allows for different and flexible shapes and plays an …

A novel regression model for fractiles: Formulation, computational aspects, and applications to medical data

V Leiva, J Mazucheli, B Alves - Fractal and Fractional, 2023 - mdpi.com
Covariate-related response variables that are measured on the unit interval frequently arise
in diverse studies when index and proportion data are of interest. A regression on the mean …

A new quantile regression model and its diagnostic analytics for a Weibull distributed response with applications

L Sánchez, V Leiva, H Saulo, C Marchant, JM Sarabia - Mathematics, 2021 - mdpi.com
Standard regression models focus on the mean response based on covariates. Quantile
regression describes the quantile for a response conditioned to values of covariates. The …

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 …

[PDF][PDF] Unveiling patterns and trends in research on cumulative damage models for statistical and reliability analyses: Bibliometric and thematic explorations with data …

V LEIVA, C Castro, R Vila, H Saulo - Chilean Journal of Statistics (ChJS), 2024 - soche.cl
This study comprehensively explores the research landscape within statistical and reliability
studies, focusing on the Birnbaum-Saunders distribution, Gaussian inverse distribution …