A New Regression Model on the Unit Interval: Properties, Estimation, and Application

A new and flexible distribution is introduced for modeling proportional data based on the quantile of the generalized extreme value distribution. We obtain explicit expressions for the moments, quantiles, and other structural properties. An extended regression model is constructed as an alternative...

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Bibliographic Details
Published inMathematics (Basel) Vol. 10; no. 17; p. 3198
Main Authors Benites, Yury R., Cancho, Vicente G., Ortega, Edwin M. M., Vila, Roberto, Cordeiro, Gauss M.
Format Journal Article
LanguageEnglish
Published Basel MDPI AG 01.09.2022
Subjects
Analysis
Bayesian inference
Estimation theory
Extreme values
Food science
generalized extreme value distribution
Inequality
Johnson SB distribution
Normal distribution
Quantiles
Random variables
Regression analysis
regression model
Regression models
Brazil
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Summary:A new and flexible distribution is introduced for modeling proportional data based on the quantile of the generalized extreme value distribution. We obtain explicit expressions for the moments, quantiles, and other structural properties. An extended regression model is constructed as an alternative to compete with the beta regression. Some simulations from the Bayesian perspectives are developed, and an illustrative application to real data involving the comparison of models and influence diagnostics is also addressed.
ISSN:2227-7390
2227-7390
DOI:10.3390/math10173198