Modified Unit-Half-Normal Distribution with Applications
Modified Unit-Half-Normal Distribution with Applications
Authors
Alvarez, Paulina I.
Varela, Hector
Cortes, Isaac E.
Venegas, Osvaldo
Gomez, Hector W.
Varela, Hector
Cortes, Isaac E.
Venegas, Osvaldo
Gomez, Hector W.
Profesor GuĆa
Authors
Date
Datos de publicaciĆ³n:
10.3390/math12010136
MATHEMATICS,Vol.12,2024
MATHEMATICS,Vol.12,2024
Tipo de recurso
Article
Keywords
Materia geogrƔfica
Collections
Abstract
In this article, we introduce a new continuous distribution based on the unit interval. This distribution is generated from a transformation of a random variable with half-normal distribution. We study its basic properties, percentiles, moments and order statistics. Maximum likelihood estimation is applied, and we present a simulation study to observe the behavior of the maximum likelihood estimators. We examine two applications to real proportions datasets, where the new distribution is shown to provide a better fit than other distributions defined in the unit interval.