A Bimodal Extension of the Epsilon-Skew-Normal Model
A Bimodal Extension of the Epsilon-Skew-Normal Model
Authors
Duarte, Juan
Martinez Florez, Guillermo
Gallardo, Diego Ignacio
Venegas, Osvaldo
Gomez, Hector W.
Martinez Florez, Guillermo
Gallardo, Diego Ignacio
Venegas, Osvaldo
Gomez, Hector W.
Profesor GuĆa
Authors
Date
Datos de publicaciĆ³n:
10.3390/math11030507
MATHEMATICS,Vol.11,,2023
Tipo de recurso
WOS
Keywords
Materia geogrƔfica
Collections
Abstract
This article introduces a bimodal model based on the epsilon-skew-normal distribution. This extension generates bimodal distributions similar to those produced by the mixture of normal distributions. We study the basic properties of this new family. We apply maximum likelihood estimators, calculate the information matrix and present a simulation study to assess parameter recovery. Finally, we illustrate the results to three real data sets, suggesting this new distribution as a plausible alternative for modelling bimodal data.