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.
Authors
Date
Datos de publicaciĆ³n:
MATHEMATICS,Vol.11,,2023
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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.