A Symmetric/Asymmetric Bimodal Extension Based on the Logistic Distribution: Properties, Simulation and Applications
A Symmetric/Asymmetric Bimodal Extension Based on the Logistic Distribution: Properties, Simulation and Applications
Authors
Cortes, Isaac E.
Venegas, Osvaldo
Gomez, Hector W.
Venegas, Osvaldo
Gomez, Hector W.
Authors
Date
Datos de publicaciĆ³n:
10.3390/math10121968
Keywords
Collections
Abstract
In this paper, we introduce bimodal extensions, one symmetric and one asymmetric, of the logistic distribution. We define this new density and study some basic properties. We draw inferences from the moment estimator and maximum likelihood approaches. We present a simulation study to assess the behaviour of the moment and maximum likelihood estimators. We also study the singularity of the Fisher information matrix for particular cases. We offer applications in real data and compare them with a mixture of logistics distributions.