A Symmetric/Asymmetric Bimodal Extension Based on the Logistic Distribution: Properties, Simulation and Applications

Isaac E. Cortés, Osvaldo Venegas and Héctor W. Gómez
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Isaac E. Cortés: Inter-Institutional Graduation Program in Statistics, Universidade de São Paulo, São Paulo 05508-090, Brazil
Osvaldo Venegas: Departamento de Ciencias Matemáticas y Físicas, Facultad de Ingeniería, Universidad Católica de Temuco, Temuco 4780000, Chile
Héctor W. Gómez: Departamento de Matemáticas, Facultad de Ciencias Básicas, Universidad de Antofagasta, Antofagasta 1240000, Chile

Mathematics, 2022, vol. 10, issue 12, 1-17

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.

Keywords: bimodal distribution; logistic distribution; maximum likelihood; symmetry; asymmetric (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
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