Bimodal Regression Model

Regression analysis is a technique widely used in different areas ofhuman knowledge, with distinct distributions for the error term. Itis the case, however, that regression models with bimodal responsesor, equivalently, with the error term following a bimodal distribution are notcommon in the litera...

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Autores:
Martinez, Guillermo Domingo
Bolfarine, Heleno
Salinas, Hugo
Tipo de recurso:
Article of journal
Fecha de publicación:
2017
Institución:
Universidad Nacional de Colombia
Repositorio:
Universidad Nacional de Colombia
Idioma:
spa
OAI Identifier:
oai:repositorio.unal.edu.co:unal/66502
Acceso en línea:
https://repositorio.unal.edu.co/handle/unal/66502
http://bdigital.unal.edu.co/67530/
Palabra clave:
51 Matemáticas / Mathematics
31 Colecciones de estadística general / Statistics
Bimodal distribution
Generalized Gaussian distribution
Linear regression
Power normal model
Regression
distribución bimodal
distribución gaussiana generalizada
regresión lineal
modelo de regresión exponenciado.
Rights
openAccess
License
Atribución-NoComercial 4.0 Internacional
Description
Summary:Regression analysis is a technique widely used in different areas ofhuman knowledge, with distinct distributions for the error term. Itis the case, however, that regression models with bimodal responsesor, equivalently, with the error term following a bimodal distribution are notcommon in the literature, perhaps due to the lack of simple to dealwith bimodal error distributions. In this paper we propose a simpleto deal with bimodal regression model with a symmetric-asymmetricdistribution for the error term for which for some values of theshape parameter it can be bimodal. This new distribution containsthe normal and skew-normal as special cases. A realdata application reveals that the new model can be extremely usefulin such situations.