Bimodal Regression Model

Regression analysis is a technique widely used in different areas of human knowledge, with distinct distributions for the error term. It is the case, however, that regression models with the error term following a bimodal distribution are not common in the literature, perhaps due to the lack of simp...

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Bibliographic Details
Main Authors: GUILLERMO MARTÍNEZ-FLÓREZ, HUGO S. SALINAS, HELENO BOLFARINE
Format: Article
Language:English
Published: Universidad Nacional de Colombia 2017-01-01
Series:Revista Colombiana de Estadística
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Online Access:http://www.scielo.org.co/scielo.php?script=sci_arttext&pid=S0120-17512017000100003&lng=en&tlng=en
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Summary:Regression analysis is a technique widely used in different areas of human knowledge, with distinct distributions for the error term. It is the case, however, that regression models with the error term following a bimodal distribution are not common in the literature, perhaps due to the lack of simple to deal with bimodal error distributions. In this paper, we propose a simple to deal with bimodal regression model with a symmetric-asymmetric distribution for the error term for which for some values of the shape parameter it can be bimodal. This new distribution contains the normal and skew-normal as special cases. A real data application reveals that the new model can be extremely useful in such situations.
ISSN:0120-1751