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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Bibliographic Details
Published in:Revista Colombiana de Estadística 2017, Vol.40 (1), p.65-83
Main Authors: Martinez, Guillermo Domingo, Bolfarine, Heleno, Salinas, Hugo
Format: Article
Language:English
Subjects:
Bimodal Distribution
Cases (containers)
Data envelopment analysis
Errors
Generalized Gaussian Distribution
Linear Regression
Power Regression Model
Regression analysis
Regression models
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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.
ISSN:0120-1751
2389-8976
DOI:10.15446/rce.v40n1.51738