Open AccessBimodal Regression Model
Author(s) -
Guillermo Domingo Martinez,
Heleno Bolfarine,
Hugo S. Salinas
Publication year - 2017
Publication title -
revista colombiana de estadística/revista colombiana de estadistica
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.256
H-Index - 16
eISSN - 2389-8976
pISSN - 0120-1751
DOI - 10.15446/rce.v40n1.51738
Subject(s) - term (time) , regression , regression analysis , skew , statistics , mathematics , linear regression , distribution (mathematics) , computer science , mathematical analysis , physics , telecommunications , quantum mechanics
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.