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Revista Colombiana de Estadística
Article . 2017 . Peer-reviewed
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Revista Colombiana de Estadística
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Article . 2017
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Bimodal Regression Model

Bimodal regression model
Authors: MARTÍNEZ-FLÓREZ, GUILLERMO; SALINAS, HUGO S.; BOLFARINE, HELENO;

Bimodal Regression Model

Abstract

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.

Country
Colombia
Keywords

Power normal model, generalized Gaussian distribution, 31 Colecciones de estadística general / Statistics, Generalized Gaussian distribution, Bimodal distribution, Linear regression, distribución bimodal, distribución gaussiana generalizada, Power Regression Model, modelo de regresión exponenciado, Linear regression; mixed models, power regression model, Statistics, Linear Regression, Exact distribution theory in statistics, bimodal distribution, Generalized Gaussian Distribution, Regression, HA1-4737, modelo de regresión exponenciado., 51 Matemáticas / Mathematics, regresión lineal, linear regression, Bimodal Distribution

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
2
Average
Average
Average
Green
gold