An Asymmetric Bimodal Distribution with Application to Quantile Regression
An Asymmetric Bimodal Distribution with Application to Quantile Regression
Authors
Gomez, Yolanda M.
Gomez Deniz, Emilio
Venegas, Osvaldo
Gallardo, Diego, I
Gomez, Hector W.
Gomez Deniz, Emilio
Venegas, Osvaldo
Gallardo, Diego, I
Gomez, Hector W.
Authors
Date
Datos de publicaciĆ³n:
10.3390/sym11070899
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Abstract
In this article, we study an extension of the sinh Cauchy model in order to obtain asymmetric bimodality. The behavior of the distribution may be either unimodal or bimodal. We calculate its cumulative distribution function and use it to carry out quantile regression. We calculate the maximum likelihood estimators and carry out a simulation study. Two applications are analyzed based on real data to illustrate the flexibility of the distribution for modeling unimodal and bimodal data.