Title
An Asymmetric Bimodal Distribution with Application to Quantile Regression.
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.
Year
DOI
Venue
2019
10.3390/sym11070899
SYMMETRY-BASEL
Keywords
Field
DocType
asymmetric bimodal distribution,bimodal,maximum likelihood
Applied mathematics,Mathematical analysis,Maximum likelihood,Cauchy distribution,Hyperbolic function,Cumulative distribution function,Bimodality,Mathematics,Quantile regression,Estimator
Journal
Volume
Issue
Citations 
11
7
0
PageRank 
References 
Authors
0.34
0
5
Name
Order
Citations
PageRank
Yolanda M. Gómez103.04
Emilio Gómez-Déniz243.59
Osvaldo Venegas302.03
Diego I. Gallardo414.10
Hector Gomez5507.74