A Bimodal Model Based on Truncation Positive Normal with Application to Height Data

In this work, we propose a new bimodal distribution with support in the real line. We obtain some properties of the model, such as moments, quantiles, and mode, among others. The computational implementation of the model is presented in the tpn package of the software R. We perform a simulation stud...

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Bibliographic Details
Published in:Symmetry (Basel) 2022-04, Vol.14 (4), p.665
Main Authors: Gómez, Héctor J., Caimanque, Wilson E., Gómez, Yolanda M., Magalhães, Tiago M., Concha, Miguel, Gallardo, Diego I.
Format: Article
Language:English
Subjects:
asymmetric
bimodal distribution
maximum likelihood estimation
Maximum likelihood estimators
Normal distribution
Parameter estimation
Quantiles
Random variables
tpn package
unimodal distribution
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Summary:In this work, we propose a new bimodal distribution with support in the real line. We obtain some properties of the model, such as moments, quantiles, and mode, among others. The computational implementation of the model is presented in the tpn package of the software R. We perform a simulation study in order to assess the properties of the maximum likelihood estimators in finite samples. Finally, we present an application to a bimodal data set, where our proposal is compared with other models in the literature.
ISSN:2073-8994
2073-8994
DOI:10.3390/sym14040665