Discrete generalized half-normal distribution and its applications in quantile regression
Gallardo, Diego 
(Universidad de Atacama. Departamento de Matemáticas)
Gómez-Déniz, Emilio 
(Universidad de Las Palmas de Gran Canaria. Departamento de Métodos Cuantitativos en Economía y Gestión)
Gómez, Héctor W. 
(Universidad de Antofagasta. Departamento de Matemáticas)
| Date: |
2020 |
| Abstract: |
A new discrete two-parameter distribution is introduced by discretizing a generalized half-normal distribution. The model is useful for fitting overdispersed as well as underdispersed data. The failure function can be decreasing, bathtub shaped or increasing. A reparameterization of the distribution is introduced for use in a regression model based on the median. The behaviour of the maximum likelihood estimates is studied numerically, showing good performance in finite samples. Three real data set applications reveal that the new model can provide a better explanation than some other competitors. |
| Rights: |
Aquest document està subjecte a una llicència d'ús Creative Commons. Es permet la reproducció total o parcial, la distribució, i la comunicació pública de l'obra, sempre que no sigui amb finalitats comercials, i sempre que es reconegui l'autoria de l'obra original. No es permet la creació d'obres derivades.  |
| Language: |
Anglès |
| Document: |
Article ; recerca ; Versió publicada |
| Subject: |
Discretizing ;
Generalized half-normal distribution ;
Failure function ;
Health ;
Quantile regression ;
Stochastic order |
| Published in: |
SORT : statistics and operations research transactions, Vol. 44 Núm. 2 (July-December 2020) , p. 265-284 (Articles) , ISSN 2013-8830 |
Adreça alternativa: https://raco.cat/index.php/SORT/article/view/377799
DOI: 10.2436/20.8080.02.102
The record appears in these collections:
Articles >
Published articles >
SORTArticles >
Research articles
Record created 2020-12-24, last modified 2024-10-03