Flexible Power-Normal Models with Applications
The main object of this paper is to propose a new asymmetric model more flexible than the generalized Gaussian model. The probability density function of the new model can assume bimodal or unimodal shapes, and one of the parameters controls the skewness of the model. Three simulation studies are re...
| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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MDPI AG
2021-12-01
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| Series: | Mathematics |
| Subjects: | |
| Online Access: | https://www.mdpi.com/2227-7390/9/24/3183 |
| _version_ | 1797502635208605696 |
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| author | Guillermo Martínez-Flórez Diego I. Gallardo Osvaldo Venegas Heleno Bolfarine Héctor W. Gómez |
| author_facet | Guillermo Martínez-Flórez Diego I. Gallardo Osvaldo Venegas Heleno Bolfarine Héctor W. Gómez |
| author_sort | Guillermo Martínez-Flórez |
| collection | DOAJ |
| description | The main object of this paper is to propose a new asymmetric model more flexible than the generalized Gaussian model. The probability density function of the new model can assume bimodal or unimodal shapes, and one of the parameters controls the skewness of the model. Three simulation studies are reported and two real data applications illustrate the flexibility of the model compared with traditional proposals in the literature. |
| first_indexed | 2024-03-10T03:37:55Z |
| format | Article |
| id | doaj.art-3d5034773c7347a28fa14d1fba5355d7 |
| institution | Directory Open Access Journal |
| issn | 2227-7390 |
| language | English |
| last_indexed | 2024-03-10T03:37:55Z |
| publishDate | 2021-12-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Mathematics |
| spelling | doaj.art-3d5034773c7347a28fa14d1fba5355d72023-11-23T09:25:23ZengMDPI AGMathematics2227-73902021-12-01924318310.3390/math9243183Flexible Power-Normal Models with ApplicationsGuillermo Martínez-Flórez0Diego I. Gallardo1Osvaldo Venegas2Heleno Bolfarine3Héctor W. Gómez4Departamento de Matemáticas y Estadística, Facultad de Ciencias, Universidad de Córdoba, Córdoba 2300, ColombiaDepartamento de Matemática, Facultad de Ingeniería, Universidad de Atacama, Copiapó 1530000, ChileDepartamento de Ciencias Matemáticas y Físicas, Facultad de Ingeniería, Universidad Católica de Temuco, Temuco 4780000, ChileDepartamento de Estatística, IME, Universidade de São Paulo, São Paulo 05508-090, BrazilDepartamento de Matemáticas, Facultad de Ciencias Básicas, Universidad de Antofagasta, Antofagasta 1240000, ChileThe main object of this paper is to propose a new asymmetric model more flexible than the generalized Gaussian model. The probability density function of the new model can assume bimodal or unimodal shapes, and one of the parameters controls the skewness of the model. Three simulation studies are reported and two real data applications illustrate the flexibility of the model compared with traditional proposals in the literature.https://www.mdpi.com/2227-7390/9/24/3183power normal distributionbimodal asymmetric distributionmomentsmaximum likelihood estimatorsfisher information matrix |
| spellingShingle | Guillermo Martínez-Flórez Diego I. Gallardo Osvaldo Venegas Heleno Bolfarine Héctor W. Gómez Flexible Power-Normal Models with Applications Mathematics power normal distribution bimodal asymmetric distribution moments maximum likelihood estimators fisher information matrix |
| title | Flexible Power-Normal Models with Applications |
| title_full | Flexible Power-Normal Models with Applications |
| title_fullStr | Flexible Power-Normal Models with Applications |
| title_full_unstemmed | Flexible Power-Normal Models with Applications |
| title_short | Flexible Power-Normal Models with Applications |
| title_sort | flexible power normal models with applications |
| topic | power normal distribution bimodal asymmetric distribution moments maximum likelihood estimators fisher information matrix |
| url | https://www.mdpi.com/2227-7390/9/24/3183 |
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