Flexible Birnbaum–Saunders Distribution
In this paper, we propose a bimodal extension of the Birnbaum−Saunders model by including an extra parameter. This new model is termed flexible Birnbaum−Saunders (FBS) and includes the ordinary Birnbaum−Saunders (BS) and the skew Birnbaum−Saunders (SBS) model...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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MDPI AG
2019-10-01
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| Series: | Symmetry |
| Subjects: | |
| Online Access: | https://www.mdpi.com/2073-8994/11/10/1305 |
| _version_ | 1811186034471337984 |
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| author | Guillermo Martínez-Flórez Inmaculada Barranco-Chamorro Heleno Bolfarine Héctor W. Gómez |
| author_facet | Guillermo Martínez-Flórez Inmaculada Barranco-Chamorro Heleno Bolfarine Héctor W. Gómez |
| author_sort | Guillermo Martínez-Flórez |
| collection | DOAJ |
| description | In this paper, we propose a bimodal extension of the Birnbaum−Saunders model by including an extra parameter. This new model is termed flexible Birnbaum−Saunders (FBS) and includes the ordinary Birnbaum−Saunders (BS) and the skew Birnbaum−Saunders (SBS) model as special cases. Its properties are studied. Parameter estimation is considered via an iterative maximum likelihood approach. Two real applications, of interest in environmental sciences, are included, which reveal that our proposal can perform better than other competing models. |
| first_indexed | 2024-04-11T13:39:32Z |
| format | Article |
| id | doaj.art-2416093a6fb14dee9f4a11c077739ad8 |
| institution | Directory Open Access Journal |
| issn | 2073-8994 |
| language | English |
| last_indexed | 2024-04-11T13:39:32Z |
| publishDate | 2019-10-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Symmetry |
| spelling | doaj.art-2416093a6fb14dee9f4a11c077739ad82022-12-22T04:21:19ZengMDPI AGSymmetry2073-89942019-10-011110130510.3390/sym11101305sym11101305Flexible Birnbaum–Saunders DistributionGuillermo Martínez-Flórez0Inmaculada Barranco-Chamorro1Heleno Bolfarine2Héctor W. Gómez3Departamento de Matemáticas y Estadística, Facultad de Ciencias Básicas, Universidad de Córdoba, Córdoba 230027, ColombiaDepartamento de Estadística e Investigación Operativa, Universidad de Sevilla, 41000 Sevilla, SpainDepartamento de Estatítica, IME, Universidade de São Paulo, São Paulo 01000, BrazilDepartamento de Matemáticas, Facultad de Ciencias Básicas, Universidad de Antofagasta, Antofagasta 1240000, ChileIn this paper, we propose a bimodal extension of the Birnbaum−Saunders model by including an extra parameter. This new model is termed flexible Birnbaum−Saunders (FBS) and includes the ordinary Birnbaum−Saunders (BS) and the skew Birnbaum−Saunders (SBS) model as special cases. Its properties are studied. Parameter estimation is considered via an iterative maximum likelihood approach. Two real applications, of interest in environmental sciences, are included, which reveal that our proposal can perform better than other competing models.https://www.mdpi.com/2073-8994/11/10/1305flexible skew-normal distributionskew birnbaum–saunders distributionbimodalitymaximum likelihood estimationfisher information matrix |
| spellingShingle | Guillermo Martínez-Flórez Inmaculada Barranco-Chamorro Heleno Bolfarine Héctor W. Gómez Flexible Birnbaum–Saunders Distribution Symmetry flexible skew-normal distribution skew birnbaum–saunders distribution bimodality maximum likelihood estimation fisher information matrix |
| title | Flexible Birnbaum–Saunders Distribution |
| title_full | Flexible Birnbaum–Saunders Distribution |
| title_fullStr | Flexible Birnbaum–Saunders Distribution |
| title_full_unstemmed | Flexible Birnbaum–Saunders Distribution |
| title_short | Flexible Birnbaum–Saunders Distribution |
| title_sort | flexible birnbaum saunders distribution |
| topic | flexible skew-normal distribution skew birnbaum–saunders distribution bimodality maximum likelihood estimation fisher information matrix |
| url | https://www.mdpi.com/2073-8994/11/10/1305 |
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