Power Birnbaum-Saunders Student t distribution
The fatigue life distribution proposed by Birnbaum and Saunders has been used quite effectively to model times to failure for materials subject to fatigue. In this article, we introduce an extension of the classical Birnbaum-Saunders distribution substituting the normal distribution by the power Stu...
| Main Authors: | , , |
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| Format: | Article |
| Language: | Spanish |
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Universidad Industrial de Santander
2017-08-01
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| Series: | Revista Integración |
| Subjects: | |
| Online Access: | https://revistas.uis.edu.co/index.php/revistaintegracion/article/view/6591 |
| _version_ | 1818158052658905088 |
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| author | Germán Moreno-Arenas Guillermo Martínez-Flórez Heleno Bolfarine |
| author_facet | Germán Moreno-Arenas Guillermo Martínez-Flórez Heleno Bolfarine |
| author_sort | Germán Moreno-Arenas |
| collection | DOAJ |
| description | The fatigue life distribution proposed by Birnbaum and Saunders has been used quite effectively to model times to failure for materials subject to fatigue. In this article, we introduce an extension of the classical Birnbaum-Saunders distribution substituting the normal distribution by the power Student t distribution. The new distribution is more flexible than the classical Birnbaum-Saunders distribution in terms of asymmetry and kurtosis. We discuss maximum likelihood estimation of the model parameters and associated regression model. Two real data set are analysed and the results reveal that the proposed model better some other models proposed in the literature.
MSC2010: 62-07, 62F10, 62J02, 62N86. |
| first_indexed | 2024-12-11T15:23:57Z |
| format | Article |
| id | doaj.art-8ddf788b0a634ac28645cb280a17177d |
| institution | Directory Open Access Journal |
| issn | 0120-419X 2145-8472 |
| language | Spanish |
| last_indexed | 2024-12-11T15:23:57Z |
| publishDate | 2017-08-01 |
| publisher | Universidad Industrial de Santander |
| record_format | Article |
| series | Revista Integración |
| spelling | doaj.art-8ddf788b0a634ac28645cb280a17177d2022-12-22T01:00:16ZspaUniversidad Industrial de SantanderRevista Integración0120-419X2145-84722017-08-0135110.18273/revint.v35n1-2017004Power Birnbaum-Saunders Student t distributionGermán Moreno-Arenas0Guillermo Martínez-FlórezHeleno BolfarineUniversidad Industrial de Santander, Escuela de Matemáticas, Bucaramanga, Colombia.The fatigue life distribution proposed by Birnbaum and Saunders has been used quite effectively to model times to failure for materials subject to fatigue. In this article, we introduce an extension of the classical Birnbaum-Saunders distribution substituting the normal distribution by the power Student t distribution. The new distribution is more flexible than the classical Birnbaum-Saunders distribution in terms of asymmetry and kurtosis. We discuss maximum likelihood estimation of the model parameters and associated regression model. Two real data set are analysed and the results reveal that the proposed model better some other models proposed in the literature. MSC2010: 62-07, 62F10, 62J02, 62N86.https://revistas.uis.edu.co/index.php/revistaintegracion/article/view/6591Birnbaum-Saunders distributionalpha-power distributionpower Student t distribution |
| spellingShingle | Germán Moreno-Arenas Guillermo Martínez-Flórez Heleno Bolfarine Power Birnbaum-Saunders Student t distribution Revista Integración Birnbaum-Saunders distribution alpha-power distribution power Student t distribution |
| title | Power Birnbaum-Saunders Student t distribution |
| title_full | Power Birnbaum-Saunders Student t distribution |
| title_fullStr | Power Birnbaum-Saunders Student t distribution |
| title_full_unstemmed | Power Birnbaum-Saunders Student t distribution |
| title_short | Power Birnbaum-Saunders Student t distribution |
| title_sort | power birnbaum saunders student t distribution |
| topic | Birnbaum-Saunders distribution alpha-power distribution power Student t distribution |
| url | https://revistas.uis.edu.co/index.php/revistaintegracion/article/view/6591 |
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