Proportional Hazard Birnbaum-Saunders Distribution With Application to the Survival Data Analysis
Birnbaum & Saunders (1969b) used a probability distribution to explain the lifetime data and stress produced in materials. Based on this distribution, we propose a generalization of the Birnbaum-Saunders distribution, referred to as the proportional hazard Birnbaum-Saunders distribution, which i...
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| Format: | Article |
| Language: | English |
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Universidad Nacional de Colombia
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| Series: | Revista Colombiana de Estadística |
| Subjects: | |
| Online Access: | http://www.scielo.org.co/scielo.php?script=sci_arttext&pid=S0120-17512016000100009&lng=en&tlng=en |
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| author | GERMÁN MORENO-ARENAS GUILLERMO MARTÍNEZ-FLÓREZ CARLOS BARRERA-CAUSIL |
| author_facet | GERMÁN MORENO-ARENAS GUILLERMO MARTÍNEZ-FLÓREZ CARLOS BARRERA-CAUSIL |
| author_sort | GERMÁN MORENO-ARENAS |
| collection | DOAJ |
| description | Birnbaum & Saunders (1969b) used a probability distribution to explain the lifetime data and stress produced in materials. Based on this distribution, we propose a generalization of the Birnbaum-Saunders distribution, referred to as the proportional hazard Birnbaum-Saunders distribution, which includes a new parameter that provides more flexibility in terms of skewness and kurtosis than existing models. We derive the main properties of the model. We discuss maximum likelihood estimation of the model parameters. As a natural step, we define the log-linear proportional hazard Birnbaum-Saunders regression model. An empirical application to a real data set is presented in order to illustrate the usefulness of the proposed model. The results showed that the proportional hazard Birnbaum-Saunders model can be used quite effectively in analyzing survival data, reliability problems and fatigue life studies. |
| first_indexed | 2024-12-11T23:06:32Z |
| format | Article |
| id | doaj.art-15e9186af88c477c9c17fa19fe8ea8c8 |
| institution | Directory Open Access Journal |
| issn | 0120-1751 |
| language | English |
| last_indexed | 2024-12-11T23:06:32Z |
| publisher | Universidad Nacional de Colombia |
| record_format | Article |
| series | Revista Colombiana de Estadística |
| spelling | doaj.art-15e9186af88c477c9c17fa19fe8ea8c82022-12-22T00:46:53ZengUniversidad Nacional de ColombiaRevista Colombiana de Estadística0120-1751391129147S0120-17512016000100009Proportional Hazard Birnbaum-Saunders Distribution With Application to the Survival Data AnalysisGERMÁN MORENO-ARENAS0GUILLERMO MARTÍNEZ-FLÓREZ1CARLOS BARRERA-CAUSIL2Universidad Industrial de SantanderUniversidad de CórdobaInstituto Tecnológico MetropolitanoBirnbaum & Saunders (1969b) used a probability distribution to explain the lifetime data and stress produced in materials. Based on this distribution, we propose a generalization of the Birnbaum-Saunders distribution, referred to as the proportional hazard Birnbaum-Saunders distribution, which includes a new parameter that provides more flexibility in terms of skewness and kurtosis than existing models. We derive the main properties of the model. We discuss maximum likelihood estimation of the model parameters. As a natural step, we define the log-linear proportional hazard Birnbaum-Saunders regression model. An empirical application to a real data set is presented in order to illustrate the usefulness of the proposed model. The results showed that the proportional hazard Birnbaum-Saunders model can be used quite effectively in analyzing survival data, reliability problems and fatigue life studies.http://www.scielo.org.co/scielo.php?script=sci_arttext&pid=S0120-17512016000100009&lng=en&tlng=enBirnbaum-Saunders DistributionProportional HazardReliabilitySurvival Data |
| spellingShingle | GERMÁN MORENO-ARENAS GUILLERMO MARTÍNEZ-FLÓREZ CARLOS BARRERA-CAUSIL Proportional Hazard Birnbaum-Saunders Distribution With Application to the Survival Data Analysis Revista Colombiana de Estadística Birnbaum-Saunders Distribution Proportional Hazard Reliability Survival Data |
| title | Proportional Hazard Birnbaum-Saunders Distribution With Application to the Survival Data Analysis |
| title_full | Proportional Hazard Birnbaum-Saunders Distribution With Application to the Survival Data Analysis |
| title_fullStr | Proportional Hazard Birnbaum-Saunders Distribution With Application to the Survival Data Analysis |
| title_full_unstemmed | Proportional Hazard Birnbaum-Saunders Distribution With Application to the Survival Data Analysis |
| title_short | Proportional Hazard Birnbaum-Saunders Distribution With Application to the Survival Data Analysis |
| title_sort | proportional hazard birnbaum saunders distribution with application to the survival data analysis |
| topic | Birnbaum-Saunders Distribution Proportional Hazard Reliability Survival Data |
| url | http://www.scielo.org.co/scielo.php?script=sci_arttext&pid=S0120-17512016000100009&lng=en&tlng=en |
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