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Revista Integración
versão impressa ISSN 0120-419X
Integración - UIS vol.35 no.1 Bucaramanga jan./jun. 2017
https://doi.org/10.18273/revint.v35n1-2017004
Original article
Power Birnbaum-Saunders Student t distribution
Distribución Birnbaum-Saunders Potencia t de Student
1Universidad Industrial de Santander, Escuela de Matemáticas, Bucaramanga, Colombia.
2Universidad de Córdoba, Departamento de Matemáticas y Estadística, Montería, Colombia.
3Universidade de São Paulo, Departamento de Estatística, São Paulo, Brazil.
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.
Keywords: Birnbaum-Saunders distribution; alpha-power distribution; power Student t distribution
La distribución de probabilidad propuesta por Birnbaum y Saunders se ha usado con bastante eficacia para modelar tiempos de falla de materiales sujetos a la fátiga. En este artículo definimos una extensión de la distribución Birnbaum-Saunders clásica sustituyendo la distribución normal por la distribución potencia t de Student. La nueva distribución es más flexible que la distribución Birnbaum-Saunders clásica en términos de asimetría y curtosis. Presentamos los estimadores de máxima verosimilitud de los parámetros del modelo y su modelo de regresión asociado. El análisis de dos aplicaciones con datos reales revelan una superioridad del nuevo modelo con relación a otros modelos existentes en la literatura
Palabras clave: Distribución Birnbaum-Saunders; distribución alfa potencia; distribución potencia t de Student
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Received: November 2015; Accepted: May 2017
This is an open-access article distributed under the terms of the Creative Commons Attribution License
