Article
Flexible Log-Linear Birnbaum–Saunders Model
Author/s | Martínez Florez, Guillermo
Barranco Chamorro, Inmaculada Gómez, Héctor W. |
Department | Universidad de Sevilla. Departamento de Estadística e Investigación Operativa |
Publication Date | 2021-05-24 |
Deposit Date | 2021-06-21 |
Published in |
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Abstract | Rieck and Nedelman (1991) introduced the sinh-normal distribution. This model was built as a transformation of a N(0,1) distribution. In this paper, a generalization based on a flexible skew normal distribution is introduced. ... Rieck and Nedelman (1991) introduced the sinh-normal distribution. This model was built as a transformation of a N(0,1) distribution. In this paper, a generalization based on a flexible skew normal distribution is introduced. In this way, a more general model is obtained that can describe a range of asymmetric, unimodal and bimodal situations. The paper is divided into two parts. First, the properties of this new model, called flexible sinh-normal distribution, are obtained. In the second part, the flexible sinh-normal distribution is related to flexible Birnbaum–Saunders, introduced by Martínez-Flórez et al. (2019), to propose a log-linear model for lifetime data. Applications to real datasets are included to illustrate our findings. |
Citation | Martínez Florez, G., Barranco Chamorro, I. y Gómez, H.W. (2021). Flexible Log-Linear Birnbaum–Saunders Model. Mathematics, 9 (11), 1188-1-1188-23. |
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