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...

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Bibliographic Details
Main Authors: Guillermo Martínez-Flórez, Inmaculada Barranco-Chamorro, Heleno Bolfarine, Héctor W. Gómez
Format: Article
Language:English
Published: MDPI AG 2019-10-01
Series:Symmetry
Subjects:
Online Access:https://www.mdpi.com/2073-8994/11/10/1305
Description
Summary: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.
ISSN:2073-8994