Next Article in Journal
A Prediction Model for the Potential Plastic Zone Induced by Tunnel Excavation Adjacent to a Pile Foundation in a Gravity Field
Next Article in Special Issue
Skewness of Maximum Likelihood Estimators in the Weibull Censored Data
Previous Article in Journal
Extremal Problems of Some Family of Holomorphic Functions of Several Complex Variables
Previous Article in Special Issue
An Asymmetric Distribution with Heavy Tails and Its Expectation–Maximization (EM) Algorithm Implementation
Open AccessArticle

Flexible Birnbaum–Saunders Distribution

1
Departamento de Matemáticas y Estadística, Facultad de Ciencias Básicas, Universidad de Córdoba, Córdoba 230027, Colombia
2
Departamento de Estadística e Investigación Operativa, Universidad de Sevilla, 41000 Sevilla, Spain
3
Departamento de Estatítica, IME, Universidade de São Paulo, São Paulo 01000, Brazil
4
Departamento de Matemáticas, Facultad de Ciencias Básicas, Universidad de Antofagasta, Antofagasta 1240000, Chile
*
Author to whom correspondence should be addressed.
Symmetry 2019, 11(10), 1305; https://doi.org/10.3390/sym11101305
Received: 5 September 2019 / Revised: 30 September 2019 / Accepted: 4 October 2019 / Published: 16 October 2019
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. View Full-Text
Keywords: flexible skew-normal distribution; skew Birnbaum–Saunders distribution; bimodality; maximum likelihood estimation; Fisher information matrix flexible skew-normal distribution; skew Birnbaum–Saunders distribution; bimodality; maximum likelihood estimation; Fisher information matrix
Show Figures

Figure 1

MDPI and ACS Style

Martínez-Flórez, G.; Barranco-Chamorro, I.; Bolfarine, H.; Gómez, H.W. Flexible Birnbaum–Saunders Distribution. Symmetry 2019, 11, 1305.

Show more citation formats Show less citations formats
Note that from the first issue of 2016, MDPI journals use article numbers instead of page numbers. See further details here.

Article Access Map by Country/Region

1
Back to TopTop