Unit-bimodal Birnbaum-Saunders distribution with applications
Unit-bimodal Birnbaum-Saunders distribution with applications
Authors
Martinez Florez, Guillermo
Olmos, Neveka M.
Venegas, Osvaldo
Olmos, Neveka M.
Venegas, Osvaldo
Profesor GuĆa
Authors
Date
Datos de publicaciĆ³n:
10.1080/03610918.2022.2069260
COMMUNICATIONS IN STATISTICS-SIMULATION AND COMPUTATION,Vol.,2022
COMMUNICATIONS IN STATISTICS-SIMULATION AND COMPUTATION,Vol.,2022
Tipo de recurso
Keywords
Materia geogrƔfica
Collections
Abstract
In this paper, we consider a transformation in a random variable which follows a bimodal Birnbaum-Saunders distribution. We propose the unit-bimodal Birnbaum-Saunders (UBBS) distribution and investigate some of its important properties, like cumulative distribution function, moments, survival function and risk function. We apply the UBBS distribution to censored data inflated at zero and one. We used the maximum likelihood approach for parameter estimation and to compare the models. Given the flexibility in UBBS distribution modes, our proposal performs best in beta regression models with zero and/or one excess.