1. Unit-bimodal Birnbaum-Saunders distribution with applications.
- Author
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Martínez-Flórez, Guillermo, Olmos, Neveka M., and Venegas, Osvaldo
- Subjects
- *
CENSORING (Statistics) , *RANDOM variables , *REGRESSION analysis , *PARAMETER estimation , *CUMULATIVE distribution function , *MAXIMUM likelihood statistics - 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. [ABSTRACT FROM AUTHOR]
- Published
- 2024
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