On a bimodal Birnbaum-Saunders distribution with applications to lifetime data
Statistics Theory
2020-07-27 v2 Applications
Statistics Theory
Abstract
The Birnbaum-Saunders distribution is a flexible and useful model which has been used in several fields. In this paper, a new bimodal version of this distribution based on the alpha-skew-normal distribution is established. We discuss some of its mathematical and inferential properties. We consider likelihood-based methods to estimate the model parameters. We carry out a Monte Carlo simulation study to evaluate the performance of the maximum likelihood estimators. For illustrative purposes, three real data sets are analyzed. The results indicated that the proposed model outperformed some existing models in the literature, in special, a recent bimodal extension of the Birnbaum-Saunders distribution.
Cite
@article{arxiv.1801.05465,
title = {On a bimodal Birnbaum-Saunders distribution with applications to lifetime data},
author = {Roberto Vila and Jeremias Leão and Helton Saulo and Mirza Nabeed and Manoel Santos-Neto},
journal= {arXiv preprint arXiv:1801.05465},
year = {2020}
}
Comments
31 pages, 5 figures