2022/03/05 by Vilca, Filidor, Vila, Roberto, Saulo, Helton +2
#FOS: Computer and information sciences #Methodology (stat.ME)
paper · doi:10.48550/arxiv.2203.02639
In this paper, we discuss some theoretical results and properties of a discrete version of the Birnbaum-Saunders distribution. We present a proof of the unimodality of this model. Moreover, results on moments, quantile function, reliability and order statistics are also presented. In addition, we propose a regression model based on the discrete Birnbaum-Saunders distribution. The model parameters are estimated by the maximum likelihood method and a Monte Carlo study is performed to evaluate the performance of the estimators. Finally, we illustrate the proposed methodology with the use of real data sets.