Theoretical results and modeling under the discrete Birnbaum-Saunders distribution

Filidor Vilca, Roberto Vila, Helton Saulo, Luis Sánchez and Jeremias Leão

Communications in Statistics - Theory and Methods, 2024, vol. 53, issue 5, 1745-1759

Abstract: 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.

Date: 2024
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DOI: 10.1080/03610926.2022.2110843

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