Theoretical results and modeling under the discrete Birnbaum-Saunders distribution

Autor:	Vilca, Filidor, Vila, Roberto, Saulo, Helton, Sánchez, Luis, Leão, Jeremias
Rok vydání:	2022
Předmět:	Statistics - Methodology
Druh dokumentu:	Working Paper
Popis:	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. Comment: 17 pages, 7 figures
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2203.02639 Zobrazit plný text záznamu View this record from Arxiv