Advanced search
Start date
Betweenand


Theoretical results and modeling under the discrete Birnbaum-Saunders distribution

Full text
Author(s):
Vilca, Filidor ; Vila, Roberto ; Saulo, Helton ; Sanchez, Luis ; Leao, Jeremias
Total Authors: 5
Document type: Journal article
Source: COMMUNICATIONS IN STATISTICS-THEORY AND METHODS; v. N/A, p. 15-pg., 2022-08-07.
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. (AU)

FAPESP's process: 20/16713-0 - Parametric and semi-parametric regression models under the class of scale mixtures of normal distributions
Grantee:Caio Lucidius Naberezny Azevedo
Support Opportunities: Regular Research Grants