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Theoretical results and modeling under the discrete Birnbaum-Saunders distribution

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Autor(es):
Vilca, Filidor ; Vila, Roberto ; Saulo, Helton ; Sanchez, Luis ; Leao, Jeremias
Número total de Autores: 5
Tipo de documento: Artigo Científico
Fonte: COMMUNICATIONS IN STATISTICS-THEORY AND METHODS; v. N/A, p. 15-pg., 2022-08-07.
Resumo

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)

Processo FAPESP: 20/16713-0 - Modelos de regressão paramétrico e semi-paramétrico sob a classe de distribuições misturas de escala skew-normal
Beneficiário:Caio Lucidius Naberezny Azevedo
Modalidade de apoio: Auxílio à Pesquisa - Regular