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Birnbaum-Saunders Distribution Based on Asymmetric Heavy-Tailed Distributions, Associated Inference, and Application

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Autor(es):
Maehara, Rocio ; Bolfarine, Heleno ; Vilca, Filidor ; Balakrishnan, N.
Número total de Autores: 4
Tipo de documento: Artigo Científico
Fonte: MATHEMATICAL METHODS OF STATISTICS; v. 34, n. 1, p. 20-pg., 2025-03-01.
Resumo

Birnbaum-Saunders (BS) distribution has received considerable attention in the statistical literature, both in applied and theoretical problems. Even though much work has been done on extensions of the BS distribution, there is still a need for models for predicting extreme percentiles and for fitting data that are highly concentrated on the left-tail of the distribution. This article proposes a robust extension of the BS distribution, based on scale mixtures of skew-normal distributions that can be used to model highly asymmetric data. This extension provides flexible heavy-tailed distributions which can be used in the robust estimation of parameters in the presence of outlying observations, as well as an EM-algorithm for the maximum likelihood estimation of model parameters. Finally, the proposed model and methods of inference are examined and illustrated by means of Monte Carlo simulation studies and a real data set. (AU)

Processo FAPESP: 22/06421-7 - Extensões da distribuição Birnbaum-Saunders multivariada e do associado modelos de regressão
Beneficiário:Filidor Edilfonso Vilca Labra
Modalidade de apoio: Bolsas no Exterior - Pesquisa
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