Generalized modified slash Birnbaum-Saunders distribution

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dc.contributor.authorReyes, Jimmy
dc.contributor.authorBarranco-Chamorro, Inmaculada
dc.contributor.authorGallardo, Diego I.
dc.contributor.authorGómez, Héctor W.
dc.date.accessioned2024-04-22T23:08:44Z
dc.date.available2024-04-22T23:08:44Z
dc.date.issued2018
dc.description.abstractIn this paper, a generalization of the modified slash Birnbaum–Saunders (BS) distribution is introduced. The model is defined by using the stochastic representation of the BS distribution, where the standard normal distribution is replaced by a symmetric distribution proposed by Reyes et al. It is proved that this new distribution is able to model more kurtosis than other extensions of BS previously proposed in the literature. Closed expressions are given for the pdf (probability density functio), along with their moments, skewness and kurtosis coefficients. Inference carried out is based on modified moments method and maximum likelihood (ML). To obtain ML estimates, two approaches are considered: Newton–Raphson and EM-algorithm. Applications reveal that it has potential for doing well in real problems.
dc.identifier.doi10.3390/sym10120724
dc.identifier.issn2073-8994
dc.identifier.urihttps://repositorioabierto.uantof.cl/handle/uantof/360
dc.language.isoen
dc.publisherMDPI
dc.rightsAttribution 4.0 International
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/
dc.sourceSymmetry
dc.subjectBirnbaum–Saunders distribution
dc.subjectgeneralized modified slash distribution
dc.subjectkurtosis
dc.subjectmaximum likelihood
dc.subjectEM-algorithm
dc.titleGeneralized modified slash Birnbaum-Saunders distribution
dc.typeArticle
oaire.citation.issue724
oaire.citation.volume10
organization.identifier.rorhttps://ror.org/04eyc6d95
organization.legalNameUniversidad de Antofagasta
uantof.identificator.departmentDepartamento de Matemáticas
uantof.identificator.facultyFacultad de Ciencias Básicas
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