On matrix-variate Birnbaum–Saunders distributions and their estimation and application

dc.contributor.affiliationInstituto de Estadística, Universidad de Valparaíso, Chilespa
dc.contributor.affiliationUniversidad Adolfo Ibáñez, Chilespa
dc.contributor.affiliationDepartamento de Ciencias Básicas, Universidad de Medellín, Colombiaspa
dc.contributor.affiliationDepartamento de Estatística, Universidade Federal de Pernambuco, Brazilspa
dc.contributor.authorSánchez L.
dc.contributor.authorLeiva V.
dc.contributor.authorCaro-Lopera F.J.
dc.contributor.authorCysneiros F.J.A.
dc.date.accessioned2015-12-17T19:27:46Z
dc.date.available2015-12-17T19:27:46Z
dc.date.issued2015
dc.descriptionDiverse phenomena from the real-world can be modeled using random matrices, allowing matrix-variate distributions to be considered. The normal distribution is often employed in this modeling, but usually the mentioned random matrices do not follow such a distribution. An asymmetric non-normal model that is receiving considerable attention due to its good properties is the Birnbaum–Saunders (BS) distribution. We propose a statistical methodology based on matrix-variate BS distributions. This methodology is implemented in the statistical software R. A simulation study is conducted to evaluate its performance. Finally, an application with real-world matrix-variate data is carried out to illustrate its potentiality and suitability.eng
dc.identifier.doi10.1214/14-BJPS247
dc.identifier.issn1030752
dc.identifier.urihttp://hdl.handle.net/11407/1554
dc.language.isoeng
dc.publisherBrazilian Statistical Associationspa
dc.relation.ispartofBrazilian Journal of Probability and Statistics, 2015, volume 29, issue 4, pp 790-812eng
dc.relation.isversionofhttps://projecteuclid.org/euclid.bjps/1442513447
dc.rights.accessrightsinfo:eu-repo/semantics/restrictedAccess
dc.sourceScopusspa
dc.subject.proposalComputer languageeng
dc.subject.proposalData analysiseng
dc.subject.proposalElliptically contoured distributioneng
dc.subject.proposalMaximum likelihood estimatoreng
dc.subject.proposalMonte Carlo methodeng
dc.subject.proposalShape theoryeng
dc.titleOn matrix-variate Birnbaum–Saunders distributions and their estimation and applicationeng
dc.typeArticle
dc.type.driverinfo:eu-repo/semantics/article

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