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dc.contributor.authorDíaz-García J.A
dc.contributor.authorCaro-Lopera F.J.
dc.date.accessioned2022-09-14T14:34:06Z
dc.date.available2022-09-14T14:34:06Z
dc.date.created2021
dc.identifier.issn3610926
dc.identifier.urihttp://hdl.handle.net/11407/7564
dc.descriptionThis work sets the matrix variate Birnbaum–Saunders theory in the context of singular distributions and elliptical models. The termed singular matrix variate generalized Birnbaum–Saunders distribution is obtained with respect the Hausdorff measure. Several basic properties and particular cases of this distribution are also derived. © 2021 Taylor & Francis Group, LLC.eng
dc.language.isoeng
dc.publisherBellwether Publishing, Ltd.
dc.relation.isversionofhttps://www.scopus.com/inward/record.uri?eid=2-s2.0-85108327170&doi=10.1080%2f03610926.2021.1937650&partnerID=40&md5=18a20670754e404dfdec4c6909cfcb05
dc.sourceCommunications in Statistics - Theory and Methods
dc.titleSingular matrix variate Birnbaum-Saunders distribution under elliptical models
dc.typeArticle
dc.rights.accessrightsinfo:eu-repo/semantics/restrictedAccess
dc.publisher.programCiencias Básicas
dc.type.spaArtículo
dc.identifier.doi10.1080/03610926.2021.1937650
dc.subject.keywordBirnbaum–Saunders distributioneng
dc.subject.keywordHausdorff measureeng
dc.subject.keywordsingular elliptical distributionseng
dc.subject.keywordSingular matrix variate distributionseng
dc.subject.keywordCommunicationeng
dc.subject.keywordMathematical techniqueseng
dc.subject.keywordStatisticseng
dc.subject.keywordBirnbaumeng
dc.subject.keywordBirnbaum-saunders distributioneng
dc.subject.keywordHausdorff measureseng
dc.subject.keywordMatrix variateseng
dc.subject.keywordSingular distributionseng
dc.subject.keywordSingular matriceseng
dc.subject.keywordStatistical methodseng
dc.publisher.facultyFacultad de Ciencias Básicas
dc.affiliationDíaz-García, J.A., Faculty of Basic Sciences, Universidad de Medellín, Medellín, Colombia
dc.affiliationCaro-Lopera, F.J., Faculty of Basic Sciences, Universidad de Medellín, Medellín, Colombia
dc.relation.referencesBalakrishnan, N., Kundu, D., (2018), Birnbaum-Saunders distribution: A review of model, analysis and applications (with discussion). Appl. Stoch. Models Bus. Ind. (To appear
dc.relation.referencesBillingsley, P., (1986) Probability and measure, , 2nd ed, New York: John Wiley & Sons
dc.relation.referencesBirnbaum, Z.W., Saunders, S.C., A new family of life distributions (1969) Journal of Applied Probability, 6, pp. 637-652
dc.relation.referencesBodnar, T., Okhrin, Y., Properties of the singular, inverse and generalized inverse partitioned Wishart distributions (2008) Journal of Multivariate Analysis, 99 (10), pp. 2389-2405
dc.relation.referencesCaro-Lopera, F.J., Leiva, V., Balakrishnan, N., Connection between the Hadamard and matrix products with an application to matrix-variate Birnbaum-Saunders distributions (2012) Journal of Multivariate Analysis, 104 (1), pp. 126-139
dc.relation.referencesCaro-Lopera, F.J., Díaz-García, J.A., Diagonalization matrix and its application in distribution theory (2016) Statistics, 50 (4), pp. 870-880
dc.relation.referencesDesmond, A., Stochastic models of failure in random environments (1985) Canadian Journal of Statistics, 13 (3), pp. 171-183
dc.relation.referencesDíaz-García, J.A., A note about measures and Jacobians of singular random matrices (2007) Journal of Multivariate Analysis, 98 (5), pp. 960-969
dc.relation.referencesDíaz-García, J.A., Caro-Lopera, F.J., Matrix variate Birnbaum-Saunders distribution under elliptical models (2021) Journal of Statistical Planning and Inference, 210, pp. 100-113
dc.relation.referencesDíaz-García, J.A., Caro-Lopera, F.J., Discussion of “Birnbaum-Saunders distribution: A review of models, analysis, and applications” by N. Balakrishnan and D. Kundu (2018) Applied Stochastic Models in Business and Industry, 35 (1), pp. 104-109
dc.relation.referencesDíaz-García, J.A., Domínguez Molina, J.R., Some generalisations of Birnbaum-Saunders and Sinh-normal distributions (2006) International Mathematical Forum, 1 (35), pp. 1709-1727
dc.relation.referencesDíaz-García, J.A., Domínguez Molina, J.R., A new family of life distributions for dependent data: Estimation (2007) Computational Statistics & Data Analysis, 51 (12), pp. 5927-5939
dc.relation.referencesDíaz-García, J.A., González-Farías, G., Singular random matrix decompositions: Jacobians (2005) Journal of Multivariate Analysis, 93 (2), pp. 296-312
dc.relation.referencesDíaz-García, J.A., González-Farías, G., Singular random matrix decompositions: Distributions (2005) Journal of Multivariate Analysis, 94 (1), pp. 109-122
dc.relation.referencesDíaz-García, J.A., Gutiérrez, J.R., Proof of the conjectures of H. Uhlig on the singular multivariate beta and Jacobian of a certain matrix transformation (1997) The Annals of Statistics, 25 (5), pp. 2018-2023
dc.relation.referencesDı́az-Garcı́a, J.A., Jáimez, R.G., Mardia, K.V., Wishart and pseudo-Wishart distributions and some applications to shape theory (1997) Journal of Multivariate Analysis, 63 (1), pp. 73-87
dc.relation.referencesDíaz-García, J.A., Gutiérrez, J.R., Functions of singular random matrices and its applications (2005) TEST, 14 (2), pp. 475-487
dc.relation.referencesDíaz-García, J.A., Gutiérrez, J.R., Distribution of the generalised inverse of a random matrix and its applications (2006) Journal of Statistical Planning and Inference, 136 (1), pp. 183-192
dc.relation.referencesDíaz-García, J.A., Gutiérrez, J.R., Wishart and Pseudo-Wishart distributions under elliptical laws and related distributions in the shape theory context (2006) Journal of Statistical Planning and Inference, 136 (12), pp. 4176-4193
dc.relation.referencesDı́az-Garcı́a, J.A., Leiva-Sánchez, V., A new family of life distributions based on elliptically contoured distributions (2005) Journal of Statistical Planning and Inference, 128 (2), pp. 445-457
dc.relation.referencesDíaz-García, J.A., Leiva-Sánchez, V., Erratum to “A new family of life distributions based on the elliptically contoured distributions.” [J. Statist. Plann. Inference 128(2) (2005) 445-457] (2006) Journal of Statistical Planning and Inference, 137 (4), pp. 1512-1513
dc.relation.referencesKhatri, C.G., Some results for the singular normal multivariate regression models (1968) Sankhyā A, 30, pp. 267-280
dc.relation.referencesMathai, A.M., (1997), Jacobian of matrix transformations and functions of matrix argument, World Scientific, Singapore
dc.relation.referencesMuirhead, R.J., (2005) Aspects of multivariate statistical theory, , New York: John Wiley & Sons
dc.relation.referencesRao, C.R., (2005) Linear statistical inference and its applications, , New York: John Wiley & Sons,. 2nd ed
dc.relation.referencesUhlig, H., On singular Wishart and singular multivariate beta distributions (1994) The Annals of Statistics, 22 (1), pp. 395-405
dc.relation.referencesSánchez, L., Leiva, V., Caro-Lopera, F., Cysneiros, F.J., On matrix-variate Birnbaum-Saunders distributions and their estimation and application (2015) Brazilian Journal of Probability and Statistics, 29 (4), pp. 790-812
dc.relation.referencesZhang, Z., Pseudo-inverse multivariate/matrix-variate distributions (2007) Journal of Multivariate Analysis, 98 (8), pp. 1684-1692
dc.type.coarhttp://purl.org/coar/resource_type/c_6501
dc.type.versioninfo:eu-repo/semantics/publishedVersion
dc.type.driverinfo:eu-repo/semantics/article
dc.identifier.reponamereponame:Repositorio Institucional Universidad de Medellín
dc.identifier.repourlrepourl:https://repository.udem.edu.co/
dc.identifier.instnameinstname:Universidad de Medellín


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