dc.contributor.author | Díaz-García J.A | |
dc.contributor.author | Caro-Lopera F.J. | |
dc.date.accessioned | 2024-07-31T21:07:22Z | |
dc.date.available | 2024-07-31T21:07:22Z | |
dc.date.created | 2023 | |
dc.identifier.issn | 3610926 | |
dc.identifier.uri | http://hdl.handle.net/11407/8556 | |
dc.description | This 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. | |
dc.language.iso | eng | |
dc.publisher | Bellwether Publishing, Ltd. | |
dc.relation.isversionof | https://www.scopus.com/inward/record.uri?eid=2-s2.0-85108327170&doi=10.1080%2f03610926.2021.1937650&partnerID=40&md5=18a20670754e404dfdec4c6909cfcb05 | |
dc.source | Communications in Statistics - Theory and Methods | |
dc.source | Commun Stat Theory Methods | |
dc.source | Scopus | |
dc.subject | Birnbaum–Saunders distribution | eng |
dc.subject | Hausdorff measure | eng |
dc.subject | singular elliptical distributions | eng |
dc.subject | Singular matrix variate distributions | eng |
dc.subject | Communication | eng |
dc.subject | Mathematical techniques | eng |
dc.subject | Statistics | eng |
dc.subject | Birnbaum | eng |
dc.subject | Birnbaum-saunders distribution | eng |
dc.subject | Hausdorff measures | eng |
dc.subject | Matrix variates | eng |
dc.subject | Singular distributions | eng |
dc.subject | Singular matrices | eng |
dc.subject | Statistical methods | eng |
dc.title | Singular matrix variate Birnbaum-Saunders distribution under elliptical models | eng |
dc.type | article | |
dc.rights.accessrights | info:eu-repo/semantics/restrictedAccess | |
dc.type.spa | Artículo | |
dc.identifier.doi | 10.1080/03610926.2021.1937650 | |
dc.relation.citationvolume | 52 | |
dc.relation.citationissue | 6 | |
dc.relation.citationstartpage | 1653 | |
dc.relation.citationendpage | 1667 | |
dc.publisher.faculty | Facultad de Ciencias Básicas | spa |
dc.affiliation | Díaz-García, J.A., Faculty of Basic Sciences, Universidad de Medellín, Medellín, Colombia | |
dc.affiliation | Caro-Lopera, F.J., Faculty of Basic Sciences, Universidad de Medellín, Medellín, Colombia | |
dc.relation.references | Balakrishnan, 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.references | Billingsley, P., (1986) Probability and measure, , 2nd ed, New York: John Wiley & Sons | |
dc.relation.references | Birnbaum, Z.W., Saunders, S.C., A new family of life distributions (1969) Journal of Applied Probability, 6, pp. 637-652 | |
dc.relation.references | Bodnar, 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.references | Caro-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.references | Caro-Lopera, F.J., Díaz-García, J.A., Diagonalization matrix and its application in distribution theory (2016) Statistics, 50 (4), pp. 870-880 | |
dc.relation.references | Desmond, A., Stochastic models of failure in random environments (1985) Canadian Journal of Statistics, 13 (3), pp. 171-183 | |
dc.relation.references | Díaz-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.references | Díaz-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.references | Díaz-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.references | Díaz-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.references | Díaz-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.references | Díaz-García, J.A., González-Farías, G., Singular random matrix decompositions: Jacobians (2005) Journal of Multivariate Analysis, 93 (2), pp. 296-312 | |
dc.relation.references | Díaz-García, J.A., González-Farías, G., Singular random matrix decompositions: Distributions (2005) Journal of Multivariate Analysis, 94 (1), pp. 109-122 | |
dc.relation.references | Díaz-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.references | Dı́az-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.references | Díaz-García, J.A., Gutiérrez, J.R., Functions of singular random matrices and its applications (2005) TEST, 14 (2), pp. 475-487 | |
dc.relation.references | Díaz-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.references | Díaz-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.references | Dı́az-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.references | Díaz-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.references | Khatri, C.G., Some results for the singular normal multivariate regression models (1968) Sankhyā A, 30, pp. 267-280 | |
dc.relation.references | Mathai, A.M., (1997), Jacobian of matrix transformations and functions of matrix argument, World Scientific, Singapore | |
dc.relation.references | Muirhead, R.J., (2005) Aspects of multivariate statistical theory, , New York: John Wiley & Sons | |
dc.relation.references | Rao, C.R., (2005) Linear statistical inference and its applications, , New York: John Wiley & Sons,. 2nd ed | |
dc.relation.references | Uhlig, H., On singular Wishart and singular multivariate beta distributions (1994) The Annals of Statistics, 22 (1), pp. 395-405 | |
dc.relation.references | Sánchez, 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.references | Zhang, Z., Pseudo-inverse multivariate/matrix-variate distributions (2007) Journal of Multivariate Analysis, 98 (8), pp. 1684-1692 | |
dc.type.version | info:eu-repo/semantics/publishedVersion | |
dc.identifier.reponame | reponame:Repositorio Institucional Universidad de Medellín | |
dc.identifier.repourl | repourl:https://repository.udem.edu.co/ | |
dc.identifier.instname | instname:Universidad de Medellín | |