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dc.contributor.author
Leiva, Ricardo Anibal
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dc.contributor.author
Roy, Anuradha
dc.date.available
2023-05-29T11:25:48Z
dc.date.issued
2012-06
dc.identifier.citation
Leiva, Ricardo Anibal; Roy, Anuradha; Linear discrimination for three-level multivariate data with a separable additive mean vector and a doubly exchangeable covariance structure; Elsevier Science; Computational Statistics and Data Analysis; 56; 6; 6-2012; 1644-1661
dc.identifier.issn
0167-9473
dc.identifier.uri
http://hdl.handle.net/11336/198694
dc.description.abstract
In this article, we study a new linear discriminant function for three-level m-variate observations under the assumption of multivariate normality. We assume that the m-variate observations have a doubly exchangeable covariance structure consisting of three unstructured covariance matrices for three multivariate levels and a separable additive structure on the mean vector. The new discriminant function is very efficient in discriminating individuals in a small sample scenario. An iterative algorithm is proposed to calculate the maximum likelihood estimates of the unknown population parameters as closed form solutions do not exist for these unknown parameters. The new discriminant function is applied to a real data set as well as to simulated data sets. We compare our findings with other linear discriminant functions for three-level multivariate data as well as with the traditional linear discriminant function.
dc.format
application/pdf
dc.language.iso
eng
dc.publisher
Elsevier Science
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dc.rights
info:eu-repo/semantics/openAccess
dc.rights.uri
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.subject
ADDITIVE MEAN STRUCTURE
dc.subject
DOUBLY EXCHANGEABLE COVARIANCE STRUCTURE
dc.subject
LINEAR DISCRIMINANT FUNCTION
dc.subject
MAXIMUM LIKELIHOOD ESTIMATES
dc.subject.classification
Estadística y Probabilidad
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dc.subject.classification
Matemáticas
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dc.subject.classification
CIENCIAS NATURALES Y EXACTAS
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dc.title
Linear discrimination for three-level multivariate data with a separable additive mean vector and a doubly exchangeable covariance structure
dc.type
info:eu-repo/semantics/article
dc.type
info:ar-repo/semantics/artículo
dc.type
info:eu-repo/semantics/publishedVersion
dc.date.updated
2023-05-24T14:25:15Z
dc.journal.volume
56
dc.journal.number
6
dc.journal.pagination
1644-1661
dc.journal.pais
Países Bajos
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dc.journal.ciudad
Amsterdam
dc.description.fil
Fil: Leiva, Ricardo Anibal. Universidad Nacional de Cuyo; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Mendoza; Argentina
dc.description.fil
Fil: Roy, Anuradha. University of Texas; Estados Unidos
dc.journal.title
Computational Statistics and Data Analysis
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dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/https://www.sciencedirect.com/science/article/pii/S0167947311003641
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.1016/j.csda.2011.10.007
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