Determinants, permanents and some applications to statistical shape theory

Francisco J. Caro-Lopera, Graciela González-Farías, N. Balakrishnan

Resultado de la investigación: Contribución a una revistaArtículo

Resumen

A formula for the determinant of a matrix in terms of powers of traces is presented. Then, some expansions for powers of determinants of positive definite matrices in terms of zonal polynomials are derived. By making use of these, the associated elliptical families of matrixvariate distributions are obtained and applied in the framework of statistical shape theory, through the determination of the central non-isotropic configuration density. Finally, a relationship between the determinant and the permanent of a matrix is obtained. © 2012 Elsevier Inc.
Idioma originalInglés estadounidense
Páginas (desde-hasta)29-39
Número de páginas11
PublicaciónJournal of Multivariate Analysis
Volumen114
N.ºna
DOI
EstadoPublicada - 1 ene 2013

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