Noncentral elliptical configuration density

Authors:
Francisco J. Caro-Lopera;José A. Díaz-García;Graciela González-Farías
Affiliations:
Department of Basic Mathematics, Centro de Investigación en Matemáticas, Callejón de Jalisco s/n, Mineral de Valenciana, 36240 Guanajuato, Guanajuato, Mexico;Universidad Autónoma Agraria Antonio Narro, Department of Statistics and Computation, 25315 Buenavista, Saltillo, Coahuila, Mexico;Department of Statistics, Centro de Investigación en Matemáticas, Callejón de Jalisco s/n, Mineral de Valenciana, 36240 Guanajuato, Guanajuato, Mexico
Venue:
Journal of Multivariate Analysis
Year:
2010

Citing 1
Cited 4

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Abstract

The noncentral configuration density, derived under an elliptical model, generalizes and corrects the Gaussian configuration and some Pearson results. Partition theory is then used to obtain explicit configuration densities associated with matrix variate symmetric Kotz type distributions (including the normal distribution), matrix variate Pearson type VII distributions (including t and Cauchy distributions), the matrix variate symmetric Bessel distribution (including the Laplace distribution) and the matrix variate symmetric Jensen-logistic distribution.