15 citations · 84 across the 40 of their papers we have counts for
9 papers · 1 filter
Shape theory via affine transformation: Some generalisations
Jose A. Diaz-Garcia, Francisco J. Caro-Lopera
This work sets the statistical affine shape theory in the context of real normed division algebras. The general densities apply for every field: real, complex, quaternion, octonion…
Central matricvariate and matrix multivariate T distributions
Jose A. Diaz-Garcia, Ramon Gutierrez-Jaimez
Several distributions are studied, simultaneously in the real, complex, quaternion and octonion cases. Specifically, these are the central, nonsingular matricvariate and matrix mul…
Matricvariate and matrix multivariate Pearson type II distributions
Jose A. Diaz-Garcia, Ramon Gutierrez-Jaimez
This paper proposes a unified approach to enable the study of diverse distributions in the real, complex, quaternion and octonion cases, simultaneously. In particular, the central,…
On Wishart distribution
Jose A. Diaz-Garcia, Ramon Gutierrez-Jaimez
This paper proposes a unified approach that enables the Wishart distribution to be studied simultaneously in the real, complex, quaternion and octonion cases. In particular, the no…
An identity of Jack polynomials
Jose A. Diaz-Garcia, Ramon Gutierrez-Jaimez
In this work it is propose an alterative proof of one of basic properties of the zonal polynomials. This identity is generalised for the Jack polynomials.
Shape theory via polar decomposition
Jose A. Diaz-Garcia, Francisco J. Caro-Lopera
This work proposes a new model in the context of statistical theory of shape, based on the polar decomposition. The non isotropic noncentral elliptical shape distributions via pola…