15 citations · 84 across the 40 of their papers we have counts for
6 papers · 1 filter
Distributions on symmetric cones I: Riesz distribution
Jose A. Diaz-Garcia
The Riesz distribution for real normed division algebras is derived in this work. Then two versions of these distributions are proposed and some of their properties are studied.
Distribution theory of quadratic forms with matrix argument
Jose A. Diaz-Garcia
This paper proposes the density and characteristic functions of a general matrix quadratic form , when , has a…
Asymptotic normality of the optimal solution in multiresponse surface methodology
José A. Díaz-García, Francisco J. Caro-Lopera
In this work is obtained an explicit form for the perturbation effect on the matrix of regression coefficients on the optimal solution in multiresponse surface methodology. Then, t…
Jacobians of singular matrix transformations: Extensions
Jose A. Diaz-Garcia, Ramón Gutierrez-Sanchez
This article presents a unified approach to simultaneously compute the Jacobians of several singular matrix transformations in the real, complex, quaternion and octonion cases. For…
Response surface methodology: Asymptotic normality of the optimal solution
Jose A. Diaz-Garcia, Jose E. Rodriguez, Rogelio Ramos-Quiroga
Sensitivity analysis of the optimal solution in response surface methodology is studied and an explicit form of the effect of perturbation of the regression coefficients on the opt…
Matrix Kummer-Pearson VII Relation and its Application in Affine Shape
Francisco J. Caro-Lopera, Jose A. Diaz-Garcia
A case of the matrix Kummer relation of Herz (1955) based on the Pearson VII type matrix model is derived in this paper. As a consequence, the polynomial Pearson VII configuration…