5 papers
Some comments about measures, Jacobians and Moore-Penrose inverse
José A. Díaz-García, Francisco J. Caro-Lopera
Some general problems of Jacobian computations in non-full rank matrices are discussed in this work. In particular, the Jacobian of the Moore-Penrose inverse derived via matrix dif…
Multimatricvariate distribution under elliptical models
José A. Díaz-García, Frencisco J. Caro-Lopera
A new family of matrix variate distributions indexed by elliptical models are proposed in this work. The so called \emph{multimatricvariate distributions} emerge as a generalizatio…
Estimation of mean form and mean form difference under elliptical laws
José A. Díaz-García, Francisco J. Caro-Lopera
Some ideas studied by Lele (1993), under a Gaussian perturbation model, are generalised in the setting of matrix multivariate elliptical distributions. In particular, several inacc…
Polynomial Eulerian shape distributions
Francisco J. Caro-Lopera, José A. Díaz-García
In this paper a new approach is derived in the context of shape theory. The implemented methodology is motivated in an open problem proposed in \citet{GM93} about the construction…
Generalised shape theory via pseudo-Wishart distribution
José A. Díaz-García, Francisco J. Caro-Lopera
The non isotropic noncentral elliptical shape distributions via pseudo-Wishart distribution are founded. This way, the classical shape theory is extended to non isotropic case and…