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4 papers · 1 filter
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…
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…
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…
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…