collaborators

7 papers

math.PR2025

A generalisation of the chance-constrained Charnes-Cooper approach

José A. Díaz-García, Francisco J. Caro-Lopra

A generalisation of the Charnes-Cooper chance-constrained approach is proposed in the setting of the family of elliptically contoured distributions. The new relaxed stochastic line…

math.ST2024

About the matrix variate problem involved in the distribution of

José A. Díaz-García, Francisco J. Caro-Lopera

This work studies the distribution of the nonsymmetric matrix . This random product is of fundamental interest under the general multivariate linear hypo…

math.ST2024

Matrix generalized elliptical binomial series under real normed division algebras and the central matrix variate beta distribution

Francisco J. Caro-Lopera, José A. Díaz-García

In this paper we provide a matrix extension of the scalar binomial series under elliptical contoured models and real normed division algebras. The classical hypergeometric series $…

math.ST2024

Matrix variate p-value in MANOVA

José A. Díaz-García, Francisco J. Caro-Lopera

The distribution functions of the matricvariate beta type I and II distributions are studied under real normed division algebras. The unified approach for real, complex, quaternion…

math.ST2024

Probabilities in multimatrix variate distributions: an application in SARS-CoV-2

Francisco J. Caro-Lopera, José A. Díaz-García

Recently the termed \emph{multimatrix variate distributions} were proposed in \citet{dgcl:24a} as an alternative for univariate and vector variate copulas. The distributions are ba…

math.ST2024

Multimatricvariate and multimatrix variate distributions based on elliptically contoured laws under real normed division algebras

José A. Díaz-García, Francisco J. Caro-Lopera

This paper proposes famillies of multimatricvariate and multimatrix variate distributions based on elliptically contoured laws in the context of real normed division algebras. The…