Probabilities on Cones of Multimatrix Variate Distributions and Elliptical Affine Shape Distributions Under Real Normed Division Algebras

Francisco J. Caro-Lopera () and José A. Díaz-García ()
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Francisco J. Caro-Lopera: Universidad de Medellín
José A. Díaz-García: Universidad Autónoma de Chihuahua

Sankhya A: The Indian Journal of Statistics, 2025, vol. 87, issue 2, No 4, 349-377

Abstract: Abstract This work proposes probabilities of multimatrix distributions and simplifies the affine shape theory under the setting of real normed division algebras and elliptically contoured laws. The contribution of the paper, valid for all real normed division algebras and elliptical distributions, involves: 1) computable probabilities for several matrices in multimatrix distributions; 2) computable probability for several multimatrix variate generalised Wishart distributions; 3) probability study of the multimatrix variate Pearson type II distribution; 4) a new setting for generalised estatistical shape theory; 5) a dynamic molecular docking based on matrix probabilities, under dependent samples of a reported inhibitor in two cavities of SARS-CoV-2.

Keywords: Multimatrix variate distributions; Matrix variate elliptical distributions; Probabilities on cones; Zonal polynomials; Real normed division algebras; Elliptical affine shape theory; 60E05; 62E15; 15A23; 15B52 (search for similar items in EconPapers)
Date: 2025
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DOI: 10.1007/s13171-025-00402-z

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