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<p>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.</p>

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

  • 期刊论文

  • 发表日期：

    2025年7月30日

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

摘要

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.