Noncentral bimatrix variate generalised beta distributions
Jose A. Diaz-Garcia, Ramon Gutierrez-Jaimez
TL;DR
This paper derives the density functions for nonsymmetrised doubly noncentral matrix variate beta distributions and their bimatrix generalizations, expanding the theoretical understanding of these complex distributions.
Contribution
It introduces explicit density functions for nonsymmetrised doubly noncentral and noncentral bimatrix variate beta distributions, a novel theoretical development.
Findings
Derived density functions for nonsymmetrised doubly noncentral beta distributions
Extended results to bimatrix variate generalised beta distributions
Enhanced theoretical framework for noncentral matrix variate distributions
Abstract
In this paper, we determine the density functions of nonsymmetrised doubly noncentral matrix variate beta type I and II distributions. The nonsymetrised density functions of doubly noncentral and noncentral bimatrix variate generalised beta type I and II distributions are also obtained.
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Taxonomy
TopicsAdvanced Mathematical Theories · Blind Source Separation Techniques · Bayesian Methods and Mixture Models