Van Niekerk, JanetBekker, Andriette, 1958-Arashi, Mohammad2022-08-302022-08-302021-04-03Van Niekerk, J., Bekker, A. & Arasji, M. 2021, 'Matrix-variate beta generator - developments and application', JIRSS Journal of the Iranian Statistical Society, vol. 20, no. 1, pp. 289-306, doi : 10.52547/jirss.20.1.289.1726-4057 (print)2538-189X (online)10.52547/jirss.20.1.289https://repository.up.ac.za/handle/2263/87008Matrix-variate beta distributions are applied in di erent fields of hypothesis testing, multivariate correlation analysis, zero regression, canonical correlation analysis and etc. Amethodology is proposed to generate matrix-variate beta generator distributions by combining the matrix-variate beta kernel with an unknown function of the trace operator. Several statistical characteristics, extensions and developments are presented. Special members are then used in a univariate and multivariate Bayesian analysis setting. These models are fitted to simulated and real datasets, and their fitting and performance are compared to well-established competitors.enThis work is licensed under a Creative Commons Attribution-NonCommercial 3.0.Bayesian analysisBinomialEigenvaluesGaussian sampleGibbs samplingMatrix-variate betaArticle