Iranian Statistical Society Journal of the Iranian Statistical Society 1726-4057 20 1 2022 07 23 Matrix-Variate Beta Generator - Developments and Application 289 306 253819 10.52547/jirss.20.1.289 EN Janet Van Niekerk University of Pretoria, Department of Statistics, Pretoria, South Africa Andriette Bekker University of Pretoria, Department of Statistics, Pretoria, South Africa Mohammad Arashi Ferdowsi University of Mashhad, Department of Statistics, Mashhad, Iran 0000-0002-5881-9241 Journal Article 2022 07 23 Matrix-variate beta distributions are applied in different fields of hypothesis testing, multivariate correlation analysis, zero regression, canonical correlation analysis and etc. A methodology 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. https://jirss.irstat.ir/article_253819_c9a80e9d822cfe62e42d8dc34ab0415b.pdf