  Matrix variate beta (MVB) distributions are used in different fields of
hypothesis testing, multivariate correlation analysis, zero regression,
canonical correlation analysis and etc. In this approach a unified methodology
is proposed to generate matrix variate distributions by combining the kernel of
MVB distributions of different types with an unknown Borel measurable function
of trace operator over matrix space, called generator component. The latter
component is a principal element of these newly defined generator type matrix
variate distributions. The matrix variate Kummer beta distribution is amongst
others a special case. Several statistical properties of this newly defined
family of distributions are derived. In the conclusion other extensions and
developments are discussed.
