  Some tools and ideas are interchanged between random matrix theory and
multivariate statistics. In the context of the random matrix theory, classes of
spherical and generalised Wishart random matrix ensemble, containing as
particular cases the classical random matrix ensembles, are proposed. Some
properties of these classes of ensemble are analysed. In addition, the random
matrix ensemble approach is extended and a unified theory proposed for the
study of distributions for real normed division algebras in the context of
multivariate statistics.
