It is also shown that exact multivariate test statistics can be formed for certain covariance structures of the observations when the assumption of equal covariance matrices for each normal population ...

The cumulants of a quadratic form in n independent standardized variables are identified with the traces of the powers of the matrix of the form. This identification leads to some very simple proofs ...

About this article Cite this article M., G. Quadratic Forms and their Classification by Means of Invariant Factors The Axioms of Projective Geometry The Axioms of Descriptive Geometry .