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 ...

In this paper, we first establish a series of closed-form formulas for calculating the extremal ranks and inertias of f (X) subject to X ∈ Ω by applying the generalized inverses of matrices.

Without loss of generality, we assume that the quadratic form is normalized such that matrix H is symmetric, the neutral stimulus (usually an average or blank stimulus) is zero, and the response ...