JSTOR Daily

On a New Class of Bounds for the Distribution of Quadratic Forms in Normal Variates

Except in special cases, the distribution of a quadratic form Q in the normal random vector y cannot be expressed in closed form. However, bounds on the cumulative distribution of Q have been obtained ...
JSTOR Daily

Moment Generating Functions of Quadratic Forms in Serially Correlated Normal Variables

This is a preview. Log in through your library . Abstract A method used by Kac in the study of Wiener functionals is adapted to the problem of calculating in closed form the joint moment generating ...
Nature

Quadratic Forms and their Classification by Means of Invariant Factors The Axioms of Projective Geometry The Axioms of Descriptive Geometry

THESE are Nos. 3, 4, and 5 of the Cambridge Tracts in Mathematics and Mathematical Physics, which are intended to help students by providing them with brief and readable introductions to mathematical ...
Nature

Identity for the Product of Two Positive Definite Quadratic Forms

THE problem of generalizing the following basic identity given in Hardy, Littlewood and Pólya 1, remains to be considered. We shall show that the generalized Cauchy inequality follows immediately from ...