Reprints available directly from the publisher Printed in the United Kingdom Photocopying permitted by license only ON MOMENTS OF QUADRATIC FORMS IN NON-SPHERICALLY DISTRIBUTED VARIABLES

denotes a Kronecker product. From this, second and third moments of quadratic forms are obtained. The moments are derived under the following assumption on the product moments of the elements X, of x: For any non-negative integers a,,..., ah with C a, 1 6, E[XE1X2... X z] is i) finite; ii) zero, if any a; is odd; and iii) invariant under permutations of the indices. AMS 1985 subject classification: 62 H99 Key words: Random matrices, quadratic forms