Many methods of computational statistics lead to matrix-algebra or numerical- mathematics problems. For example, the least squares method in linear regression reduces to solving a system of linear equations. The principal components method is based on finding eigenvalues and eigenvectors of a...

In this and a sequel paper, we study combinatorial designs whose incidence matrix has two distinct singular values. These generalize 2-(v, k, lambda) designs, and include partial geometric designs and uniform multiplicative designs. Here, we study the latter, which are precisely the nonsingular...

In this and an earlier paper [17], we study combinatorial designs whose incidence matrix has two distinct singular values. These generalize (v, k, lambda) designs, and include uniform multiplicative designs and partial geometric designs. Here, we study the latter, which are precisely the designs...

Analogues of the Marcinkiewicz-Zygmund, Rosenthal and Acosta inequalities for Banach space valued random vectors are proved. As an application some results on the complete convergence and the strong law of large numbers are obtained. Some well-known results are improved and extended.