THE recent proposal 1 to analyse shapes of biological objects by means of orthonormal functions opens up some interesting possibilities. In the work cited, a particular set of two-dimensional ...
Abstract In this paper we consider functions in the Hardy space H2p×q defined in the unit disc of matrix-valued functions. We show that it is possible, as in the scalar case, to decompose those ...
The smooth tests of Neyman (1937) are modified to permit composite alternatives and a choice of orthonormal functions in their construction. These orthonormal functions may be chosen to improve ...