D-Optimal designs for weighted polynomial regression—A functional approach

Abstract

This paper is concerned with the problem of computing approximateD-optimal design for polynomial regression with analytic weight function on a interval [m 0-a,m 0+a]. It is shown that the structure of the optimal design depends ona and weight function. Moreover, the optimal support points and weights are analytic functions ofa ata=0. We make use of a Taylor expansion to provide a recursive procedure for calculating theD-optimal designs.