D-Optimal Designs for Dynamic Models. Part I. Theory.

Abstract : Except for the proof of the convergence of the iterative method for the construction of (C sub 3)-constrained D-optimal designs this report gives a complete answer to the first step of what could be a theory of optimal designs for dynamic models: under realistic assumptions it is shown that a design (f sub x) is equivalent to a real function of one variable delta sub(f sub x), which is in turn very helpful not only in characterizing optimal designs, but also in constructing them.