For a broad class of nonlinear regression models we investigate the locally E- and c-optimal design problem. It is demonstrated that in many cases the optimal designs with respect to these optimality criteria are supported at the Chebyshev points, which are the local extrema of the...

In the Michaelis-Menten model we determine efficient designs by maximizing a minimum of standardized E-efficiencies. It is shown that in many cases the optimal designs are supported at only two points and the support points and corresponding weights can be characterized explicitly. Moreover, a...

In the common Fourier regression model we determine the optimal designs for estimating the coefficients corresponding to the lower frequencies. An analytical solution is provided which is found by an alternative characterization of c-optimal designs. Several examples are provided and the...