Optimal designs for estimating the coefficients of the lower frequencies in trigonometric regression models

Trigonometric regression model, c-Optimal design, Chebyshev approximation, Two dimensional shape analysis,

Constrained optimal discrimination designs for Fourier regression models

In this article, the problem of constructing efficient discrimination designs in a Fourier regression model is considered. We propose designs which maximize the power of the F-test,which discriminates between the two highest order models, subject to the constraints that the tests that discriminate between lower order models have at least some givenrelative power. A complete solution is presented in terms of the canonical moments of the optimal designs, and for the special case of equal constraints even more specific formulaeare availabl