Statistica Sinica

Holger Dette, Viatcheslav B. Melas and Petr Shpilev

Abstract:In the common Fourier regression model we investigate the optimal design problem for estimating pairs of the coefficients, where the explanatory variable varies in the interval . -optimal designs are considered and for many important cases -optimal designs can be found explicitly, where the complexity of the solution depends on the degree of the trigonometric regression model and the order of the terms for which the pair of the coefficients has to be estimated.

Key words and phrases:Equivalence theorem, Fourier regression models, L-optimal designs, parameter subsets.