Optimal designs for estimating the coefficients of the lower frequencies in trigonometric regression models |
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Authors: | Holger Dette Viatcheslav B Melas Piter Shpilev |
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Institution: | 1.Fakult?t für Mathematik,Ruhr-Universit?t Bochum,Bochum,Germany;2.Department of Mathematics,St. Petersburg State University,St. Petersburg,Russia |
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Abstract: | 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 performance of the D-optimal design with respect to the estimation of the lower order coefficients is investigated. The results give a complete
answer to an open question which was recently raised in the literature. |
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Keywords: | Trigonometric regression model c-Optimal design Chebyshev approximation Two dimensional shape analysis |
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