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

Autor:	Schpilev, P., Melas, Viatcheslav B., Dette, Holger
Jazyk:	angličtina
Rok vydání:	2005
Předmět:	ddc:519 c-optimal design trigonometric regression model Schätztheorie Chebyshev approximation two dimensional shape analysis Regression Theorie
Popis:	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 by Dette and Melas (2003).
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=od______1687::19a4d27d225bfc1e1ef981aa23a82009 https://hdl.handle.net/10419/22606 Zobrazit plný text záznamu