R-optimal designs for trigonometric regression models

This paper is concerned with the problem of constructing R -optimal designs for trigonometric regression models with different orders. More precisely, explicit R -optimal designs for the first-order trigonometric regression model on a partial cycle are derived by using the idea of complete class app...

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Veröffentlicht in:Statistical papers (Berlin, Germany) Germany), 2020-10, Vol.61 (5), p.1997-2013
Hauptverfasser: He, Lei, Yue, Rong-Xian
Format: Artikel
Sprache:eng
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Zusammenfassung:This paper is concerned with the problem of constructing R -optimal designs for trigonometric regression models with different orders. More precisely, explicit R -optimal designs for the first-order trigonometric regression model on a partial cycle are derived by using the idea of complete class approach. The relative R -efficiency of the equidistant sampling method is then discussed. Moreover, when the explanatory variable varies in a complete cycle, the R -optimal designs for estimating the specific pairs of the coefficients in the trigonometric regression of larger order are obtained by invoking the equivalence theorem. Several examples are presented for illustration.
ISSN:0932-5026
1613-9798
DOI:10.1007/s00362-018-1017-x