R-optimal designs for trigonometric regression models

Lei He and Rong-Xian Yue ()
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Lei He: Shanghai Normal University
Rong-Xian Yue: Shanghai Normal University

Statistical Papers, 2020, vol. 61, issue 5, No 10, 1997-2013

Abstract: Abstract 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.

Keywords: R-optimal designs; Equivalence theorem; Complete class; Trigonometric regression models; 62K05 (search for similar items in EconPapers)
Date: 2020
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DOI: 10.1007/s00362-018-1017-x

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