Optimal Designs for Trigonometric Regression

Abstract

Trigonometric regression is widely used in medical sciences, biological, and engineering. It is very important for obtaining optimal designs of lower-order trigonometric polynomials on an arc in practice. However, a few attention has been paid to this field. In this article, we develop the optimal designs for trigonometric model with cosines terms or since terms only on partial symmetry cycle using canonical moments.

Keywords:

• D-optimality
• D _s -optimality
• Optimal designs
• Trigonometric regression

Mathematics Subject Classification:

• Primary 62K05
• Secondary 62J05

Acknowledgements

The author would like to express his thanks to the Dr. K.H. Li and Dr. T.S. Lau for their valuable suggestions. The author also thanks the referees and the Associate Editor for their constructive comments.