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Optimal Designs for Trigonometric and Polynomial Regression Using Canonical Moments

Tai-Shing Lau, W. J. Studden

The Annals of Statistics · 1985 · Volume 13 · Issue 1

DOI: 10.1214/aos/1176346599

Abstract

Consider a trigonometric regression of order $m$ or a polynomial regression of degree $m$. Explicit $D_s$-optimal designs are given for some subsets of the coefficients. Lauter type optimal designs are given for various models involving the order or the degree. The designs are calculated using canonical moments.

Keywords

62J05, 62K05, canonical moments, Optimal designs, trig regression

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