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September, 1980 $D_s$-Optimal Designs for Polynomial Regression Using Continued Fractions
W. J. Studden
Ann. Statist. 8(5): 1132-1141 (September, 1980). DOI: 10.1214/aos/1176345150

Abstract

Consider a polynomial regression of degree $n$ on an interval. Explicit optimal designs are given for minimizing the determinant of the covariance matrix of the least squares estimators of the highest $s$ coefficients. The designs are calculated using continued fractions.

Citation

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W. J. Studden. "$D_s$-Optimal Designs for Polynomial Regression Using Continued Fractions." Ann. Statist. 8 (5) 1132 - 1141, September, 1980. https://doi.org/10.1214/aos/1176345150

Information

Published: September, 1980
First available in Project Euclid: 12 April 2007

zbMATH: 0447.62070
MathSciNet: MR585711
Digital Object Identifier: 10.1214/aos/1176345150

Subjects:
Primary: 62K05
Secondary: 62J05

Keywords: $D_s$-optimal , continued fractions , polynomial regression

Rights: Copyright © 1980 Institute of Mathematical Statistics

Vol.8 • No. 5 • September, 1980
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