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.
Publié le : 1980-09-14
Classification:
$D_s$-optimal,
polynomial regression,
continued fractions,
62K05,
62J05
@article{1176345150,
author = {Studden, W. J.},
title = {$D\_s$-Optimal Designs for Polynomial Regression Using Continued Fractions},
journal = {Ann. Statist.},
volume = {8},
number = {1},
year = {1980},
pages = { 1132-1141},
language = {en},
url = {http://dml.mathdoc.fr/item/1176345150}
}
Studden, W. J. $D_s$-Optimal Designs for Polynomial Regression Using Continued Fractions. Ann. Statist., Tome 8 (1980) no. 1, pp. 1132-1141. http://gdmltest.u-ga.fr/item/1176345150/