In a recent paper of Gaffke an example was given regarding the $\phi_p$-optimal designs for the highest two coefficients in a one dimensional polynomial regression. The purpose of this paper is to supply a direct proof of this result using the theory of canonical moments and orthogonal polynomials.
@article{1176347129,
author = {Studden, W. J.},
title = {Note on some $\phi\_p$-Optimal Designs for Polynomial Regression},
journal = {Ann. Statist.},
volume = {17},
number = {1},
year = {1989},
pages = { 618-623},
language = {en},
url = {http://dml.mathdoc.fr/item/1176347129}
}
Studden, W. J. Note on some $\phi_p$-Optimal Designs for Polynomial Regression. Ann. Statist., Tome 17 (1989) no. 1, pp. 618-623. http://gdmltest.u-ga.fr/item/1176347129/