The problem of optimal design for linear regression extrapolation is discussed. A restriction is introduced which will ensure that the number of optimal design points is equal to the number of independent regressors.
@article{1176345532,
author = {Hoel, Paul G.},
title = {Regression Systems for Which Optimal Extrapolation Designs Require Exactly $k + 1$ Points},
journal = {Ann. Statist.},
volume = {9},
number = {1},
year = {1981},
pages = { 909-912},
language = {en},
url = {http://dml.mathdoc.fr/item/1176345532}
}
Hoel, Paul G. Regression Systems for Which Optimal Extrapolation Designs Require Exactly $k + 1$ Points. Ann. Statist., Tome 9 (1981) no. 1, pp. 909-912. http://gdmltest.u-ga.fr/item/1176345532/