Sequences Converging to $D$-Optimal Designs of Experiments

Atwood, Corwin L.

Ann. Statist., Tome 1 (1973) no. 2, p. 342-352 / Harvested from Project Euclid

Résumé

Fedorov (Theory of Optimal Experiments (1972)) gives a sequence of designs converging to a $D$-optimal design. Several modifications of that sequence are given to improve the speed of convergence. The analogous sequence for estimating some of the parameters is shown to converge to a $D$-optimal design, whether or not all the parameters are estimable under the limiting design. We prove the result $d(x, \xi)\xi(x) \leqq 1$, and several related results.

Publié le : 1973-03-14
Classification:

@article{1176342371,
     author = {Atwood, Corwin L.},
     title = {Sequences Converging to $D$-Optimal Designs of Experiments},
     journal = {Ann. Statist.},
     volume = {1},
     number = {2},
     year = {1973},
     pages = { 342-352},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1176342371}
}

Atwood, Corwin L. Sequences Converging to $D$-Optimal Designs of Experiments. Ann. Statist., Tome 1 (1973) no. 2, pp.  342-352. http://gdmltest.u-ga.fr/item/1176342371/