Teoriâ veroâtnostej i ee primeneniâ, Tome 17 (1972) no. 3, pp. 578-582
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V. Z. Brodskii; T. I. Golikova. Construction of $D$-optimal weighing designs with the minimal number of observations. Teoriâ veroâtnostej i ee primeneniâ, Tome 17 (1972) no. 3, pp. 578-582. http://geodesic.mathdoc.fr/item/TVP_1972_17_3_a17/
@article{TVP_1972_17_3_a17,
author = {V. Z. Brodskii and T. I. Golikova},
title = {Construction of $D$-optimal weighing designs with the minimal number of observations},
journal = {Teori\^a vero\^atnostej i ee primeneni\^a},
pages = {578--582},
year = {1972},
volume = {17},
number = {3},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TVP_1972_17_3_a17/}
}
TY - JOUR
AU - V. Z. Brodskii
AU - T. I. Golikova
TI - Construction of $D$-optimal weighing designs with the minimal number of observations
JO - Teoriâ veroâtnostej i ee primeneniâ
PY - 1972
SP - 578
EP - 582
VL - 17
IS - 3
UR - http://geodesic.mathdoc.fr/item/TVP_1972_17_3_a17/
LA - ru
ID - TVP_1972_17_3_a17
ER -
%0 Journal Article
%A V. Z. Brodskii
%A T. I. Golikova
%T Construction of $D$-optimal weighing designs with the minimal number of observations
%J Teoriâ veroâtnostej i ee primeneniâ
%D 1972
%P 578-582
%V 17
%N 3
%U http://geodesic.mathdoc.fr/item/TVP_1972_17_3_a17/
%G ru
%F TVP_1972_17_3_a17
The problem of constructing $D$-optimal designs on a $(0,1)$-hypercube for a special case of linear regression is considered. These designs are found to be weighing ones (for the spring balance problem). $D$-optimal designs with minimal number of observations are obtained.
