Teoriâ veroâtnostej i ee primeneniâ, Tome 21 (1976) no. 2, pp. 435-441
Citer cet article
E. V. Sedunov. On the choice of estimation technique for regression experimental designs unbiased in $L_2$-metric. Teoriâ veroâtnostej i ee primeneniâ, Tome 21 (1976) no. 2, pp. 435-441. http://geodesic.mathdoc.fr/item/TVP_1976_21_2_a24/
@article{TVP_1976_21_2_a24,
author = {E. V. Sedunov},
title = {On the choice of estimation technique for regression experimental designs unbiased in $L_2$-metric},
journal = {Teori\^a vero\^atnostej i ee primeneni\^a},
pages = {435--441},
year = {1976},
volume = {21},
number = {2},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TVP_1976_21_2_a24/}
}
TY - JOUR
AU - E. V. Sedunov
TI - On the choice of estimation technique for regression experimental designs unbiased in $L_2$-metric
JO - Teoriâ veroâtnostej i ee primeneniâ
PY - 1976
SP - 435
EP - 441
VL - 21
IS - 2
UR - http://geodesic.mathdoc.fr/item/TVP_1976_21_2_a24/
LA - ru
ID - TVP_1976_21_2_a24
ER -
%0 Journal Article
%A E. V. Sedunov
%T On the choice of estimation technique for regression experimental designs unbiased in $L_2$-metric
%J Teoriâ veroâtnostej i ee primeneniâ
%D 1976
%P 435-441
%V 21
%N 2
%U http://geodesic.mathdoc.fr/item/TVP_1976_21_2_a24/
%G ru
%F TVP_1976_21_2_a24
The paper deals with regression experimental designs unbiased in the $L_2$-metric. Consideration is concentrated upon the choice of estimation technique for design procedures. It is shown that the procedure using the reproducing kernel method dominates the least-squares procedure. In particular, results for polynominal and trigonometric regressions are derived. Numerical examples are given.
