Teoriâ veroâtnostej i ee primeneniâ, Tome 21 (1976) no. 4, pp. 864-871
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E. A. Nadaraya. On a quadratic measure of the deviation of projection density estimates. Teoriâ veroâtnostej i ee primeneniâ, Tome 21 (1976) no. 4, pp. 864-871. http://geodesic.mathdoc.fr/item/TVP_1976_21_4_a17/
@article{TVP_1976_21_4_a17,
author = {E. A. Nadaraya},
title = {On a~quadratic measure of the deviation of projection density estimates},
journal = {Teori\^a vero\^atnostej i ee primeneni\^a},
pages = {864--871},
year = {1976},
volume = {21},
number = {4},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TVP_1976_21_4_a17/}
}
TY - JOUR
AU - E. A. Nadaraya
TI - On a quadratic measure of the deviation of projection density estimates
JO - Teoriâ veroâtnostej i ee primeneniâ
PY - 1976
SP - 864
EP - 871
VL - 21
IS - 4
UR - http://geodesic.mathdoc.fr/item/TVP_1976_21_4_a17/
LA - ru
ID - TVP_1976_21_4_a17
ER -
%0 Journal Article
%A E. A. Nadaraya
%T On a quadratic measure of the deviation of projection density estimates
%J Teoriâ veroâtnostej i ee primeneniâ
%D 1976
%P 864-871
%V 21
%N 4
%U http://geodesic.mathdoc.fr/item/TVP_1976_21_4_a17/
%G ru
%F TVP_1976_21_4_a17
Limiting law problems for the distributions of squared norms of estimation errors (1) are considered. The behaviour of the goodness-of-fit test based on these statistics being studied, the limiting power for some local alternatives is calculated. The goodness-of-fit test based on density estimates is shown to be equivalent to the $\chi^2$-test.
