Teoriâ veroâtnostej i ee primeneniâ, Tome 16 (1971) no. 2, pp. 386-389
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V. V. Yurinskiǐ. On inequalities for large deviations of certain statistics. Teoriâ veroâtnostej i ee primeneniâ, Tome 16 (1971) no. 2, pp. 386-389. http://geodesic.mathdoc.fr/item/TVP_1971_16_2_a18/
@article{TVP_1971_16_2_a18,
author = {V. V. Yurinskiǐ},
title = {On inequalities for large deviations of certain statistics},
journal = {Teori\^a vero\^atnostej i ee primeneni\^a},
pages = {386--389},
year = {1971},
volume = {16},
number = {2},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TVP_1971_16_2_a18/}
}
TY - JOUR
AU - V. V. Yurinskiǐ
TI - On inequalities for large deviations of certain statistics
JO - Teoriâ veroâtnostej i ee primeneniâ
PY - 1971
SP - 386
EP - 389
VL - 16
IS - 2
UR - http://geodesic.mathdoc.fr/item/TVP_1971_16_2_a18/
LA - ru
ID - TVP_1971_16_2_a18
ER -
%0 Journal Article
%A V. V. Yurinskiǐ
%T On inequalities for large deviations of certain statistics
%J Teoriâ veroâtnostej i ee primeneniâ
%D 1971
%P 386-389
%V 16
%N 2
%U http://geodesic.mathdoc.fr/item/TVP_1971_16_2_a18/
%G ru
%F TVP_1971_16_2_a18
This paper deals with multidimensional variants of the Kolmogorov–Smirnov and $\omega^2$-tests. In section 1, exponentially decreasing bounds are given for the first kind error probability. In section 2, rough estimates are derived for the power of the tests under consideration.
