Teoriâ veroâtnostej i ee primeneniâ, Tome 19 (1974) no. 1, pp. 140-151
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T. L. Malevich. Some bounds for the probabilities of events generated by Gaussian processes and fields, and applications to crossings of a level. Teoriâ veroâtnostej i ee primeneniâ, Tome 19 (1974) no. 1, pp. 140-151. http://geodesic.mathdoc.fr/item/TVP_1974_19_1_a10/
@article{TVP_1974_19_1_a10,
author = {T. L. Malevich},
title = {Some bounds for the probabilities of events generated by {Gaussian} processes and fields, and applications to crossings of a~level},
journal = {Teori\^a vero\^atnostej i ee primeneni\^a},
pages = {140--151},
year = {1974},
volume = {19},
number = {1},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TVP_1974_19_1_a10/}
}
TY - JOUR
AU - T. L. Malevich
TI - Some bounds for the probabilities of events generated by Gaussian processes and fields, and applications to crossings of a level
JO - Teoriâ veroâtnostej i ee primeneniâ
PY - 1974
SP - 140
EP - 151
VL - 19
IS - 1
UR - http://geodesic.mathdoc.fr/item/TVP_1974_19_1_a10/
LA - ru
ID - TVP_1974_19_1_a10
ER -
%0 Journal Article
%A T. L. Malevich
%T Some bounds for the probabilities of events generated by Gaussian processes and fields, and applications to crossings of a level
%J Teoriâ veroâtnostej i ee primeneniâ
%D 1974
%P 140-151
%V 19
%N 1
%U http://geodesic.mathdoc.fr/item/TVP_1974_19_1_a10/
%G ru
%F TVP_1974_19_1_a10
Lower bounds are obtained for the probabilities of events generated by a Gaussian family $x(t)$, $t\in[0,T]$ or $x(t_1,\dots,t_m)$, $t_1^2+\dots+t_m^2\le T^2$, as $T\to\infty$.
