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
Voir la notice de l'article provenant de la source Math-Net.Ru
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 $T\to\infty$.
@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},
publisher = {mathdoc},
volume = {19},
number = {1},
year = {1974},
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 PB - mathdoc 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 %I mathdoc %U http://geodesic.mathdoc.fr/item/TVP_1974_19_1_a10/ %G ru %F TVP_1974_19_1_a10
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/