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

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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/}
}
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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/