Teoriâ veroâtnostej i ee primeneniâ, Tome 14 (1969) no. 2, pp. 363-369
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R. N. Miroshin. An asymptotic estimate of the probability for a Gaussian stochastic process to remain under the straight line $kt+a$. Teoriâ veroâtnostej i ee primeneniâ, Tome 14 (1969) no. 2, pp. 363-369. http://geodesic.mathdoc.fr/item/TVP_1969_14_2_a19/
@article{TVP_1969_14_2_a19,
author = {R. N. Miroshin},
title = {An asymptotic estimate of the probability for {a~Gaussian} stochastic process to remain under the straight line $kt+a$},
journal = {Teori\^a vero\^atnostej i ee primeneni\^a},
pages = {363--369},
year = {1969},
volume = {14},
number = {2},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TVP_1969_14_2_a19/}
}
TY - JOUR
AU - R. N. Miroshin
TI - An asymptotic estimate of the probability for a Gaussian stochastic process to remain under the straight line $kt+a$
JO - Teoriâ veroâtnostej i ee primeneniâ
PY - 1969
SP - 363
EP - 369
VL - 14
IS - 2
UR - http://geodesic.mathdoc.fr/item/TVP_1969_14_2_a19/
LA - ru
ID - TVP_1969_14_2_a19
ER -
%0 Journal Article
%A R. N. Miroshin
%T An asymptotic estimate of the probability for a Gaussian stochastic process to remain under the straight line $kt+a$
%J Teoriâ veroâtnostej i ee primeneniâ
%D 1969
%P 363-369
%V 14
%N 2
%U http://geodesic.mathdoc.fr/item/TVP_1969_14_2_a19/
%G ru
%F TVP_1969_14_2_a19
A stationary Gaussian stochastic process with the correlation function of the form (1) or (6) for $\tau\sim+0$ is considered, asymptotic inequalities (theorems 1–6) for the function (2) with $\alpha\sim+0$, $a\ge0$ or $\gamma_0\to+\infty$, $\alpha=\mathrm{const}$ (cf. (3)) being obtained.
