Geodesic
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

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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. 
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     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},
     publisher = {mathdoc},
     volume = {14},
     number = {2},
     year = {1969},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TVP_1969_14_2_a19/}
}
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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/