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Teoriya Veroyatnostei i ee Primeneniya, 1961, Volume 6, Issue 4, Pages 474–478
(Mi tvp4806)
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This article is cited in 49 scientific papers (total in 49 papers)
Short Communications
On the Mean Number of Crossings of a Level by a Stationary Gaussian Process
E. V. Bulinskaya Moscow
Abstract:
Let $\xi(t)$ be a stationary Gaussian process and $N_\xi (u)$ denote the number of solutions of $\xi(t)=u, 0\ne t\ne1$. We prove the well-known formula for $\mathbf M_\xi(u)$ under conditions that are very close to the necessary ones.
Received: 04.02.1960
Citation:
E. V. Bulinskaya, “On the Mean Number of Crossings of a Level by a Stationary Gaussian Process”, Teor. Veroyatnost. i Primenen., 6:4 (1961), 474–478; Theory Probab. Appl., 6:4 (1961), 435–438
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