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Teoriya Veroyatnostei i ee Primeneniya, 1974, Volume 19, Issue 3, Pages 596–603
(Mi tvp2938)
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This article is cited in 3 scientific papers (total in 3 papers)
Short Communications
A necessary condition for moments of the number of zeros of a differentiable Guassian stationary process to le inite
R. N. Miroshin Leningrad State University named after A. A. Zhdanov
Abstract:
A necessary condition is given (theorem 1) for moments $N_m$ of the number of zeros of a differentiable Gaussian stationary process to be finite. Theorem 2 answers to the question whether moment $N_m<\infty$ or $=\infty$ by comparison of the correlation function ot $\xi_t$ with that of another process for which this problem has been already solved.
Received: 30.05.1973
Citation:
R. N. Miroshin, “A necessary condition for moments of the number of zeros of a differentiable Guassian stationary process to le inite”, Teor. Veroyatnost. i Primenen., 19:3 (1974), 596–603; Theory Probab. Appl., 19:3 (1975), 570–577
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