This article is cited 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

 English version: Theory of Probability and its Applications, 1975, 19:3, 570–577

Bibliographic databases:

• 
•