This article is cited in 3 papers

Short Communications

On conditions of the local nondeterminism of differentiable Gaussian stationary processes

R. N. Mirošin

Leningrad

Abstract: We are concerned with sufficient conditions of the $k$th order local nondeterminism of a Gaussian stationary process $\xi_t$ in terms of the spectrum (Theorem 1). These conditions are used to establish a criterion for the factorial moment $N_m(t)$ of the number of zeros of $\xi_t$ to be finite (Theorem 2).

Received: 26.03.1975
Revised: 20.01.1976

 English version: Theory of Probability and its Applications, 1978, 22:4, 831–836

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