On conditions of the local nondeterminism of differentiable Gaussian stationary processes
Teoriâ veroâtnostej i ee primeneniâ, Tome 22 (1977) no. 4, pp. 851-856
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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).
@article{TVP_1977_22_4_a16,
author = {R. N. Miro\v{s}in},
title = {On conditions of the local nondeterminism of differentiable {Gaussian} stationary processes},
journal = {Teori\^a vero\^atnostej i ee primeneni\^a},
pages = {851--856},
year = {1977},
volume = {22},
number = {4},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TVP_1977_22_4_a16/}
}
R. N. Mirošin. On conditions of the local nondeterminism of differentiable Gaussian stationary processes. Teoriâ veroâtnostej i ee primeneniâ, Tome 22 (1977) no. 4, pp. 851-856. http://geodesic.mathdoc.fr/item/TVP_1977_22_4_a16/