Teoriâ veroâtnostej i ee primeneniâ, Tome 19 (1974) no. 3, pp. 596-603
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R. N. Miroshin. A necessary condition for moments of the number of zeros of a differentiable Guassian stationary process to le inite. Teoriâ veroâtnostej i ee primeneniâ, Tome 19 (1974) no. 3, pp. 596-603. http://geodesic.mathdoc.fr/item/TVP_1974_19_3_a11/
@article{TVP_1974_19_3_a11,
author = {R. N. Miroshin},
title = {A necessary condition for moments of the number of zeros of a differentiable {Guassian} stationary process to le inite},
journal = {Teori\^a vero\^atnostej i ee primeneni\^a},
pages = {596--603},
year = {1974},
volume = {19},
number = {3},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TVP_1974_19_3_a11/}
}
TY - JOUR
AU - R. N. Miroshin
TI - A necessary condition for moments of the number of zeros of a differentiable Guassian stationary process to le inite
JO - Teoriâ veroâtnostej i ee primeneniâ
PY - 1974
SP - 596
EP - 603
VL - 19
IS - 3
UR - http://geodesic.mathdoc.fr/item/TVP_1974_19_3_a11/
LA - ru
ID - TVP_1974_19_3_a11
ER -
%0 Journal Article
%A R. N. Miroshin
%T A necessary condition for moments of the number of zeros of a differentiable Guassian stationary process to le inite
%J Teoriâ veroâtnostej i ee primeneniâ
%D 1974
%P 596-603
%V 19
%N 3
%U http://geodesic.mathdoc.fr/item/TVP_1974_19_3_a11/
%G ru
%F TVP_1974_19_3_a11
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.
