Teoriâ veroâtnostej i ee primeneniâ, Tome 3 (1958) no. 3, pp. 351-354
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Yu. K. Belyaev. n the Unboundedness of the Sample Functions of Gaussian Processes. Teoriâ veroâtnostej i ee primeneniâ, Tome 3 (1958) no. 3, pp. 351-354. http://geodesic.mathdoc.fr/item/TVP_1958_3_3_a5/
@article{TVP_1958_3_3_a5,
author = {Yu. K. Belyaev},
title = {n the {Unboundedness} of the {Sample} {Functions} of {Gaussian} {Processes}},
journal = {Teori\^a vero\^atnostej i ee primeneni\^a},
pages = {351--354},
year = {1958},
volume = {3},
number = {3},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TVP_1958_3_3_a5/}
}
TY - JOUR
AU - Yu. K. Belyaev
TI - n the Unboundedness of the Sample Functions of Gaussian Processes
JO - Teoriâ veroâtnostej i ee primeneniâ
PY - 1958
SP - 351
EP - 354
VL - 3
IS - 3
UR - http://geodesic.mathdoc.fr/item/TVP_1958_3_3_a5/
LA - ru
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%0 Journal Article
%A Yu. K. Belyaev
%T n the Unboundedness of the Sample Functions of Gaussian Processes
%J Teoriâ veroâtnostej i ee primeneniâ
%D 1958
%P 351-354
%V 3
%N 3
%U http://geodesic.mathdoc.fr/item/TVP_1958_3_3_a5/
%G ru
%F TVP_1958_3_3_a5
The following theorem is proved: if $x(t)$ is a stationary separable gaussian random process whose spectral function has a non-null continuous component, then almost all sample functions of this process are unbounded.
