Teoriâ veroâtnostej i ee primeneniâ, Tome 22 (1977) no. 2, pp. 295-319
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V. F. Gapoškin. Criteria of the strong law of large numbers for some classes of stationary processes and homogeneous random fields. Teoriâ veroâtnostej i ee primeneniâ, Tome 22 (1977) no. 2, pp. 295-319. http://geodesic.mathdoc.fr/item/TVP_1977_22_2_a6/
@article{TVP_1977_22_2_a6,
author = {V. F. Gapo\v{s}kin},
title = {Criteria of the strong law of large numbers for some classes of stationary processes and homogeneous random fields},
journal = {Teori\^a vero\^atnostej i ee primeneni\^a},
pages = {295--319},
year = {1977},
volume = {22},
number = {2},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TVP_1977_22_2_a6/}
}
TY - JOUR
AU - V. F. Gapoškin
TI - Criteria of the strong law of large numbers for some classes of stationary processes and homogeneous random fields
JO - Teoriâ veroâtnostej i ee primeneniâ
PY - 1977
SP - 295
EP - 319
VL - 22
IS - 2
UR - http://geodesic.mathdoc.fr/item/TVP_1977_22_2_a6/
LA - ru
ID - TVP_1977_22_2_a6
ER -
%0 Journal Article
%A V. F. Gapoškin
%T Criteria of the strong law of large numbers for some classes of stationary processes and homogeneous random fields
%J Teoriâ veroâtnostej i ee primeneniâ
%D 1977
%P 295-319
%V 22
%N 2
%U http://geodesic.mathdoc.fr/item/TVP_1977_22_2_a6/
%G ru
%F TVP_1977_22_2_a6
For some classes of stationary (in the wide sense) processes and homogeneous fields, criteria of the strong law of large numbers are obtained in terms of the spectral measure or the correlation function of these processes. Some estimates of the speed of convergence are also proved.