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
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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.
@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
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/