Teoriâ veroâtnostej i ee primeneniâ, Tome 18 (1973) no. 3, pp. 633-639
Citer cet article
V. V. Yurinskii. On sample continuity of random fields. Teoriâ veroâtnostej i ee primeneniâ, Tome 18 (1973) no. 3, pp. 633-639. http://geodesic.mathdoc.fr/item/TVP_1973_18_3_a21/
@article{TVP_1973_18_3_a21,
author = {V. V. Yurinskii},
title = {On sample continuity of random fields},
journal = {Teori\^a vero\^atnostej i ee primeneni\^a},
pages = {633--639},
year = {1973},
volume = {18},
number = {3},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TVP_1973_18_3_a21/}
}
TY - JOUR
AU - V. V. Yurinskii
TI - On sample continuity of random fields
JO - Teoriâ veroâtnostej i ee primeneniâ
PY - 1973
SP - 633
EP - 639
VL - 18
IS - 3
UR - http://geodesic.mathdoc.fr/item/TVP_1973_18_3_a21/
LA - ru
ID - TVP_1973_18_3_a21
ER -
%0 Journal Article
%A V. V. Yurinskii
%T On sample continuity of random fields
%J Teoriâ veroâtnostej i ee primeneniâ
%D 1973
%P 633-639
%V 18
%N 3
%U http://geodesic.mathdoc.fr/item/TVP_1973_18_3_a21/
%G ru
%F TVP_1973_18_3_a21
Theorems 1 gives sufficient conditions for sample continuity of stochastic processes with multidimensional time parameter. Its proof uses a corollary of Sobolev's imbeding theorems, Theorem 2, and a technique of diodic expansions fairly common in proofs of sample continuity.