Teoriâ veroâtnostej i ee primeneniâ, Tome 12 (1967) no. 4, pp. 635-654
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A. A. Borovkov. Boundary problems for random walks and large deviations in functional spaces. Teoriâ veroâtnostej i ee primeneniâ, Tome 12 (1967) no. 4, pp. 635-654. http://geodesic.mathdoc.fr/item/TVP_1967_12_4_a3/
@article{TVP_1967_12_4_a3,
author = {A. A. Borovkov},
title = {Boundary problems for random walks and large deviations in functional spaces},
journal = {Teori\^a vero\^atnostej i ee primeneni\^a},
pages = {635--654},
year = {1967},
volume = {12},
number = {4},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TVP_1967_12_4_a3/}
}
TY - JOUR
AU - A. A. Borovkov
TI - Boundary problems for random walks and large deviations in functional spaces
JO - Teoriâ veroâtnostej i ee primeneniâ
PY - 1967
SP - 635
EP - 654
VL - 12
IS - 4
UR - http://geodesic.mathdoc.fr/item/TVP_1967_12_4_a3/
LA - ru
ID - TVP_1967_12_4_a3
ER -
%0 Journal Article
%A A. A. Borovkov
%T Boundary problems for random walks and large deviations in functional spaces
%J Teoriâ veroâtnostej i ee primeneniâ
%D 1967
%P 635-654
%V 12
%N 4
%U http://geodesic.mathdoc.fr/item/TVP_1967_12_4_a3/
%G ru
%F TVP_1967_12_4_a3
Asymptotic properties (in the region of large deviations) of the logarithmic probability that the sample paths of a random walk generated by sums of independent addends or by a Poisson process belong to a given open set in $C(0,1)$ or $D(0,1)$ are under consideration.