An approximation of the Ito and Stratonovich stochastic integrals by elements of a direct product of algebras of generalized random processes
Teoriâ veroâtnostej i ee primeneniâ, Tome 41 (1996) no. 4, pp. 785-809
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The paper investigates a problem of approximation of multidimensional Ito and Stratonovich stochastic integrals by finite sums of elements of a direct product of algebras of generalized random processes.
Keywords:
standard process of Brownian motion, Ito stochastic integral, Stratonovich stochastic integral, generalized random processes, direct product of algebras of generalized random processes, generalized Ito differential, generalized Stratonovich differential.
@article{TVP_1996_41_4_a4,
author = {N. V. Lazakovich and S. P. Stashulenok},
title = {An approximation of the {Ito} and {Stratonovich} stochastic integrals by elements of a~direct product of algebras of generalized random processes},
journal = {Teori\^a vero\^atnostej i ee primeneni\^a},
pages = {785--809},
year = {1996},
volume = {41},
number = {4},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TVP_1996_41_4_a4/}
}
TY - JOUR AU - N. V. Lazakovich AU - S. P. Stashulenok TI - An approximation of the Ito and Stratonovich stochastic integrals by elements of a direct product of algebras of generalized random processes JO - Teoriâ veroâtnostej i ee primeneniâ PY - 1996 SP - 785 EP - 809 VL - 41 IS - 4 UR - http://geodesic.mathdoc.fr/item/TVP_1996_41_4_a4/ LA - ru ID - TVP_1996_41_4_a4 ER -
%0 Journal Article %A N. V. Lazakovich %A S. P. Stashulenok %T An approximation of the Ito and Stratonovich stochastic integrals by elements of a direct product of algebras of generalized random processes %J Teoriâ veroâtnostej i ee primeneniâ %D 1996 %P 785-809 %V 41 %N 4 %U http://geodesic.mathdoc.fr/item/TVP_1996_41_4_a4/ %G ru %F TVP_1996_41_4_a4
N. V. Lazakovich; S. P. Stashulenok. An approximation of the Ito and Stratonovich stochastic integrals by elements of a direct product of algebras of generalized random processes. Teoriâ veroâtnostej i ee primeneniâ, Tome 41 (1996) no. 4, pp. 785-809. http://geodesic.mathdoc.fr/item/TVP_1996_41_4_a4/