Large deviations for solutions of stochastic equations
Teoriâ veroâtnostej i ee primeneniâ, Tome 40 (1995) no. 4, pp. 764-785
Cet article a éte moissonné depuis la source Math-Net.Ru
In this paper, we consider solutions of stochastic equations with small diffusion and a small jump function. The equation coefficients are random and depend nonregularly on a small parameter. The principle of large deviations is proved. The paper studies large deviations in the averaging scheme for various assumptions on the character of a disturbing process.
Keywords:
stochastic equations, averaging, large deviations.
@article{TVP_1995_40_4_a4,
author = {S. Ya. Makhno},
title = {Large deviations for solutions of stochastic equations},
journal = {Teori\^a vero\^atnostej i ee primeneni\^a},
pages = {764--785},
year = {1995},
volume = {40},
number = {4},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TVP_1995_40_4_a4/}
}
S. Ya. Makhno. Large deviations for solutions of stochastic equations. Teoriâ veroâtnostej i ee primeneniâ, Tome 40 (1995) no. 4, pp. 764-785. http://geodesic.mathdoc.fr/item/TVP_1995_40_4_a4/