Sharp Large Deviations for the Ornstein–Uhlenbeck Process
Teoriâ veroâtnostej i ee primeneniâ, Tome 46 (2001) no. 1, pp. 74-93
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We establish sharp large deviation principles for well-known random variables associated with the Ornstein–Uhlenbeck process, such as the energy, the maximum likelihood estimator of the drift parameter, and the log-likelihood ratio.
Keywords:
large deviations, Ornstein–Uhlenbeck process, likelihood estimation.
@article{TVP_2001_46_1_a3,
author = {B. Bercu and A. Rouault},
title = {Sharp {Large} {Deviations} for the {Ornstein{\textendash}Uhlenbeck} {Process}},
journal = {Teori\^a vero\^atnostej i ee primeneni\^a},
pages = {74--93},
year = {2001},
volume = {46},
number = {1},
language = {en},
url = {http://geodesic.mathdoc.fr/item/TVP_2001_46_1_a3/}
}
B. Bercu; A. Rouault. Sharp Large Deviations for the Ornstein–Uhlenbeck Process. Teoriâ veroâtnostej i ee primeneniâ, Tome 46 (2001) no. 1, pp. 74-93. http://geodesic.mathdoc.fr/item/TVP_2001_46_1_a3/