Moderate deviation probabilities for open convex sets: nonlogarithmic behavior

Details Moderate deviation probabilities for open convex sets: nonlogarithmic behavior Moderate deviation probabilities for open convex sets: nonlogarithmic behavior

2004-10-06

arxiv.org/abs/math/0410139v1

Annals of Probability 2004, Vol. 32, No. 2, 1316-1355

Mathematics

Probability

Published by the Institute of Mathematical Statistics (http://www.imstat.org) in the Annals of Probability (http://www.imsta

Scientific paper

10.1214/009117904000000216

Precise asymptotics for moderate deviation probabilities are established for
open convex sets in both the finite- and infinite-dimensional settings.
Our results are based on the existence of dominating points for these sets, a
related representation formula, and asymptotics for the integral term in this
formula.

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