English

Deviations bounds and conditional principles for thin sets

Probability 2007-05-23 v1

Abstract

The aim of this paper is to use non asymptotic bounds for the probability of rare events in the Sanov theorem, in order to study the asymptotics in conditional limit theorems (Gibbs conditioning principle for thin sets). Applications to stochastic mechanics or calibration problems for diffusion processes are discussed.

Keywords

Cite

@article{arxiv.math/0510257,
  title  = {Deviations bounds and conditional principles for thin sets},
  author = {Patrick Cattiaux and Nathael Gozlan},
  journal= {arXiv preprint arXiv:math/0510257},
  year   = {2007}
}