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Large Deviations for Past-Dependent Recursions

Probability 2007-05-23 v1

Abstract

The Large Deviation Principle is established for stochastic models defined by past-dependent non linear recursions with small noise. In the Markov case we use the result to obtain an explicit expression for the asymptotics of exit time.

Keywords

Cite

@article{arxiv.math/0603407,
  title  = {Large Deviations for Past-Dependent Recursions},
  author = {F. Klebaner and R. Liptser},
  journal= {arXiv preprint arXiv:math/0603407},
  year   = {2007}
}

Comments

Revised version