English

Large deviations for conditionally Gaussian processes: estimates of level crossing probability

Probability 2019-02-07 v1

Abstract

The problem of (pathwise) large deviations for conditionally continuous Gaussian processes is investigated. The theory of large deviations for Gaussian processes is extended to the wider class of random processes -- the conditionally Gaussian processes. The estimates of level crossing probability for such processes are given as an application.

Keywords

Cite

@article{arxiv.1902.02327,
  title  = {Large deviations for conditionally Gaussian processes: estimates of level crossing probability},
  author = {Barbara Pacchiarotti and Alessandro Pigliacelli},
  journal= {arXiv preprint arXiv:1902.02327},
  year   = {2019}
}

Comments

Published at https://doi.org/10.15559/18-VMSTA119 in the Modern Stochastics: Theory and Applications (https://vmsta.org/) by VTeX (http://www.vtex.lt/)

R2 v1 2026-06-23T07:33:54.224Z