English

Large deviations asymptotics for large waiting times

Probability 2009-11-02 v1

Abstract

In this paper we investigate the statistics of large waiting times (with respect to the total waiting time) for Bernoulli processes. We determine the corresponding rate functions explicitly and prove a large deviations asymptotic. By this we have estabished a large deviation principle for which the rate function is not the Legendre transform of some free energy function.

Keywords

Cite

@article{arxiv.0910.5906,
  title  = {Large deviations asymptotics for large waiting times},
  author = {Marc Kesseböhmer and Lidong Tang},
  journal= {arXiv preprint arXiv:0910.5906},
  year   = {2009}
}

Comments

11 pages, 3 figures

R2 v1 2026-06-21T14:05:28.127Z