English

Error Rates for Large Deviations in the domain of an $\alpha=1$ stable law

Probability 2025-06-17 v1

Abstract

We obtain error rates for large deviations of sums of i.i.d. random variables in, a particular case, of the domain of a non-symmetric infinite mean α=1\alpha=1-stable law. The focus of this work is on the method of proof via analytic techniques rather than the particular result.

Keywords

Cite

@article{arxiv.2506.12443,
  title  = {Error Rates for Large Deviations in the domain of an $\alpha=1$ stable law},
  author = {Jonny Imbierski and Dalia Terhesiu},
  journal= {arXiv preprint arXiv:2506.12443},
  year   = {2025}
}