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Extreme value theory based confidence intervals for the parameters of a symmetric L\'evy-stable distribution

Statistics Theory 2019-04-11 v1 Statistics Theory

Abstract

We exploit the asymptotic normality of the extreme value theory (EVT) based estimators of the parameters of a symmetric L\'evy-stable distribution, to construct confidence intervals. The accuracy of these intervals is evaluated through a simulation study.

Keywords

Cite

@article{arxiv.1904.04863,
  title  = {Extreme value theory based confidence intervals for the parameters of a symmetric L\'evy-stable distribution},
  author = {Djamel Meraghni and Louiza Soltane},
  journal= {arXiv preprint arXiv:1904.04863},
  year   = {2019}
}