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Extremal properties of the univariate extended skew-normal distribution

Methodology 2018-10-01 v2

Abstract

We consider the extremal properties of the highly flexible univariate extended skew-normal distribution. We derive the well-known Mills' inequalities and Mills' ratio for the extended skew-normal distribution and establish the asymptotic extreme-value distribution for the maximum of samples drawn from this distribution.

Keywords

Cite

@article{arxiv.1805.03316,
  title  = {Extremal properties of the univariate extended skew-normal distribution},
  author = {Boris Beranger and Simone A. Padoan and Yangfan Xu and Scott A. Sisson},
  journal= {arXiv preprint arXiv:1805.03316},
  year   = {2018}
}