Extremal properties of the univariate extended skew-normal distribution, Part A

Jan 1, 2019·
Boris Béranger
Boris Béranger
,
Simone A. Padoan
,
Yangfan Xu
,
Scott A. Sisson
· 0 min read
Figure 2
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.
Type
Publication
Statistics and Probability Letters, 147, 73–82