Tail Properties and Asymptotic Expansions for the Maximum of the Logarithmic Skew-Normal Distribution
Tail Properties and Asymptotic Expansions for the Maximum of the Logarithmic Skew-Normal Distribution
We discuss tail behaviors, subexponentiality, and the extreme value distribution of logarithmic skew-normal random variables. With optimal normalized constants, the asymptotic expansion of the distribution of the normalized maximum of logarithmic skew-normal random variables is derived. We show that the convergence rate of the distribution of the normalized maximum to …