Higher-order expansions of powered extremes of logarithmic general error distribution

In this paper,Let Mndenote the maximum of logarithmic general error distribution with parameter v≥1.Higher-order expansions for distributions of powered extremes Mnpare derived under an optimal choice of normalizing constants.It is shown that Mnp,when v=1,converges to the ■ extreme value distribution at the rate of 1/n,and if v>1 then Mnpconverges to the Gumbel extreme value distribution at the rate of ■