Abstract: Under the condition of second order generalized regular variation,the asymptotic expansions for the distribution of the sums of extreme values are obtained.

Key words: sum of extreme values, regular variation, asymptotic expansion

摘要： 在二阶广义正规变换条件下，分别给出了当γ<1/3, γ=1/3及1/3<γ<1/2时的极值和的分布函数渐近正态展开式。

关键词: 极值和, 二阶广义正规变化, 渐近展开