中文摘要：

得到一类Gumbel分布最大吸引场的随机容量样本的次序统计量的精致渐近性，揭示了收敛速度、权函数、边界函数及极限状态之间的联系．这类吸引场真包含了全体彩L（γ），γ〉0分布族．

英文摘要：

In this paper, precise asymptotics for the order statistic generated by random samples of maximum domain of attraction of Gumble distribution is obtained and the relations among the convergence rates, weight functions, boundary functions and limiting cases are discovered. This kind of domain of attraction includes the whole family of distributions of L（γ） ,γ〉0.