Abstract: It is gotten that the rates of total variation of order statistics with fixed rank depending on regular variation of second order. Especialy, the rates of total variation for distribution of extreme values is gotten too.

Key words: order statistics with fixed rank, rate of total variation convergence, regular variation of second order

摘要： 在V′是二阶正规变化函数的条件下给出固定秩次序统计量分布函数的全变差收敛速度，特别地，也得到了最大值分布的全变差收敛速度。

关键词: 固定秩次序统计量, 全变差收敛速度, 二阶正规变化函数