中文摘要：

设{Xk,1≤ k ≤n}独立同分布,X（1）,X（2）,······ X（n）为其顺序统计量,当总体服从Kum（λ,φ）分布时,得到了其顺序统计量的联合概率密度、极端值顺序统计量的概率密度和k阶矩的表达式.此外还研究了极端值顺序统计量X（1）和X（n）的渐近分布。

英文摘要：

Let {Xk,1≤ k ≤n}be independent and identically distributed random variables,X（1）,X（2）,······ X（n） be their order statistics. The joint probability density function of its order statistics and the density functions of extreme order statistics were obtained, whenX（ k） followed Kumaraswamy distribution with parameters（λ,φ）. The explicit formulas for the moment of order k aboutX（1） andX（ n） were also obtained. What＇s more, the asymptotic distributions of the extreme order statisticsX（1） andX（ n） were discussed.