This paper gave the joint probability density function of order statistics under Power distribution,and the density functions of extreme order statistics were obtained,Therefore the representation formulas of mathematical expectation and variance of extreme order statistics were obtained.And it was proved thatX（1）,X（2）-X（1）,…,X（n）-X（n-1）are not independent and not identical distributions.%本文给出了幂分布顺序统计量的联合密度函数,以及极值顺序统计量的密度函数,从而进一步得到极值的数学期望与方差的表达式.此外还证明了X（1）,X（2）-X（1）,…,X（n）-X（n-1）不独立,且不同分布.
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