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.当总体服从两参数BurrⅢ分布时,得到了统计量（X（i）,X（j））和极端顺序统计量X（1）和X（n）的概率密度函数、期望和方差,给出了顺序统计量X（k）（1≤k≤n）的高阶原点矩的精确表达式.此外还研究了极端顺序统计量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 probability density function,expectation and variance of extreme order statistics,（ X（ i）,X（ j）） and X（ 1）,X（ n）were derived when the population followed two-parameter Burr Ⅲ distribution. The explicit formulas for the higher origin moment about X（ k）（ 1 ≤ k ≤ n） were also obtained. Besides,the asymptotic distributions of the extreme order statistics and were discussed.