双下标随机变量顺序统计量和的一个强大数定律

A Strong Large Number Law for Doube Array Sums of Order Statistics

本文对双下标随机变量Ｘｎ１，Ｘｎ２．．．，Ｘｎｎ的顺序统计量Ｘ１（ｎ），Ｘ２（ｎ），．．．，Ｘｎｎ，在其分布连续且存在ｐ阶矩（ｐ＞２）的条件下，获得了它们的加权和的强大数定律。

Let Xn1, Xn2,..., Xnn be independent identically distributed random varibles with a commedistrbution F (x), F (x) be continuous, X1(n)≤X2(n)≤...≤Xn(n) be their orderly statistics. In thea. s.proprasent paper, we obtain a strong large number law vided that for some number p>2.