次序统计量中一个二维向量的渐近正态性

NORMALITY OF A TWO DIMENSIONAL VECTOR IN ORDER STATISTICS

“次序统计量”在非参数统计推断中作为自变量时，总体分布函数的渐近正态性将给非参数统计推断工作提供更为方便的条件．指出了“次序统计量”中的一个二维向量（Ｆ（ｘ（ｎｐ１ｎ）），Ｆ（ｘ（ｎｐ２ｎ）））的渐近正态性，并用初等分析的方法给出了证明．

Order statistics play an important part is non parameter statistical inference.When an order statistical vector is used as an independent variable,the gradually approaching normality of a normally distributed function will provide an easy way in non parameter statistical inference.The gradually approaching normality of a two dimensional vector,(F(x (np 1n ) ), F(x (np 2n ) )) in order statistics is pointed out and the characteristic proved by an elementary analysis method.