经验分布函数在各种散布序下的充分必要条件

The Necessary and Sufficient Conditions of the Empirical Distribution Functions Under Some Dispersiv

摘要: 设Ｆｎ（ｘ），Ｇｎ（ｘ）是样本总体Ｘ、Ｙ的经验分布函数我们通过［１］、［３］、［４］中所定义的散布序≤ｄｉｓｐ、≤ｄ、≤ｄ来比较两个经验分布函数间的散布程度，从而得到了Ｆｎ（ｘ），Ｇｎ（ｘ）在各种散布序下的充要条件

Abstract: Let F n(x),G n(x) be empirical distribution functions with respective sample spaces X and Y. In this paper,the dispersive degree between F n and G n is compared by the dispersive ordering ≤disp、≤d and ≤d * ,Respectively,the necessary and sufficient conditions of the F n、G n under some dispersive orderings are obtained.