双边截断情形下QH统计量的渐近分布

THE ASYMPTOTIC DISTRIBUTION OF THE QH STATISTIC UNDER DOUBLE SIDE CENSORING

ＣｈｅｎＬａｎｄＳｈａｐｉｒｏＳＳ［１］提出如下检验正态性的统计量其中，Ｘ１ｎ，Ｘ２ｎ，…，Ｘｎｎ为容量为n的样本的次序统计量，Ｈ为标准正态分布函数的逆函数．本文在一定的条件下得到了双边截断情形下ＱＨ统计量的渐近分布．

To test for normality, Chen and Shapiro[1] proposed the following statisticQH where X1n, X2n,''' , Xnn are order statistics from a random sample of size n, Hi = H, S =((n - 1)-1 , and H is the inverse of the standard normal distributionfunction. Under some conditions, we obtain here the asymptotic distribution of QH statisticunder double side censoring.