节点文献
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
【摘要】 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.
【Abstract】 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.
【关键词】 Shapiro-Wilk统计量;
QH统计量;
正态性检验;
【Key words】 Shapiro-Wilk statistic; QH statistic; test for normality.;
【Key words】 Shapiro-Wilk statistic; QH statistic; test for normality.;
【基金】 国家自然科学基金;教育部博士点基金;中国科学院特支经费资助
- 【文献出处】 系统科学与数学 ,JOURNAL OF SYSTEMS SCIENCE AND MATHEMATICAL SCIENCES , 编辑部邮箱 ,1999年03期
- 【分类号】O212
- 【下载频次】45