相协样本下Wilcoxon两样本统计量的渐近分布  

Asymptotic distribution of Wilcoxon two-sample statistic under an associated sample

作　　者：黎玲 赵亚玲[2] 沈小欣[2] 秦永松 LI Ling1, ZHAO Ya-ling2, SHEN Xiao-xin2, QIN Yong-song3(1. Department of Mechanical and Electrical Engineering, Wuzhou Vocational College, Wuzhou 543002, China; 2. College of Mathematics, Physics and Information Engineering, Zhejiang Normal University, Jinhua 321004, China; 3. College of Mathematics and Statistics, Guangxi Normal University, Guilin 541004, Chin)

机构地区：[1]梧州职业学院机电工程系,广西梧州543002 [2]浙江师范大学数理与信息工程学院,浙江金华321004 [3]广西师范大学数学与统计学院,广西桂林541004

出　　处：《高校应用数学学报（A辑）》2018年第2期202-210,共9页Applied Mathematics A Journal of Chinese Universities(Ser.A)

基　　金：国家自然科学基金(11671102);广西自然科学基金(2016GXNSFAA3800163)

摘　　要：研究了相协样本下Wilcoxon两样本统计量的渐近分布的问题.利用Hoeffding分解方法,获得了相协样本下Wilcoxon两样本统计量的渐近分布为正态分布的结果,推广了负相协样本下Wilcoxon两样本统计量的渐近分布的结果.The topic of the asymptotic distribution of the Wilcoxon two-sample statistic under an associated sample is investigated in this paper. Using Hoe？ding decomposition, it is shown that the asymptotic distribution of the Wilcoxon two-sample statistic under an associated sample is the normal distribution, which generalizes the existing asymptotic result of the Wilcoxon two-sample statistic under a negatively associated sample.

关 键 词：相协样本 Wilcoxon两样本统计量 渐近分布 

分 类 号：O212.1[理学—概率论与数理统计]