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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
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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.
作者 黎玲 赵亚玲 沈小欣 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)
出处 《高校应用数学学报(A辑)》 CSCD 北大核心 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)
关键词 相协样本 Wilcoxon两样本统计量 渐近分布 associated sample Wilcoxon two-sample statistic asymptotic distribution
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