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有关k个多元独立样本的非参数检验
  • 期刊名称：数学年刊 29A（3), 349-354, 2008
  • 时间：0
  • 分类：O212.7[理学—概率论与数理统计;理学—数学]
  • 作者机构：[1]浙江大学数学系,杭州310027
  • 相关基金：国家自然科学基金（No.10571159）和教育部博士点专项基金（No.20060335032）资助的项目.
  • 相关项目：非高斯过程样本理论中的极限定理
关键词： 数据深度, 非参数检验, X^2分布, Data depth, Nonparametric test, X^2 distribution
中文摘要：

设Fi（x）是R^p上总体Xi的分布函数,1≤i≤k.考虑假设问题H0：F1（x）=F2（x）=…=Fk（x）,（ ）x∈R^p,构造了一个检验统计量xn^2,并证明当H0成立时,其渐近分布是自由度为k-1的x^2分布.

英文摘要：

Let Fi（x）be the distribution function of the given population Xi on R^P,1≤i≤k.Consider the following hypothesis H0：F1（x）=F2（x）=…=Fk（x）,for all x∈R^p. The authors construct a test statistic xn^2 and show that its asymptotic distribution under the null hypothesis is the x^2 distribution with k-1 degrees of freedom as the size of sample tends to infinity.

同期刊论文项目
非高斯过程样本理论中的极限定理
期刊论文 52 会议论文 8 著作 1
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