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两样本相等性的面积统计量检验
  • ISSN号：1000-2367
  • 期刊名称：《河南师范大学学报：自然科学版》
  • 时间：0
  • 分类：O213.2[理学—概率论与数理统计;理学—数学]
  • 作者机构：[1]周口师范学院数学系,河南周口466001, [2]中国矿业大学理学院,北京100083
  • 相关基金：国家自然科学基金（11001267;11171001）;中央高校基本科研业务费（2009QS02）
作者： 卢梦霞[1], 凡美金[1,2]
关键词： BOOTSTRAP方法, 面积统计量, K-S统计量, 投影寻踪, Bootstrap method, area statistic test, K-S test, projection pursuit
中文摘要：

分布相同的非参数假设检验是统计学者一直关心的问题之一．关于面积统计量检验总体相等性，提出新的面积统计量TA1，TA2，TA3，TA4及相应的Bootstrap统计量TA1，TA2，TA3，TA4，并利用投影寻踪（PP）技术扩展到多维情况．证明了它们在原假设下有相同的极限分布，并进行了大量的模拟试验，验证选择上述统计量的合理性．

英文摘要：

Testing the equality of two distributions with nonparametric has long been an interesting issue in statistical inference. In this paper, we shall use the bootstrap and area statistic test TA1, Ta2, TAa, Ta4 and corresponding Bootstrapping test TA1 ,Ta2,Taa,TA4. And we use projection pursuit to expand this program from one-dimension to several-dimensions. In the case that the assumption is hold, some results on the limiting distributions of the statistics are obtained. Several simulation experiments are performed, and we get satisfied results.

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期刊信息
  • 《河南师范大学学报：自然科学版》
  • 北大核心期刊（2011版）
  • 主管单位:河南师范大学
  • 主办单位:河南师范大学
  • 主编：王记录
  • 地址：河南省新乡市建设东路46号
  • 邮编：453007
  • 邮箱：
  • 电话：0373-3329394 3329272
  • 国际标准刊号：ISSN：1000-2367
  • 国内统一刊号：ISSN：41-1109/N
  • 邮发代号:36-55
  • 获奖情况:
  • 国家新闻出版局、国家科委优秀学报奖,河南省科委、河南省教委优秀学报
  • 国内外数据库收录:
  • 美国化学文摘（网络版）,美国数学评论（网络版）,英国农业与生物科学研究中心文摘,德国数学文摘,英国动物学记录,中国中国科技核心期刊,中国北大核心期刊（2004版）,中国北大核心期刊（2008版）,中国北大核心期刊（2011版）,中国北大核心期刊（2014版）
  • 被引量:7535