基于球散度的若干双样本试验的高维行为

IF 16.4 1区 化学 Q1 CHEMISTRY, MULTIDISCIPLINARY Accounts of Chemical Research Pub Date : 2023-01-01 DOI:10.5705/ss.202023.0069
Bilol Banerjee, A. Ghosh
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引用次数: 0

摘要

我们提出了一些基于球散度的双样本测试,并研究了它们的高维行为。首先,我们考虑高维低样本量(HDLSS)设置。在适当的正则性条件下,我们在HDLSS体系中建立了这些检验的一致性,其中维度增长到无穷大,而两个分布的样本量保持固定。接下来,我们表明,当样本量也随着尺寸的增加而增加时,这些条件可以放宽,在这种情况下,即使对于缩小的替代方案,也可以证明一致性。我们使用一个简单的例子来表明,即使在HDLSS制度中没有一致的测试,如果样本量以适当的速率随维度增加,所提议的测试也可以是一致的。这个速率是通过在某一类替代方案上建立这些测试的最小最大速率最优性来获得的。分析了几个模拟和基准数据集,将这些测试的经验性能与一些可用的用于测试两个高维分布的等式的最先进方法进行比较。
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High-Dimensional Behaviour of Some Two-Sample Tests Based on Ball Divergence
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来源期刊
Accounts of Chemical Research
Accounts of Chemical Research 化学-化学综合
CiteScore
31.40
自引率
1.10%
发文量
312
审稿时长
2 months
期刊介绍: Accounts of Chemical Research presents short, concise and critical articles offering easy-to-read overviews of basic research and applications in all areas of chemistry and biochemistry. These short reviews focus on research from the author’s own laboratory and are designed to teach the reader about a research project. In addition, Accounts of Chemical Research publishes commentaries that give an informed opinion on a current research problem. Special Issues online are devoted to a single topic of unusual activity and significance. Accounts of Chemical Research replaces the traditional article abstract with an article "Conspectus." These entries synopsize the research affording the reader a closer look at the content and significance of an article. Through this provision of a more detailed description of the article contents, the Conspectus enhances the article's discoverability by search engines and the exposure for the research.
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