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题名Testing Spherical Symmetry Based on Statistical Representative Points
作者
发表日期2024-12-01
发表期刊Mathematics
ISSN/eISSN2227-7390
卷号12期号:24
摘要

This paper introduces a novel chisquare test for spherical symmetry, utilizing statistical representative points. The proposed representative-point-based chisquare statistic is shown, through a Monte Carlo study, to considerably improve the power performance compared to the traditional equiprobable chisquare test in many high-dimensional cases. While the test requires relatively large sample sizes to approximate the chisquare distribution, obtaining critical values from existing chisquare tables is simpler compared to many existing tests for spherical symmetry. A real-data application demonstrates the robustness of the proposed method against different choices of representative points. This paper argues that the use of representative points provides a new perspective in high-dimensional goodness-of-fit testing, offering an alternative approach to evaluating spherical symmetry in such contexts. By leveraging the flexibility of choosing the number of representative points, this method ensures more reliable detection of departures from spherical symmetry, especially in high-dimensional datasets. Overall, this research highlights the practical advantages of the proposed approach in statistical analysis, emphasizing its potential as a powerful tool in goodness-of-fit tests within the realm of high-dimensional data.

关键词chisquare test goodness of fit representative points spherical symmetry Student's t-distribution
DOI10.3390/math12243939
URL查看来源
收录类别SCIE
语种英语English
WOS研究方向Mathematics
WOS类目Mathematics
WOS记录号WOS:001384761500001
Scopus入藏号2-s2.0-85213280032
资助项目基于统计分布代表点的再抽样方法及其在大规模数据集分析中的应用
引用统计
文献类型期刊论文
条目标识符https://repository.uic.edu.cn/handle/39GCC9TT/12562
专题理工科技学院
通讯作者He, Ping
作者单位
1.Department of Statistics and Data Science,BNU-HKBU United International College,Zhuhai,519087,China
2.Guangdong Provincial Key Laboratory of Interdisciplinary Research and Application for Data Science,BNU-HKBU United International College,Zhuhai,519087,China
第一作者单位北师香港浸会大学
通讯作者单位北师香港浸会大学
推荐引用方式
GB/T 7714
Liang, Jiajuan,He, Ping,Liu, Qiong. Testing Spherical Symmetry Based on Statistical Representative Points[J]. Mathematics, 2024, 12(24).
APA Liang, Jiajuan, He, Ping, & Liu, Qiong. (2024). Testing Spherical Symmetry Based on Statistical Representative Points. Mathematics, 12(24).
MLA Liang, Jiajuan,et al."Testing Spherical Symmetry Based on Statistical Representative Points". Mathematics 12.24(2024).
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