发表状态 | 已发表Published |
题名 | Testing Spherical Symmetry Based on Statistical Representative Points |
作者 | |
发表日期 | 2024-12-01 |
发表期刊 | Mathematics
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ISSN/eISSN | 2227-7390 |
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 |
DOI | 10.3390/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). |
条目包含的文件 | 条目无相关文件。 |
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