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Testing for diagonal symmetry based on center-outward ranking
Statistical Papers ( IF 1.3 ) Pub Date : 2022-05-12 , DOI: 10.1007/s00362-022-01316-w
Sakineh Dehghan, Mohammad Reza Faridrohani, Zahra Barzegar

This paper aims to propose a new class of permutation-invariant tests for diagonal symmetry around a known point based on the center-outward depth ranking. The asymptotic behavior of the proposed tests under the null distribution is derived. The performance of the proposed tests is assessed through a Monte Carlo study. The results show that the tests perform well comparing other procedures in terms of empirical sizes and empirical powers. We demonstrated that the proposed class includes the celebrated Wilcoxon signed-rank test as a special case in the univariate setting. Finally, we apply the tests to a well-known data set to illustrate the method developed in this paper.



中文翻译:

基于中心向外排序的对角对称性测试

本文旨在基于中心向外深度排序,针对已知点周围的对角线对称性提出一类新的置换不变测试。导出了在零分布下所提出的测试的渐近行为。建议测试的性能通过蒙特卡洛研究进行评估。结果表明,在经验规模和经验能力方面,与其他程序相比,这些测试表现良好。我们证明了所提议的类包括著名的 Wilcoxon 符号秩检验作为单变量设置中的一个特例。最后,我们将测试应用于一个众所周知的数据集,以说明本文开发的方法。

更新日期:2022-05-13
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