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<p>In this paper, we investigate tests based on the characteristic function for assessing symmetry in the framework of circular data. We introduce new procedures that rely on the empirical characteristic function and are able to detect alternatives that classical tests often fail to capture. A Monte Carlo study confirms the nice power properties of our proposed tests, highlighting their effectiveness and robustness across different scenarios.</p>

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Testing for reflective symmetry on the circle with characteristic functions

  • 期刊论文

  • 发表日期：

    2026年6月18日

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  • Claire Brécheteau,
  • Thomas Verdebout

摘要

In this paper, we investigate tests based on the characteristic function for assessing symmetry in the framework of circular data. We introduce new procedures that rely on the empirical characteristic function and are able to detect alternatives that classical tests often fail to capture. A Monte Carlo study confirms the nice power properties of our proposed tests, highlighting their effectiveness and robustness across different scenarios.