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<p>The von Mises distribution is one of the most well-known distributions used for modeling circular data. While there are numerous classical tests for its parameters, Bayesian hypothesis testing, particularly for the mean direction, has not been extensively explored. This paper develops a Bayesian hypothesis test for the mean direction of the von Mises distribution. Through a simulation study, it is demonstrated that Bayesian tests perform well. The method is then applied to a real dataset, revealing that researchers can gain valuable insights from this approach.</p>

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Bayesian testing for mean direction of a von Mises distribution

  • 期刊论文

  • 发表日期：

    2025年9月9日

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  • Fatemeh Shahsanaei,
  • Rahim Chinipardaz

摘要

The von Mises distribution is one of the most well-known distributions used for modeling circular data. While there are numerous classical tests for its parameters, Bayesian hypothesis testing, particularly for the mean direction, has not been extensively explored. This paper develops a Bayesian hypothesis test for the mean direction of the von Mises distribution. Through a simulation study, it is demonstrated that Bayesian tests perform well. The method is then applied to a real dataset, revealing that researchers can gain valuable insights from this approach.