Sine-Cosine Weighted Circular Distributions

  • Fatemeh Shahsanaei Shahid Chamran University of Ahvaz, Iran
  • Rahim Chinipardaz
Keywords: Circular statistics, Sine-cosine weighted circular distribution, Maximum likelihood estimate, Trigonometric moment


This paper introduces a new family of multimodal and skew-symmetric circular distributions, namely, the sine-cosine weighted circular distribution. The fundamental properties of this family are examined in the context of a general case and three specific examples. Additionally, general solutions for estimating the parameters of any sine-cosine weighted circular distribution using maximum likelihood are provided. A likelihood-ratio test is performed to check the symmetry of the data. Lastly, two examples are presented that illustrate how the proposed model may be utilized to analyze two real-world case studies with asymmetric datasets.


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How to Cite
Shahsanaei, F., & Chinipardaz, R. (2023). Sine-Cosine Weighted Circular Distributions. Statistics, Optimization & Information Computing, 11(4), 936-948.
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