Testing Circular Antipodal Symmetry Through Data Depths

  • Giuseppe PandolfoEmail author
  • Giovanni Casale
  • Giovanni C. Porzio
Conference paper
Part of the Studies in Classification, Data Analysis, and Knowledge Organization book series (STUDIES CLASS)


This work discusses how to test antipodal symmetry of circular distributions through depth functions. Two notions of depths for circular data are adopted, and their performances are evaluated and compared through a simulation study.


Angular data depth Nonparametric statistics \(\ell \)-fold symmetric distributions 


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Copyright information

© Springer International Publishing AG 2018

Authors and Affiliations

  • Giuseppe Pandolfo
    • 1
    Email author
  • Giovanni Casale
    • 2
  • Giovanni C. Porzio
    • 2
  1. 1.Department of Industrial EngineeringUniversity of Naples Federico IINaplesItaly
  2. 2.Department of Economics and LawUniversity of Cassino and Southern LazioCassinoItaly

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