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Classes of Geometrically Generalized Von Mises Distributions

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Listed:
  • Thomas Dietrich

    (University of Rostock)

  • Wolf-Dieter Richter

    (University of Rostock)

Abstract

Starting from a norm-contoured or star-shaped, bivariate vector distribution giving rise to a generalized (non-Euclidean) radius coordinate, the conditional density of the polar angle given the fixed radius variable is derived and visualized. A model is fitted to real life data.

Suggested Citation

  • Thomas Dietrich & Wolf-Dieter Richter, 2017. "Classes of Geometrically Generalized Von Mises Distributions," Sankhya B: The Indian Journal of Statistics, Springer;Indian Statistical Institute, vol. 79(1), pages 21-59, May.
    • Handle: RePEc:spr:sankhb:v:79:y:2017:i:1:d:10.1007_s13571-016-0118-6
    DOI: 10.1007/s13571-016-0118-6
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    References listed on IDEAS

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    1. Kato, Shogo & Jones, M. C., 2010. "A Family of Distributions on the Circle With Links to, and Applications Arising From, Möbius Transformation," Journal of the American Statistical Association, American Statistical Association, vol. 105(489), pages 249-262.
    2. Jones, M.C. & Pewsey, Arthur, 2005. "A Family of Symmetric Distributions on the Circle," Journal of the American Statistical Association, American Statistical Association, vol. 100, pages 1422-1428, December.
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