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A Bimodal Distribution on the Sphere

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  • Andrew Wood

Abstract

A distribution is proposed as a model for spherical data concentrated about two directions in roughly equal proportions. This distribution, which has convenient computational properties, includes the Fisher distribution as a special case (that in which the modal directions coincide).

Suggested Citation

  • Andrew Wood, 1982. "A Bimodal Distribution on the Sphere," Journal of the Royal Statistical Society Series C, Royal Statistical Society, vol. 31(1), pages 52-58, March.
    • Handle: RePEc:bla:jorssc:v:31:y:1982:i:1:p:52-58
    DOI: 10.2307/2347074
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    Cited by:

    1. Goodwin, Roger L, 2015. "Random Variables, Their Properties, and Deviational Ellipses: In Map Point and Excel, v 4.3," MPRA Paper 64863, University Library of Munich, Germany, revised 07 Jun 2015.
    2. Adelaide Figueiredo, 2017. "Clustering Directions Based on the Estimation of a Mixture of Von Mises-Fisher Distributions," The Open Statistics and Probability Journal, Bentham Open, vol. 8(1), pages 39-52, December.
    3. José T.A.S. Ferreira & Miguel A Juárez & MArk F.J. Steel, 2005. "Directional Log-spline Distributions," Econometrics 0511001, University Library of Munich, Germany.
    4. Vaidehi Dixit & Ryan Martin, 2022. "Estimating a Mixing Distribution on the Sphere Using Predictive Recursion," Sankhya B: The Indian Journal of Statistics, Springer;Indian Statistical Institute, vol. 84(2), pages 596-626, November.
    5. Goodwin, Roger L, 2014. "Random Variables, Their Properties, and Deviational Ellipses: In Map Point and Excel, v 4.0," MPRA Paper 64391, University Library of Munich, Germany, revised 15 May 2015.

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