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Spherical uniformity and some characterizations of the Cauchy distribution

Author

Listed:
  • Salama, Ibrahim A.
  • Sen, Pranab Kumar

Abstract

Given a fixed line L (in Rn) and a uniform distribution of points (c) on the unit sphere, L(tc), the point of intersection of L and the hyperplane P · c = 0, leads to a mapping Xn : Rn --> R, which is shown to have a Cauchy distribution.

Suggested Citation

  • Salama, Ibrahim A. & Sen, Pranab Kumar, 1992. "Spherical uniformity and some characterizations of the Cauchy distribution," Journal of Multivariate Analysis, Elsevier, vol. 41(2), pages 212-219, May.
    • Handle: RePEc:eee:jmvana:v:41:y:1992:i:2:p:212-219
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