Spherical uniformity and some characterizations of the Cauchy distribution

DOI10.1016/0047-259X(92)90067-PzbMath0746.62054MaRDI QIDQ1191999

Ibrahim A. Salama, Pranab Kumar Sen

Publication date: 27 September 1992

Published in: Journal of Multivariate Analysis (Search for Journal in Brave)

zbMATH Keywords

characterizationsspherical uniformityunit sphereCauchy distributionpoint of intersectionfixed lineorthogonal hyperplanespolar transformationuniform distribution of points

Mathematics Subject Classification ID

Geometric probability and stochastic geometry (60D05) Characterization and structure theory for multivariate probability distributions; copulas (62H05) Distribution theory (60E99)

Cites Work

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• Isotropy and sphericity: Some characterisations of the normal distribution
• On the theory of elliptically contoured distributions
• On the Laws of Cauchy and Gauss
• Robust Statistics

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