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Multivariate distributions with uniformly distributed projections. (English) Zbl 0577.60016

The author considers the question: Is there a distribution in n space that has the same uniform distribution for its projection in all directions? He shows that there is one such distribution in each of the dimensions 1 to 3, and none for all higher dimensions.
Reviewer: M.Breger

MSC:

60E05 Probability distributions: general theory
62E10 Characterization and structure theory of statistical distributions
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