Schwarz, Gideon Multivariate distributions with uniformly distributed projections. (English) Zbl 0577.60016 Ann. Probab. 13, 1371-1372 (1985). 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 Cited in 3 Documents MSC: 60E05 Probability distributions: general theory 62E10 Characterization and structure theory of statistical distributions Keywords:uniform marginals PDF BibTeX XML Cite \textit{G. Schwarz}, Ann. Probab. 13, 1371--1372 (1985; Zbl 0577.60016) Full Text: DOI OpenURL