Squaring the Circle and Cubing the Sphere: Circular and Spherical Copulas

Do there exist circular and spherical copulas in ℝd? That is, do there exist circularly symmetric distributions on the unit disk in ℝ2 and spherically symmetric distributions on the unit ball in ℝd, d ≥ 3, whose one-dimensional marginal distributions are uniform? The answer is yes for d = 2 and 3, w...

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Bibliographic Details
Main Authors: Michael D. Perlman, Jon A. Wellner
Format: Article
Language:English
Published: MDPI AG 2011-08-01
Series:Symmetry
Subjects:
Online Access:http://www.mdpi.com/2073-8994/3/3/574/