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

@article{Perlman2011SquaringTC,
  title={Squaring the Circle and Cubing the Sphere: Circular and Spherical Copulas},
  author={Michael D. Perlman and Jon A. Wellner},
  journal={Symmetry},
  year={2011},
  volume={3 3},
  pages={574-599}
}
Do there exist circular and spherical copulas in [Formula: see text]? That is, do there exist circularly symmetric distributions on the unit disk in [Formula: see text] and spherically symmetric distributions on the unit ball in [Formula: see text], d ≥ 3, whose one-dimensional marginal distributions are uniform? The answer is yes for d = 2 and 3, where the circular and spherical copulas are unique and can be determined explicitly, but no for d ≥ 4. A one-parameter family of elliptical… CONTINUE READING

From This Paper

Topics from this paper.
3 Citations
3 References
Similar Papers

References

Publications referenced by this paper.
Showing 1-3 of 3 references

On some characterizations of spherical distributions

  • R. B. Arellano-Valle
  • Statist. Probab. Lett
  • 2001
Highly Influential
1 Excerpt

Similar Papers

Loading similar papers…