Name
Abstract | ||
|---|---|---|
The Tukey depth is an innovative concept in multivariate data analysis. It can be utilized to extend the univariate order concept and advantages to a multivariate setting. While it is still an open question as to whether the depth contours uniquely determine the underlying distribution, some positive answers have been provided. We extend these results to distributions with smooth depth contours, with elliptically symmetric distributions as special cases. The key ingredient of our proofs is the well-known Cramer-Wold theorem. |
Year | DOI | Venue |
|---|---|---|
2010 | 10.1016/j.jmva.2010.06.007 | J. Multivariate Analysis |
Keywords | Field | DocType |
multivariate data analysis,tukey depth,underlying distribution,innovative concept,secondary,characterization,62h12,62h10,smooth contour,depth contour,univariate order concept,key ingredient,positive answer,62h05,halfspace depth,open question,elliptically symmetric distribution,multivariate setting,primary,smooth depth contour | Symmetric function,Multivariate statistics,Pure mathematics,Mathematical proof,Univariate,Multivariate analysis,Statistics,Distribution function,Calculus,Mathematics | Journal |
Volume | Issue | ISSN |
101 | 9 | Journal of Multivariate Analysis |
Citations | PageRank | References |
3 | 0.68 | 0 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Linglong Kong | 1 | 42 | 11.37 |
| Yijun Zuo | 2 | 30 | 6.00 |