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stat.ME2017
A new class of -norm zonoid depths
Xiaohui Liu, Yuanyuan Li, Qing Liu
Zonoid depth, as a well-known ordering tool, has been widely used in multivariate analysis. However, since its depth value vanishes outside the convex hull of the data cloud, it su…
stat.ME2017★ 1 cited
General notions of regression depth function
Xiaohui Liu, Yuanyuan Li
As a measure for the centrality of a point in a set of multivariate data, statistical depth functions play important roles in multivariate analysis, because one may conveniently co…
stat.ME2017
On similarity of the sample depth contours
Xiaohui Liu
In this paper, we investigate the similarity property of the sample projection depth contours. It turns out that some of these contours are of \emph{the same shape} with different…