Date of Original Version

10-2008

Type

Conference Proceeding

Abstract or Description

We generalize the Tukey depth to use cones instead of halfspaces. We prove a generalization of the center point theorem that for S ⊂ R2, there is a point s ∈S, with depth at least n/d+1 for cones of half-angle 45◦. This gives a notion of data depth for which an approximate median can always be found among the original set.

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