Cone Depth and the Center Vertex Theorem
نویسندگان
چکیده
We generalize the Tukey depth to use cones instead of halfspaces. We prove a generalization of the center point theorem that for S ⊂ R, 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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