Generalization of Halfspace Depth
نویسنده
چکیده
A data depth is one of the most important concepts of nonparametric multivariate analysis. Several depth functions have been introduced since 1980. The halfspace depth is probably the most popular. This depth function has many desirable properties (they are stated in the general definition of statictical depth function). We show a way of generalization of the halfspace depth finding a broader class of depth functions. We introduced several examples and observe differences between usual halfspace depth and the band depth which is a member of the class of generalized halfspace depth functions.
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