Uniform convergence rates for halfspace depth
نویسندگان
چکیده
منابع مشابه
Error Probabilities for Halfspace Depth
Data depth functions are a generalization of one-dimensional order statistics and medians to real spaces of dimension greater than one; in particular, a data depth function quantifies the centrality of a point with respect to a data set or a probability distribution. One of the most commonly studied data depth functions is halfspace depth. It is of interest to computational geometers because it...
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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 c...
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ژورنال
عنوان ژورنال: Statistics & Probability Letters
سال: 2017
ISSN: 0167-7152
DOI: 10.1016/j.spl.2017.01.002