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Depth statistics
Depth statistics
2012/9/19
In 1975 John Tukey proposed a multivariate median which is the ‘deepest’ point in a given data cloud in Rd(Tukey, 1975). In measuring the depth of an arbitrary pointzwith respect to the data, he consi...
Fast nonparametric classification based on data depth
Alpha-procedure zonoid depth DD-plot pattern recog-nition supervised learning, misclassification rate
2012/9/19
A new procedure, calledDDα-procedure, is developed to solve the problem of classifyingd-dimensional objects into q≥2 classes. The pro-cedure is completely nonparametric; it usesq-dimensional depth plo...
General notions of depth for functional data
Multivariate functional depth central regions trimmed regions -depth graph depth location-slope depth grid depth principal component depth
2012/9/17
A data depth measures the centrality of a point with respect to an empirical distribution. Postulates are formulated, which a depth for functional data should satisfy, and a general approach is propos...