Inference based on data depth by Rainer Dyckerhoff
Tests which are based on the rank statistic play an important role in univariate nonparametric statistics. The rank statistic of a sample assigns to each sample variable its position in the order statistic. If one tries to generalize rank tests to the multivariate case, one is faced with the problem of defining a multivariate order statistic. Because of the absence of a natural linear order on ℝ d it is not clear how to define a multivariate order or rank statistic in a meaningful way.
KeywordsMinimal Span Tree Data Depth Data Cloud Scale Test Cauchy Distribution
Unable to display preview. Download preview PDF.