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Inference based on data depth by Rainer Dyckerhoff

  • Rainer Dykerhoff
Part of the Lecture Notes in Statistics book series (LNS, volume 165)

Abstract

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.

Keywords

Minimal Span Tree Data Depth Data Cloud Scale Test Cauchy Distribution 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer Science+Business Media New York 2002

Authors and Affiliations

  • Rainer Dykerhoff

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