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An isobar-surfaces approach to multidimensional outlier-proneness

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  • Barme-Delcroix, Marie-Francoise
  • Gather, Ursula

Abstract

The aim of this paper is to define and investigate outlier-proneness for multivariate distributions. This is done by using a concept of ordering multivariate data based on isobar-surfaces, which yields an utmost analogy of the results to the univariate case.

Suggested Citation

  • Barme-Delcroix, Marie-Francoise & Gather, Ursula, 2000. "An isobar-surfaces approach to multidimensional outlier-proneness," Technical Reports 2000,20, Technische Universität Dortmund, Sonderforschungsbereich 475: Komplexitätsreduktion in multivariaten Datenstrukturen.
    • Handle: RePEc:zbw:sfb475:200020
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    References listed on IDEAS

    as
    1. Jacob, P. & Suquet, Ch., 1997. "Regression and asymptotical location of a multivariate sample," Statistics & Probability Letters, Elsevier, vol. 35(2), pages 173-179, September.
    2. Tomkins, R. J. & Wang, Hong, 1992. "Stability theorems for large order statistics with varying ranks," Statistics & Probability Letters, Elsevier, vol. 14(2), pages 91-95, May.
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    Cited by:

    1. Gather, Ursula & Davies, P. Laurie, 2004. "Robust Statistics," Papers 2004,20, Humboldt University of Berlin, Center for Applied Statistics and Economics (CASE).

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