Computation of robust estimates of multivariate location and shape

David M Rocke, D. L. Woodruff

Research output: Contribution to journalArticle

37 Scopus citations

Abstract

This paper reviews the state of the art in the computation of robust estimates of multivariate location and shape using combinatorial estimators such as the minimum volume ellipsoid (MVE) and iterative M‐ and S‐estimators. We also present new results on the behavior of M‐ and S‐estimators in the presence of different types of outliers, and give the first computational evidence on compound estimators that use the MVE as a starting point for an S‐estimator. Problems with too many data points in too many dimensions cannot be handled by any available technology; however, the methods presented in this paper substantially extend the size of problem that can be successfully handled.

Original languageEnglish (US)
Pages (from-to)27-42
Number of pages16
JournalStatistica Neerlandica
Volume47
Issue number1
DOIs
StatePublished - 1993

Keywords

  • breakdown
  • genetic algorithms
  • heuristic search
  • minimum volume ellipsoid
  • M‐estimators
  • outliers
  • simulated anneating
  • tabu search

ASJC Scopus subject areas

  • Statistics and Probability
  • Statistics, Probability and Uncertainty

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