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Unconventional features of positive-breakdown estimators

Peter Rousseeuw ()

Statistics & Probability Letters, 1994, vol. 19, issue 5, 417-431

Abstract: This paper reviews some aspects of positive-breakdown regression that have been discussed. Apart from efficiency, also some related topics are addressed in order to obtain a broader view. Several unusual aspects are shown to be intimately connected with the exact fit property. It is argued that the latter is not a drawback but an interesting property, which helps to explain why positive-breakdown estimators often succeed at revealing a hidden structure in the data.

Keywords: Bias; curve; breakdown; point; computation; time; continuity; curse; of; dimensionality; curvature; efficiency; equivariance; exact; fit; property; monotonicity (search for similar items in EconPapers)
Date: 1994
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