On M and P estimators that have breakdown point equal to

Min-Te Chao

Statistics & Probability Letters, 1986, vol. 4, issue 3, 127-131

Abstract: For a data cloud in Ep and M-estimator is defined with respect to a function [varrho] that satisfies the triangular inequality. In general, both M- and P-estimators can be defined over Ep for a certain function [varrho]. In this paper we show that if then the corresponding [varrho] function for the M- and P-estimators must satisfy a condition slightly weaker than the triangular inequality.

Keywords: M-estimator; P-estimator; breakdown; point; median (search for similar items in EconPapers)
Date: 1986
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