The finite-sample breakdown point of the Oja bivariate median and of the corresponding half-samples version

A. Niinimaa, H. Oja and Mara Tableman

Statistics & Probability Letters, 1990, vol. 10, issue 4, 325-328

Abstract: The purpose of this note is twofold. First it is shown that the finite-sample breakdown point of the bivariate median proposed by Oja (1983) is 2/(n + 2) which tends to zero rather than the previously conjectured . Then second, it is shown that applying a very general half-samples approach to the Oja criterion function leads to a class of estimators enjoying the 50% breakdown property and containing, as a special case, Rousseeuw's (1985, 1987) minimum covariance determinant estimator.

Date: 1990
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