Bounds for the Breakdown Point of the Simplicial Median

Z. Q. Chen

Journal of Multivariate Analysis, 1995, vol. 55, issue 1, 1-13

Abstract: Upper and lower bounds are given for the breakdown point of Liu's empirical simplicial median. This median has a strictly positive breakdown point but is a less robust location estimator than the median based on Tukey's data depth (D. Donoho and M. Gasko, Ann. Statist.20 (1992), 1803-1827).

Date: 1995
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