On the performance of bivariate robust location estimators under contamination
A comparison study of various bivariate robust affine equivariant location estimators has been conducted under several contamination schemes. Also a new distance measure is introduced to define another kind of metrically trimmed mean(projection metrically trimmed mean) as a candidate for a robust location estimator. As criteria, dispersion measures suggested in Liu et al. (Ann. Statist. 27 (1999) 783858), which are Scale, Bias and Bias+scale is used. The relative merits of each estimator are discussed.
metrically trimmed means multivariate medians depth-trimmed means scale curve bias+scale curve