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A note on Tyler's modification of the MAD for the Stahel-Donoho estimator

A note on Tyler's modification of the MAD for the Stahel-Donoho estimator

In 1994 Tyler proposed a modification of the MAD in order to achieve the maximal possible finite sample breakdown point for the Stahel-Donoho estimator based upon the median and the modified MAD. A proof is not given, however, and as far as we know has not been published yet. Moreover …