%0 Generic
%A Dümbgen, Lutz
%A Tyler, David
%C Heidelberg
%D 1997
%F heidok:21425
%K Breakdown; coplanar contamination; tight contamination; M-functional; scatter matrix; symmetrization
%R 10.11588/heidok.00021425
%T On the Breakdown Properties of Two M-Functionals of Scatter
%U https://archiv.ub.uni-heidelberg.de/volltextserver/21425/
%X The breakdown properties of two M-functionals of scatter are treated. The first functional is Tyler's (1987) M-functional for distributions onq-dimensional space, centered at zero. The second functional is Tyler's M-functional applied to symmetrized distributions. While deriving explicitformulas for the breakdown points, we also investigate the causes of breakdownin detail.