On locally uniformly linearizable high breakdown location and scale functionals
On locally uniformly linearizable high breakdown location and scale functionals
This article gives two constructions of a weighted mean which has a large domain, is affinely equivariant, has a locally high breakdown point and is locally uniformly linearizable. One construction is based on $M$-functionals with smooth defining $\psi$- and $\chi$ -functions which are used to control the weighting. The second …