Robust plug-in estimators in proportional scatter models

We address the problem of estimating the principal axes and their size in the case of several populations under the assumption of a proportional model. We propose robust estimators for the common principal axes and their size. The robust estimators are based on asymptotically normal and equivariant robust scatter estimators. The asymptotic distribution of the robust estimators including the proportionality constants are derived. © 2003 Elsevier B.V. All rights reserved.