Equivariance and invariance issues often arise in multivariate statistical analysis. Statistical
procedures have to be modified sometimes to obtain an affine equivariant or invariant …

Visuri et al. proposed a technique for robust covariance matrix estimation based on different
notions of multivariate sign and rank. Among them, the spatial rank based covariance matrix …

In modern multivariate statistical analysis, affine invariance or equivariance for statistical
procedures are properties of paramount interest and importance. A statistical procedure …

This dissertation develops new outlyingness functions, and related methods, that at once are
affine invariant, robust, and computationally efficient. The first part develops new results for …

Classical multivariate statistical inference methods including multivariate analysis of
variance, principal component analysis, factor analysis, canonical correlation analysis are …

►“Two estimators of a parameter which agree for given data in one coordinate system
should continue to agree after transformation to another coordinate system.”►“A test …