252 citations · 827 across the 31 of their papers we have counts for
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math.ST2012★ 69 cited
Optimal rank-based testing for principal components
Marc Hallin, Davy Paindaveine, Thomas Verdebout
This paper provides parametric and rank-based optimal tests for eigenvectors and eigenvalues of covariance or scatter matrices in elliptical families. The parametric tests extend t…
math.ST2012★ 25 cited
Nonparametrically consistent depth-based classifiers
Davy Paindaveine, Germain Van Bever
We introduce a class of depth-based classification procedures that are of a nearest-neighbor nature. Depth, after symmetrization, indeed provides the center-outward ordering that i…
math.ST2012★ 45 cited
Semiparametrically efficient inference based on signed ranks in symmetric independent component models
Pauliina Ilmonen, Davy Paindaveine
We consider semiparametric location-scatter models for which the -variate observation is obtained as , where is a -vector, is a full-rank matrix a…