69 citations · 94 across the 5 of their papers we have counts for
6 papers · 1 filter
On the power of axial tests of uniformity on spheres
Christine Cutting, Davy Paindaveine, Thomas Verdebout
Testing uniformity on the -dimensional unit sphere is arguably the most fundamental problem in directional statistics. In this paper, we consider this problem in the framework o…
Preliminary test estimation in ULAN models
Davy Paindaveine, Joséa Rasoafaraniaina, Thomas Verdebout
Preliminary test estimation, which is a natural procedure when it is suspected a priori that the parameter to be estimated might take value in a submodel of the model at hand, is a…
Inference for spherical location under high concentration
Davy Paindaveine, Thomas Verdebout
Motivated by the fact that circular or spherical data are often much concentrated around a location , we consider inference about under "high concentration" asymptot…
Sign tests for weak principal directions
Davy Paindaveine, Julien Remy, Thomas Verdebout
We consider inference on the first principal direction of a -variate elliptical distribution. We do so in challenging double asymptotic scenarios for which this direction eventu…
Local powers of optimal one- and multi-sample tests for the concentration of Fisher-von Mises-Langevin distributions
Christophe Ley, Thomas Verdebout
One-sample and multi-sample tests on the concentration parameter of Fisher-von Mises-Langevin (FvML) distributions have been well studied in the literature. However, only very litt…
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…