69 citations · 222 across the 18 of their papers we have counts for
25 papers
High-dimensional Sobolev tests on hyperspheres
Bruno Ebner, Eduardo García-Portugués, Thomas Verdebout
We derive the limit null distribution of the class of Sobolev tests of uniformity on the hypersphere as the dimension and the sample size diverge to infinity at arbitrary rates. Th…
Nonparametric Measure-Transportation-Based Methods for Directional Data
Marc Hallin, Hang Liu, Thomas Verdebout
This paper proposes various nonparametric tools based on measure transportation for directional data. We use optimal transports to define new notions of distribution and quantile f…
On a class of Sobolev tests for symmetry of directions, their detection thresholds, and asymptotic powers
Eduardo García-Portugués, Davy Paindaveine, Thomas Verdebout
We consider a class of symmetry hypothesis testing problems including testing isotropy on and testing rotational symmetry on the hypersphere . For…
Nonparametric tests of independence for circular data based on trigonometric moments
Eduardo García-Portugués, Pierre Lafaye de Micheaux, Simos G. Meintanis +1
We introduce nonparametric tests of independence for bivariate circular data based on trigonometric moments. Our contributions lie in (i) proposing nonparametric tests that are loc…
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…