252 citations · 827 across the 31 of their papers we have counts for
31 papers · 1 filter
Möbius-Invariant Goodness-of-Fit Tests for the Spherical Cauchy Model
Diego Bolón, Davy Paindaveine
We introduce a class of goodness-of-fit tests for the spherical Cauchy model on the unit hypersphere. The proposed procedures exploit the invariance of the spherical Cauchy family…
On the consistency of incomplete U-statistics under infinite second-order moments}
Alexander Dürre, Davy Paindaveine
We derive a consistency result, in the -sense, for incomplete U-statistics in the non-standard case where the kernel at hand has infinite second-order moments. Assuming that t…
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…
On the behavior of extreme -dimensional spatial quantiles under minimal assumptions
Davy Paindaveine, Joni Virta
"Spatial" or "geometric" quantiles are the only multivariate quantiles coping with both high-dimensional data and functional data, also in the framework of multiple-output quantile…
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…