5 papers
A class of nonparametric homogeneity tests on the circle
Alberto Fernández-de-Marcos, Eduardo García-Portugués
We develop a unified framework for -sample homogeneity testing on the circle. The proposed class of -sample Sobolev tests generalizes the two-sample Sobolev tests based on un…
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…
Kernel density estimation with polyspherical data and its applications
Eduardo García-Portugués, Andrea Meilán-Vila
A kernel density estimator for data on the polysphere , with , is presented in this paper. We derive the…
A family of toroidal diffusions with exact likelihood inference
Eduardo García-Portugués, Michael Sørensen
We provide a class of diffusion processes for continuous time-varying multivariate angular data with explicit transition probability densities, enabling exact likelihood inference.…
A stereographic test of spherical uniformity
Alberto Fernández-de-Marcos, Eduardo García-Portugués
We introduce a test of uniformity for (hyper)spherical data motivated by the stereographic projection. The closed-form expression of the test statistic and its null asymptotic dist…