no code implementations • 25 Aug 2020 • Eduardo García-Portugués, Paula Navarro-Esteban, Juan A. Cuesta-Albertos
Testing uniformity of a sample supported on the hypersphere is one of the first steps when analysing multivariate data for which only the directions (and not the magnitudes) are of interest.
Methodology 62H11, 62H15
1 code implementation • 22 Aug 2020 • Eduardo García-Portugués, Paula Navarro-Esteban, Juan A. Cuesta-Albertos
We propose a projection-based class of uniformity tests on the hypersphere using statistics that integrate, along all possible directions, the weighted quadratic discrepancy between the empirical cumulative distribution function of the projected data and the projected uniform distribution.
Methodology Statistics Theory Statistics Theory 62H11, 62H15