Uniformity Tests on the Circle, Sphere, and Hypersphere //
Implementation of uniformity tests on the circle and
(hyper)sphere. The main function of the package is unif_test(),
which conveniently collects more than 30 tests for assessing
uniformity on S^{p-1}={x in R^p : ||x||=1}, p = 2. The test
statistics are implemented in the unif_stat() function, which
allows computing several statistics to several samples within a
single call, thus facilitating Monte Carlo experiments.
Furthermore, the unif_stat_MC() function allows parallelizing
them in a simple way. The asymptotic null distributions of the
statistics are available through the function
unif_stat_distr(). The core of 'sphunif' is coded in C++ by
relying on the 'Rcpp' package. The package also provides
several novel datasets and gives the reproducibility for the
data application in Garca-Portugus, Navarro-Esteban and Cuesta-
Albertos (2020) arXiv:2008.09897.