sphunif-package: 'sphunif': Uniformity Tests on the Circle, Sphere, and...

In sphunif: Uniformity Tests on the Circle, Sphere, and Hypersphere

sphunif: Uniformity Tests on the Circle, Sphere, and Hypersphere

Description

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}=\{{\bf x}\in R^p:||{\bf x}||=1\}, p\ge 2. The test statistics are implemented in the unif_stat function, which allows computing several statistics to different 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-package is coded in C++ by relying on the Rcpp-package. The package also provides several novel datasets and gives the replicability for the data application in García-Portugués, Navarro-Esteban and Cuesta-Albertos (2023) <doi:10.3150/21-BEJ1454>.

Author(s)

Eduardo García-Portugués and Thomas Verdebout.

References

García-Portugués, E. and Verdebout, T. (2018) An overview of uniformity tests on the hypersphere. arXiv:1804.00286. https://arxiv.org/abs/1804.00286.

García-Portugués, E., Navarro-Esteban, P., Cuesta-Albertos, J. A. (2023) On a projection-based class of uniformity tests on the hypersphere. Bernoulli, 29(1):181–204. \Sexpr[results=rd]{tools:::Rd_expr_doi("10.3150/21-BEJ1454")}.

García-Portugués, E., Navarro-Esteban, P., and Cuesta-Albertos, J. A. (2021). A Cramér–von Mises test of uniformity on the hypersphere. In Balzano, S., Porzio, G. C., Salvatore, R., Vistocco, D., and Vichi, M. (Eds.), Statistical Learning and Modeling in Data Analysis, Studies in Classification, Data Analysis and Knowledge Organization, pp. 107–-116. Springer, Cham. \Sexpr[results=rd]{tools:::Rd_expr_doi("10.1007/978-3-030-69944-4_12")}.

García-Portugués, E., Paindaveine, D., and Verdebout, T. (2021). On the power of Sobolev tests for isotropy under local rotationally symmetric alternatives. arXiv:2108.09874. https://arxiv.org/abs/2108.09874

sphunif documentation built on Aug. 21, 2023, 9:11 a.m.