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sphunif: 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 35 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 for 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' is coded in C++ by relying on the 'Rcpp' package. The package also provides several novel datasets and gives the replicability for the data applications/simulations in García-Portugués et al. (2021) <doi:10.1007/978-3-030-69944-4_12>, García-Portugués et al. (2023) <doi:10.3150/21-BEJ1454>, Fernández-de-Marcos and García-Portugués (2024) <doi:10.1016/j.spl.2024.110218>, and García-Portugués et al. (2025) <doi:10.1080/01621459.2025.2566414>.

Version:1.4.3
Depends:R (≥ 3.5.0),Rcpp
Imports:doFuture,doRNG,foreach,future,gsl,rotasym
LinkingTo:Rcpp,RcppArmadillo
Suggests:CompQuadForm,goftest,knitr,markdown,mvtnorm,numDeriv,progress,progressr,rmarkdown,scatterplot3d,testthat,viridisLite
Published:2025-11-09
DOI:10.32614/CRAN.package.sphunif
Author:Eduardo García-PortuguésORCID iD [aut, cre], Thomas VerdeboutORCID iD [aut], Alberto Fernández-de-Marcos [ctb], Paula Navarro [ctb]
Maintainer:Eduardo García-Portugués <edgarcia at est-econ.uc3m.es>
BugReports:https://github.com/egarpor/sphunif/issues
License:GPL-3
URL:https://github.com/egarpor/sphunif
NeedsCompilation:yes
Citation:sphunif citation info
Materials:NEWS
CRAN checks:sphunif results

Documentation:

Reference manual:sphunif.html ,sphunif.pdf
Vignettes:sphunif: Uniformity Tests on the Circle, Sphere, and Hypersphere (source,R code)

Downloads:

Package source: sphunif_1.4.3.tar.gz
Windows binaries: r-devel:sphunif_1.4.3.zip, r-release:sphunif_1.4.3.zip, r-oldrel:sphunif_1.4.3.zip
macOS binaries: r-release (arm64):sphunif_1.4.3.tgz, r-oldrel (arm64):sphunif_1.4.3.tgz, r-release (x86_64):sphunif_1.4.3.tgz, r-oldrel (x86_64):sphunif_1.4.3.tgz
Old sources: sphunif archive

Reverse dependencies:

Reverse imports:polykde,ridgetorus
Reverse suggests:QuadratiK

Linking:

Please use the canonical formhttps://CRAN.R-project.org/package=sphunifto link to this page.


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