rhea

Craters on Rhea from Hirata (2016).

datasets

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>.

Eduardo Portugues

sphunif

Uniformity Tests on the Circle, Sphere, and Hypersphere

Eduardo García-Portugués

Thomas Verdebout

Alberto Fernández-de-Marcos

Paula Navarro

rhea function

A data frame with 3596 rows and 4 variables:<dl>
 <dt>name</dt>
<dd>name of the crater (if named).</dd> <dt>diameter</dt>
<dd>diameter of the crater (in km).</dd> <dt>theta</dt>
<dd>longitude angle \(\theta \in [0, 2\pi)\) of the
 crater center.</dd> <dt>phi</dt>
<dd>latitude angle \(\phi \in [-\pi/2, \pi/2]\) of the
 crater center.</dd>
</dl>

Format

Rhea craters from Hirata (2016) — rhea

A data frame with 3596 rows and 4 variables:<dl>
 <dt>name</dt>
<dd>name of the crater (if named).</dd>

 <dt>diameter</dt>
<dd>diameter of the crater (in km).</dd>

 <dt>theta</dt>
<dd>longitude angle \(\theta \in [0, 2\pi)\) of the
 crater center.</dd>

 <dt>phi</dt>
<dd>latitude angle \(\phi \in [-\pi/2, \pi/2]\) of the
 crater center.</dd>


</dl>

rhea: Rhea craters from Hirata (2016)

Description

Usage

Arguments

Format

Details

References

Examples