ecdf_bin

Evaluates the empirical cumulative distribution function
(ecdf) of a sample <code>data</code> at the evaluation points <code>sorted_x</code>.
This is done through binary search.

internal

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

ecdf_bin function

<dl><dt>data</dt>
<dd>a vector or column matrix containing the sample.</dd>
<dt>sorted_x</dt>
<dd>a vector or column matrix with the evaluation points
sorted increasingly.</dd>
<dt>data_sorted</dt>
<dd>is <code>data</code> is already sorted increasingly?
This avoids sorting the data internally.</dd>
<dt>efic</dt>
<dd>use the more efficient version of the ecdf evaluation? Set to
<code>FALSE</code> only for debugging purposes.</dd>
<dt>divide_n</dt>
<dd>if <code>FALSE</code>, returns the absolute frequencies instead
of the relative frequencies. Defaults to <code>TRUE</code>.</dd></dl>

Arguments

Be careful on avoiding the next bad usages of the function, which will
produce spurious results:<ul>
<li><code>sorted_x</code> is not sorted increasingly.</li>
<li><code>data</code> is not sorted increasingly when
 <code>data_sorted = TRUE</code>-</li>
</ul>

Warning

Original code from Douglas Bates'
<a href="https://github.com/dmbates/ecdfExample">https://github.com/dmbates/ecdfExample</a>. Minor adaptations by Eduardo
García-Portugués.

Author

Efficient evaluation of the empirical cumulative distribution
function — ecdf_bin

<dl>

<dt>data</dt>
<dd>a vector or column matrix containing the sample.</dd>


<dt>sorted_x</dt>
<dd>a vector or column matrix with the evaluation points
sorted increasingly.</dd>


<dt>data_sorted</dt>
<dd>is <code>data</code> is already sorted increasingly?
This avoids sorting the data internally.</dd>


<dt>efic</dt>
<dd>use the more efficient version of the ecdf evaluation? Set to
<code>FALSE</code> only for debugging purposes.</dd>


<dt>divide_n</dt>
<dd>if <code>FALSE</code>, returns the absolute frequencies instead
of the relative frequencies. Defaults to <code>TRUE</code>.</dd>

</dl>

Be careful on avoiding the next bad usages of the function, which will
produce spurious results:<ul>
<li><code>sorted_x</code> is not sorted increasingly.</li>
<li><code>data</code> is not sorted increasingly when
 <code>data_sorted = TRUE</code>-</li>
</ul>

Original code from Douglas Bates'
<a href='https://github.com/dmbates/ecdfExample'>https://github.com/dmbates/ecdfExample</a>. Minor adaptations by Eduardo
García-Portugués.

ecdf_bin: Efficient evaluation of the empirical cumulative distribution function

Description

Usage

Value

Arguments

Warning

Author