sphere.integration

This function calculates the integral of a function \(f\) on the unit sphere.

internal

We provide an R tool for computation and nonparametric plug-in estimation of Highest Density Regions (HDRs) and general level sets in the directional setting. Concretely, circular and spherical HDRs can be reconstructed from a data sample following Saavedra-Nieves and Crujeiras (2021) <doi:10.1007/s11634-021-00457-4>. This library also contains two real datasets in the circular and spherical settings. The first one concerns a problem from animal orientation studies and the second one is related to earthquakes occurrences.

Paula Saavedra-Nieves

HDiR

Directional Highest Density Regions

Rosa M Crujeiras

Andrés Prieto

Felicita Scapini

sphere.integration function

<dl> <dt>f</dt>
<dd>Function to be integrated.</dd> <dt>mesh</dt>
<dd>Triangular mesh to be used. More details can be found in the description of <code>sphere.hdr</code> function.</dd> <dt>deg</dt>
<dd>Degree of the quadrature rules for triangles. More details can be found in the description of <code>sphere.hdr</code> function.</dd></dl>

Arguments

Andrés Prieto, Rosa M. Crujeiras and Paula Saavedra-Nieves.

Author

Numerical integration on the unit sphere — sphere.integration

<dl>

 <dt>f</dt>
<dd>Function to be integrated.</dd>

 <dt>mesh</dt>
<dd>Triangular mesh to be used. More details can be found in the description of <code>sphere.hdr</code> function.</dd>

 <dt>deg</dt>
<dd>Degree of the quadrature rules for triangles. More details can be found in the description of <code>sphere.hdr</code> function.</dd>

</dl>

sphere.integration: Numerical integration on the unit sphere

Description

Usage

Value

Arguments

Author