trapezoidal.rule

This functions implements the trapezoidal rule for numerical integration of a function \(f\) over a threshold.

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

trapezoidal.rule function

<dl> <dt>f</dt>
<dd>Function to be integrated.</dd> <dt>step</dt>
<dd>Numeric value of the distance between points for integration.</dd> <dt>y</dt>
<dd>Numeric value of the threshold.</dd></dl>

Arguments

Paula Saavedra-Nieves and Rosa M. Crujeiras.

Author

Trapezoidal rule for numerical integration over a threshold — trapezoidal.rule

<dl>

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

 <dt>step</dt>
<dd>Numeric value of the distance between points for integration.</dd>

 <dt>y</dt>
<dd>Numeric value of the threshold.</dd>

</dl>

trapezoidal.rule: Trapezoidal rule for numerical integration over a threshold

Description

Usage

Value

Arguments

Author