plotSurface3D

Convenient wrapper for visualizing a real function of three
variables by means of a colour scale and alpha shading.

internal

Implementation of statistical methods for the estimation of
toroidal diffusions. Several diffusive models are provided, most of them
belonging to the Langevin family of diffusions on the torus. Specifically,
the wrapped normal and von Mises processes are included, which can be seen
as toroidal analogues of the Ornstein-Uhlenbeck diffusion. A collection of
methods for approximate maximum likelihood estimation, organized in four
blocks, is given: (i) based on the exact transition probability density,
obtained as the numerical solution to the Fokker-Plank equation; (ii) based
on wrapped pseudo-likelihoods; (iii) based on specific analytic
approximations by wrapped processes; (iv) based on maximum likelihood of
the stationary densities. The package allows the replicability of the
results in García-Portugués et al. (2019) <doi:10.1007/s11222-017-9790-2>.

Eduardo Portugues

sdetorus

Statistical Tools for Toroidal Diffusions

Eduardo García-Portugués

plotSurface3D function

<dl><dt>x, y, z</dt>
<dd>numerical grids for each dimension.</dd>
<dt>f</dt>
<dd>function to be plot. Must take a single argument (see examples).</dd>
<dt>t</dt>
<dd>a vector of length <code>length(x) * length(y) * length(z)</code>
containing the evaluation of <code>f</code> in the trivariate grid. If not
provided, it is computed internally.</dd>
<dt>nLev</dt>
<dd>number of levels in the colour scale.</dd>
<dt>levels</dt>
<dd>vector of breaks in the colour scale. If not provided, it is
set to <code>quantile(z, probs = seq(0, 1, l = nLev))</code>.</dd>
<dt>fVect</dt>
<dd>flag to indicate whether <code>f</code> is a vectorized function
(see examples).</dd>
<dt>size</dt>
<dd>size of points in pixels.</dd>
<dt>alpha</dt>
<dd>alpha value between <code>0</code> (fully transparent) and <code>1</code>
(opaque).</dd>
<dt>...</dt>
<dd>further arguments passed to <code>plot3d</code></dd></dl>

Arguments

Visualization of a 3D surface — plotSurface3D

<dl>

<dt>x, y, z</dt>
<dd>numerical grids for each dimension.</dd>


<dt>f</dt>
<dd>function to be plot. Must take a single argument (see examples).</dd>


<dt>t</dt>
<dd>a vector of length <code>length(x) * length(y) * length(z)</code>
containing the evaluation of <code>f</code> in the trivariate grid. If not
provided, it is computed internally.</dd>


<dt>nLev</dt>
<dd>number of levels in the colour scale.</dd>


<dt>levels</dt>
<dd>vector of breaks in the colour scale. If not provided, it is
set to <code>quantile(z, probs = seq(0, 1, l = nLev))</code>.</dd>


<dt>fVect</dt>
<dd>flag to indicate whether <code>f</code> is a vectorized function
(see examples).</dd>


<dt>size</dt>
<dd>size of points in pixels.</dd>


<dt>alpha</dt>
<dd>alpha value between <code>0</code> (fully transparent) and <code>1</code>
(opaque).</dd>


<dt>...</dt>
<dd>further arguments passed to <code>plot3d</code></dd>

</dl>

plotSurface3D: Visualization of a 3D surface

Description

Usage

Value

Arguments

Examples