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sdetorus: Statistical Tools for Toroidal Diffusions

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>.

Version: 0.1.10
Depends: R (≥ 3.6.0), Rcpp, mvtnorm
LinkingTo: Rcpp, RcppArmadillo
Suggests: rgl, Bessel, manipulate
Published: 2024-03-01
DOI: 10.32614/CRAN.package.sdetorus
Author: Eduardo García-Portugués ORCID iD [aut, cre]
Maintainer: Eduardo García-Portugués <edgarcia at est-econ.uc3m.es>
BugReports: https://github.com/egarpor/sdetorus
License: GPL-3
URL: https://github.com/egarpor/sdetorus
NeedsCompilation: yes
Citation: sdetorus citation info
Materials: NEWS
CRAN checks: sdetorus results

Documentation:

Reference manual: sdetorus.pdf

Downloads:

Package source: sdetorus_0.1.10.tar.gz
Windows binaries: r-devel: sdetorus_0.1.10.zip, r-release: sdetorus_0.1.10.zip, r-oldrel: sdetorus_0.1.10.zip
macOS binaries: r-release (arm64): sdetorus_0.1.10.tgz, r-oldrel (arm64): sdetorus_0.1.10.tgz, r-release (x86_64): sdetorus_0.1.10.tgz, r-oldrel (x86_64): sdetorus_0.1.10.tgz
Old sources: sdetorus archive

Reverse dependencies:

Reverse imports: ridgetorus

Linking:

Please use the canonical form https://CRAN.R-project.org/package=sdetorus to link to this page.

These binaries (installable software) and packages are in development.
They may not be fully stable and should be used with caution. We make no claims about them.