# PCA on the Torus via Density Ridges

## Documentation for package ‘ridgetorus’ version 1.0.1

- DESCRIPTION file.
- User guides, package vignettes and other documentation.

## Help Pages

ridgetorus-package | 'ridgetorus': PCA on the Torus via Density Ridges
arclength_ridge_curve | Fourier-fitted ridge curve and related utilities
biv_lrt | Tests of homogeneity and independence in bivariate sine von Mises and wrapped Cauchy distributions
bvm | Density evaluation, sampling, and parameter estimation of the bivariate sine von Mises distribution
bwc | Density evaluation, sampling, and parameter estimation of the bivariate wrapped Cauchy distribution
bwn | Density evaluation, sampling, and parameter estimation of the bivariate wrapped normal distribution
const_bvm | Density evaluation, sampling, and parameter estimation of the bivariate sine von Mises distribution
der_ridge_curve | Fourier-fitted ridge curve and related utilities
dist_ridge_curve | Fourier-fitted ridge curve and related utilities
d_bvm | Density evaluation, sampling, and parameter estimation of the bivariate sine von Mises distribution
d_bwc | Density evaluation, sampling, and parameter estimation of the bivariate wrapped Cauchy distribution
d_bwn | Density evaluation, sampling, and parameter estimation of the bivariate wrapped normal distribution
earthquakes | Japanese earthquakes dataset
fit_bvm_mle | Density evaluation, sampling, and parameter estimation of the bivariate sine von Mises distribution
fit_bvm_mm | Density evaluation, sampling, and parameter estimation of the bivariate sine von Mises distribution
fit_bwc_mle | Density evaluation, sampling, and parameter estimation of the bivariate wrapped Cauchy distribution
fit_bwc_mm | Density evaluation, sampling, and parameter estimation of the bivariate wrapped Cauchy distribution
fit_bwn_mle | Density evaluation, sampling, and parameter estimation of the bivariate wrapped normal distribution
frechet | Fréchet statistics on the torus
frechet_mean | Fréchet statistics on the torus
frechet_ss | Fréchet statistics on the torus
max_score_2 | Scores and scales for Fourier-fitted ridge curves
proj_ridge_curve | Fourier-fitted ridge curve and related utilities
ridgetorus | 'ridgetorus': PCA on the Torus via Density Ridges
ridge_bvm | Connected component of the toroidal density ridge of a bivariate sine von Mises, bivariate wrapped Cauchy, and bivariate wrapped normal
ridge_bwc | Connected component of the toroidal density ridge of a bivariate sine von Mises, bivariate wrapped Cauchy, and bivariate wrapped normal
ridge_bwn | Connected component of the toroidal density ridge of a bivariate sine von Mises, bivariate wrapped Cauchy, and bivariate wrapped normal
ridge_curve | Fourier-fitted ridge curve and related utilities
ridge_distr | Connected component of the toroidal density ridge of a bivariate sine von Mises, bivariate wrapped Cauchy, and bivariate wrapped normal
ridge_fourier_fit | Fourier expansion of a given curve
ridge_pca | Toroidal PCA via density ridges
ridge_scores | Scores and scales for Fourier-fitted ridge curves
r_bvm | Density evaluation, sampling, and parameter estimation of the bivariate sine von Mises distribution
r_bwc | Density evaluation, sampling, and parameter estimation of the bivariate wrapped Cauchy distribution
r_bwn | Density evaluation, sampling, and parameter estimation of the bivariate wrapped normal distribution
santabarbara | Santa Barbara currents
show_ridge_pca | Illustration of toroidal PCA via density ridges
torus_dist | Toroidal distances
torus_pairs | Toroidal pairs plot
wind | Texas wind dataset