Directional

Rotation axis and angle of rotation given a rotation matrix

This is an R package that provides methods for the statistical analysis of directional data, including massive (very large scale) directional data.

BIC to choose the number of components in a model based clustering using mixtures of von Mises-Fisher distributions

Circular correlations between two circular variables

Circular correlations between two circular variables

Summary statistics for circular data

Circular-linear correlation

Column-wise MLE of the angular Gaussian and the von Mises Fisher distributions

A test for testing the equality of the concentration parameter among g samples, where g >= 2 for ciruclar data

Conversion of cosines to azimuth and plunge

The k-nearest neighbours using the cosinus distance

Cross validation for estimating the classification rate

k-NN algorithm using the arc cosinus distance

k-NN algorithm using the arc cosinus distance. Tuning the k neigbours

Density of the spherical Kent and ESAG distributions

Density of some circular distributions

Density of some (hyper-)spherical distributions

Cross validation for estimating the classification rate of a discrminant analysis for directional data assuming an ESAG distribution

MLE of the ESAG distribution

Prediction of a new observation using discriminant analysis based on ESAGdistribution

Transform unit vectors to angular data

Euclidean transformation

Inverse of the Euclidean transformation

Construct a rotation matrix on SO(3) from the Euler angles.

Simulating from a Bingham distribution

Saddlepoint approximations of the Fisher-Bingham distributions

Hypothesis test for von Mises-Fisher distribution over Kent distribution

Goodness of fit test for grouped data

Summary statistics for grouped circular data

Generation of three-dimensional random rotations using Habeck's algorithm.

Analysis of variance for (hyper-)spherical data

Bootstrap 2-sample mean test for (hyper-)spherical data

Analysis of variance for circular data

Permutation based 2-sample mean test for (hyper-)spherical data

Bootstrap 2-sample mean test for circular data

Permutation based 2-sample mean test for circular data

Spherical regression using the projected normal or the von Mises-Fisher distribution

Hypothesis test for IAG distribution over the ESAG distribution

Contour plot of the Kent distribution without any data

Contour plot of the Kent distribution for some data

Logarithm of the Kent distribution normalizing constant

MLe of the Kent distribution

k-NN regression with Euclidean or (hyper-)spherical response and or predictor variables

Tuning of the k-NN regression with Euclidean or (hyper-)spherical response and or predictor variables

Uniformity tests for circular data.

Lambert's equal area projection

Inverse of Lambert's equal area projection

Generate random folds for cross-validation

MLE of the Matrix Fisher distribution on SO(3)

Test for a given mean direction

Fast calculation of the spherical and hyperspherical median

Contour plot of a mixture of von Mises-Fisher distributions model for spherical data only.

Mixtures of Von Mises-Fisher distributions

MLE of some circular distributions with multiple samples

MLE of the Purkayashta distribution

Probability density function of the von Mises-Fisher distribution

Converting an unsigned unit quaternion to rotation matrix on SO(3)

Angular central Gaussian random values simulation

Rayleigh's test of uniformity

Simulation from a Bingham distribution using any symmetric matrix A

Read a file as a Filebacked Big Matrix

Random values generation from the ESAG distribution

Simulation of random values from a spherical Fisher-Bingham distribution

Simulation of random values from a spherical Kent distribution

Simulation from a Matrix Fisher distribution on SO(3)

Random values simulation from a mixture of von Mises-Fisher distributions

Rotation matrix from a rotation axis and angle of rotation

Compute the Euler angles from a rotation matrix on SO(3).

Converting a rotation matrix on SO(3) to an unsigned unit quaternion

Rotation matrix to rotate a spherical vector along the direction of another

Random sample of matrices in SO(p)

Simulation of random values from rotationally symmetric distributions

Random values simulation from some circular distributions

Spherical-spherical correlation

Spherical-Spherical regression

Test for equality of concentration parameters for spherical data

Interactive 3D plot of spherical data

Forward Backward Early Dropping selection for circular data using the SPML regression

MLE of some circular distributions

Circular or angular regression

Many simple circular or angular regressions

A test for testing the equality of the concentration parameter among g samples, where g >= 2 for ciruclar data

Generation of unit vector(s) with a given angle

Check visually whether matrix Fisher samples is correctly generated or not.

Kernel density estimation of circular data with a von Mises kernel

Naive Bayes classifiers for directional data

Contour plots of the von Mises-Fisher distribution on the sphere

Cross validation for estimating the classification rate of a discrminant analysis for directional data assuming a von Mises-Fisher distribution

Kernel density estimation for (hyper-)spherical data using a von Mises-Fisher kernel

Contour plot of spherical data using a von Mises-Fisher kernel density estimate

MLE of (hyper-)spherical distributions

Prediction of a new observation using discriminant analysis based on von Mises-Fisher distribution

Tuning of the bandwidth parameter in the von Mises-Fisher kernel for (hyper-)spherical data

Tuning of the bandwidth parameter in the von Mises kernel for circular data

Prediction with some naive Bayes classifiers for circular data

MLe of the Wood bimodal distribution on the sphere