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| Directional-package | This is an R package that provides methods for the statistical analysis of Directional data. |
| acg | MLE of the angular central Gaussian distribution |
| Arotation | Rotation axis and angle of rotation given a rotation matrix |
| bic.mixvmf | BIC to choose the number of components in a model based clustering using mixtures of von Mises-Fisher distributions |
| circ.cor1 | Circurlar correlations between two circular variables |
| circ.cor2 | Circurlar correlations between two circular variables |
| circ.summary | Summary statistics for circular data |
| circlin.cor | Circular-linear correlation |
| conc.test | A test for testing the equality of the concentration parameter among g samples, where g >= 2 for ciruclar data |
| cosap | Conversion of cosines to azimuth and plunge |
| dirknn | k-NN algorithm using the arc cosinus distance |
| dirknn.tune | k-NN algorithm using the arc cosinus distance. Tuning the k neigbours |
| embed.aov | Analysis of variance for (hyper-)spherical data |
| embed.circaov | Analysis of variance for circular data |
| ESAGdensity | Density of the ESAG distribution |
| ESAGmle | MLE of the ESAG distribution |
| ESAGsim | Random values generation from the ESAG distribution |
| euclid | Euclidean transformation |
| euclid.inv | Inverse of the Euclidean transformation |
| eul2rot | Construct a rotation matrix on SO(3) from the Euler angles. |
| f.rbing | Simulating from a Bingham distribution |
| fb.saddle | Saddlepoint approximations of the Fisher-Bingham distributions |
| fishkent | Hypothesis test for von Mises-Fisher distribution over Kent distribution |
| ggvm | MLE of the geometrically generalised von Mises distribution |
| group.gof | Goodness of fit test for grouped data |
| group.vm | Summary statistics for grouped circular data |
| habeck.rot | Generation of three-dimensional random rotations using Habeck's algorithm. |
| hcf.aov | Analysis of variance for (hyper-)spherical data |
| hcf.circaov | Analysis of variance for circular data |
| het.aov | Analysis of variance for (hyper-)spherical data |
| het.circaov | Analysis of variance for circular data |
| iag.mle | MLE of the spherical projected normal distribution |
| kent.contour | Contour plot of the Kent distribution without any data |
| kent.datacontour | Contour plot of the Kent distribution for some data |
| kent.logcon | Logarithm of the Kent distribution normalizing constant |
| kent.mle | MLe of the Kent distribution |
| knn.reg | k-NN regression with Euclidean or (hyper-)spherical response and or predictor variables |
| knnreg.tune | Tuning of the k-NN regression with Euclidean or (hyper-)spherical response and or predictor variables |
| kuiper | Uniformity tests for circular data. |
| lambert | Lambert's equal area projection |
| lambert.inv | Inverse of Lambert's equal area projection |
| lr.aov | Analysis of variance for (hyper-)spherical data |
| lr.circaov | Analysis of variance for circular data |
| matrixfisher.mle | Mle of the Matrix Fisher distribution on SO(3) |
| meandir.test | Test for a given mean direction |
| mediandir | Fast calculation of the spherical and hyperspherical median |
| mediandir_2 | Fast calculation of the spherical and hyperspherical median |
| mix.vmf | Mixtures of Von Mises-Fisher distributions |
| mixvmf.contour | Contour plot of a mixture of von Mises-Fisher distributions model for spherical data only. |
| pvm | Probability density function of the von Mises-Fisher distribution |
| quat2rot | Converting an unsigned unit quaternion to rotation matrix on SO(3) |
| racg | Angular central Gaussian random values simulation |
| rayleigh | Rayleigh's test of uniformity |
| rbingham | Simulation from a Bingham distribution using any symmetric matrix A |
| rfb | Simulation of random values from a spherical Fisher-Bingham distribution |
| rkent | Simulation of random values from a spherical Kent distribution |
| rmatrixfisher | Simulation from a Matrix Fisher distribution on SO(3) |
| rmixvmf | Random values simulation from a mixture of von Mises-Fisher distributions |
| rot.matrix | Rotation matrix from a rotation axis and angle of rotation |
| rot2eul | Compute the Euler angles from a rotation matrix on SO(3). |
| rot2quat | Converting a rotation matrix on SO(3) to an unsigned unit quaternion |
| rotation | Rotation matrix to rotate a spherical vector along the direction of another |
| rsop | Random sample of matrices in SO(p) |
| rvmf | Random values simulation from a von Mises-Fisher distribution |
| rvonmises | Random values simulation from a von Mises distribution |
| spher.cor | Spherical-spherical correlation |
| spher.reg | Spherical-Spherical regression |
| spherconc.test | Test for equality of concentration parameters for spherical data |
| spml.mle | MLE of some circular distributions |
| spml.reg | Circular or angular regression |
| tang.conc | A test for testing the equality of the concentration parameter among g samples, where g >= 2 for ciruclar data |
| vec | Unit vector(s) with a given angle |
| visual.check | Check visually whether matrix Fisher samples is correctly generated or not. |
| vm.kde | Kernel density estimation of circular data with a von Mises kernel |
| vmf | MLE of von Mises-Fisher distribution |
| vmf.contour | Contour plots of the von Mises-Fisher distribution on the sphere |
| vmf.da | Cross validation for estimating the classification rate of a discrminant analysis for directional data assuming a von Mises-Fisher distribution |
| vmf.kde | Kernel density estimation for (hyper-)spherical data using a von Mises-Fisher kernel |
| vmf.kerncontour | Contour plot of spherical data using a von Mises-Fisher kernel density estimate |
| vmfda.pred | Prediction of a new observation using discriminant analysis based on von Mises-Fisher distributions |
| vmfkde.tune | Tuning of the bandwidth parameter in the von Mises-Fisher kernel for (hyper-)spherical data |
| vmkde.tune | Tuning of the bandwidth parameter in the von Mises kernel for circular data |
| watson | Uniformity tests for circular data. |
| wood.mle | MLe of the Wood bimodal distribution on the sphere |
| wrapcauchy | MLE of some circular distributions |