Directional Statistics

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... |

circ.cor1 | Circurlar correlations between two circular variables |

circlin.cor | Circular-linear correlation |

circ.summary | Summary statistics for circular data |

conc.test | A test for testing the equality of the concentration... |

cosap | Conversion of cosines to azimuth and plunge |

dirda.cv | Cross validation for estimating the classification rate |

Directional-package | This is an R package that provides methods for the... |

dirknn | k-NN algorithm using the arc cosinus distance |

dirknn.tune | k-NN algorithm using the arc cosinus distance. Tuning the k... |

ESAG.da | Cross validation for estimating the classification rate of a... |

ESAGda.pred | Prediction of a new observation using discriminant analysis... |

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. |

fb.saddle | Saddlepoint approximations of the Fisher-Bingham... |

fishkent | Hypothesis test for von Mises-Fisher distribution over Kent... |

f.rbing | Simulating from a Bingham 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... |

hcf.aov | Analysis of variance for (hyper-)spherical data |

hcf.circaov | Analysis of variance for circular data |

iagesag | Hypothesis test for IAG distribution over the ESAG... |

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.density | Density of the spherical Kent distribution |

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... |

knnreg.tune | Tuning of the k-NN regression with Euclidean or... |

kuiper | Uniformity tests for circular data. |

lambert | Lambert's equal area projection |

lambert.inv | Inverse of Lambert's equal area projection |

makefolds | Generate random folds for cross-validation |

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 |

mix.vmf | Mixtures of Von Mises-Fisher distributions |

mixvmf.contour | Contour plot of a mixture of von Mises-Fisher distributions... |

pvm | Probability density function of the von Mises-Fisher... |

quat2rot | Converting an unsigned unit quaternion to rotation matrix on... |

racg | Angular central Gaussian random values simulation |

rayleigh | Rayleigh's test of uniformity |

rbingham | Simulation from a Bingham distribution using any symmetric... |

rfb | Simulation of random values from a spherical Fisher-Bingham... |

rkent | Simulation of random values from a spherical Kent... |

rmatrixfisher | Simulation from a Matrix Fisher distribution on SO(3) |

rmixvmf | Random values simulation from a mixture of von Mises-Fisher... |

rot2eul | Compute the Euler angles from a rotation matrix on SO(3). |

rot2quat | Converting a rotation matrix on SO(3) to an unsigned unit... |

rotation | Rotation matrix to rotate a spherical vector along the... |

rot.matrix | Rotation matrix from a rotation axis and angle of rotation |

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 |

spherconc.test | Test for equality of concentration parameters for spherical... |

spher.cor | Spherical-spherical correlation |

sphereplot | Interactive 3D plot of spherical data |

spher.reg | Spherical-Spherical regression |

spml.mle | MLE of some circular distributions |

spml.reg | Circular or angular regression |

tang.conc | A test for testing the equality of the concentration... |

vec | Unit vector(s) with a given angle |

visual.check | Check visually whether matrix Fisher samples is correctly... |

vmf | MLE of von Mises-Fisher distribution |

vmf.contour | Contour plots of the von Mises-Fisher distribution on the... |

vmf.da | Cross validation for estimating the classification rate of a... |

vmfda.pred | Prediction of a new observation using discriminant analysis... |

vmf.kde | Kernel density estimation for (hyper-)spherical data using a... |

vmfkde.tune | Tuning of the bandwidth parameter in the von Mises-Fisher... |

vmf.kerncontour | Contour plot of spherical data using a von Mises-Fisher... |

vm.kde | Kernel density estimation of circular data with a von Mises... |

vmkde.tune | Tuning of the bandwidth parameter in the von Mises kernel for... |

wood.mle | MLe of the Wood bimodal distribution on the sphere |

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