Directional Statistics


[Up] [Top]

Documentation for package ‘Directional’ version 3.0

Help Pages

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