Directional Statistics

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Documentation for package ‘Directional’ version 4.4

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A B C D E F G H I K L M P Q R S T V W

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

-- A --

acg MLE of (hyper-)spherical distributions
Arotation Rotation axis and angle of rotation given a rotation matrix

-- B --

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

-- C --

circ.cor1 Circular correlations between two circular variables
circ.cor2 Circular correlations between two circular variables
circ.cors1 Circular correlations between two circular variables
circ.summary Summary statistics for circular data
circexp.mle MLE of some circular distributions
circlin.cor Circular-linear correlation
circpurka.density Density of some circular distributions
colspml.mle Column-wise MLE of the angular Gaussian and the von Mises Fisher distributions
colvm.mle Column-wise MLE of the angular Gaussian and the von Mises Fisher distributions
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
cosnn The k-nearest neighbours using the cosinus distance

-- D --

dirda.cv Cross validation for estimating the classification rate
dirknn k-NN algorithm using the arc cosinus distance
dirknn.tune k-NN algorithm using the arc cosinus distance. Tuning the k neigbours

-- E --

embed.aov Analysis of variance for (hyper-)spherical data
embed.boot Bootstrap 2-sample mean test for (hyper-)spherical data
embed.circaov Analysis of variance for circular data
embedcirc.perm Permutation based 2-sample mean test for circular data
ESAG.da Cross validation for estimating the classification rate of a discrminant analysis for directional data assuming an ESAG distribution
ESAGda.pred Prediction of a new observation using discriminant analysis based on ESAGdistribution
ESAGdensity Density of the spherical Kent and ESAG distributions
ESAGmle MLE of the ESAG distribution
ESAGsim Random values generation from the ESAG distribution
etoa Transform unit vectors to angular data
euclid Euclidean transformation
euclid.inv Inverse of the Euclidean transformation
eul2rot Construct a rotation matrix on SO(3) from the Euler angles.

-- F --

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

-- G --

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

-- H --

habeck.rot Generation of three-dimensional random rotations using Habeck's algorithm.
hcf.aov Analysis of variance for (hyper-)spherical data
hcf.boot Bootstrap 2-sample mean test for (hyper-)spherical data
hcf.circaov Analysis of variance for circular data
hcfcirc.perm Permutation based 2-sample mean test for circular data
het.aov Analysis of variance for (hyper-)spherical data
het.boot Bootstrap 2-sample mean test for (hyper-)spherical data
het.circaov Analysis of variance for circular data
hetcirc.perm Permutation based 2-sample mean test for circular data

-- I --

iag.density Density of some (hyper-)spherical distributions
iag.mle MLE of (hyper-)spherical distributions
iag.reg Spherical regression using the projected normal or the von Mises-Fisher distribution
iagesag Hypothesis test for IAG distribution over the ESAG distribution

-- K --

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 and ESAG distributions
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.

-- L --

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.boot Bootstrap 2-sample mean test for (hyper-)spherical data
lr.circaov Analysis of variance for circular data
lrcirc.perm Permutation based 2-sample mean test for circular data

-- M --

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
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.
multispml.mle MLE of some circular distributions with multiple samples
multivm.mle MLE of some circular distributions with multiple samples
multivmf MLE of (hyper-)spherical distributions

-- P --

purka.density Density of some (hyper-)spherical distributions
purka.mle MLE of the Purkayashta distribution
pvm Probability density function of the von Mises-Fisher distribution

-- Q --

quat2rot Converting an unsigned unit quaternion to rotation matrix on SO(3)

-- R --

racg Angular central Gaussian random values simulation
rayleigh Rayleigh's test of uniformity
rbingham Simulation from a Bingham distribution using any symmetric matrix A
read.fbm Read a file as a Filebacked Big Matrix
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 some circular distributions
rwrapcauchy Random values simulation from some circular distributions

-- S --

spher.cor Spherical-spherical correlation
spher.reg Spherical-Spherical regression
spherconc.test Test for equality of concentration parameters for spherical data
sphereplot Interactive 3D plot of spherical data
spml.density Density of some circular distributions
spml.fbed Forward Backward Early Dropping selection for circular data using the SPML regression
spml.mle MLE of some circular distributions
spml.nb Naive Bayes classifiers for directional data
spml.reg Circular or angular regression
spml.regs Many simple circular or angular regressions
spmlnb.pred Prediction with some naive Bayes classifiers for circular data

-- T --

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

-- V --

vec Unit vector(s) with a given angle
visual.check Check visually whether matrix Fisher samples is correctly generated or not.
vm.density Density of some circular distributions
vm.kde Kernel density estimation of circular data with a von Mises kernel
vm.nb Naive Bayes classifiers for directional data
vmf MLE of (hyper-)spherical distributions
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.density Density of some (hyper-)spherical distributions
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
vmf.reg Spherical regression using the projected normal or the von Mises-Fisher distribution
vmfda.pred Prediction of a new observation using discriminant analysis based on von Mises-Fisher distribution
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
vmnb.pred Prediction with some naive Bayes classifiers for circular data

-- W --

watson Uniformity tests for circular data.
wood.mle MLe of the Wood bimodal distribution on the sphere
wrapcauchy MLE of some circular distributions
wrapcauchy.density Density of some circular distributions