Angular central Gaussian random values simulation:
Angular central Gaussian random values simulation
Description
Angular central Gaussian random values simulation.
Usage
racg(n, sigma)
Arguments
n
The sample size, a numerical value.
sigma
The covariance matrix in $R^d$.
Value
A matrix with the simulated data.
Details
The algorithm uses univariate normal random values and transforms them to multivariate via a spectral decomposition.
The vectors are then scaled to have unit length.
References
Tyler D. E. (1987). Statistical analysis for the angular central Gaussian distribution on the sphere. Biometrika 74(3): 579-589.