sample_sphere_volume

0th

Percentile

Sample vectors uniformly from the volume of a sphere

Sample finite-dimensional vectors to use as latent position vectors in random dot product graphs

Usage
sample_sphere_volume(dim, n = 1, radius = 1, positive = TRUE)
Arguments
dim

Integer scalar, the dimension of the random vectors.

n

Integer scalar, the sample size.

Numeric scalar, the radius of the sphere to sample.

positive

Logical scalar, whether to sample from the positive orthant of the sphere.

Details

sample_sphere_volume generates uniform samples from $S^{dim-1}$ (the (dim-1)-sphere) i.e. the Euclidean norm of the samples is smaller or equal to radius.

Value

A dim (length of the alpha vector for sample_dirichlet) times n matrix, whose columns are the sample vectors.

Other latent position vector samplers: sample_dirichlet, sample_sphere_surface

Aliases
• sample_sphere_volume
Examples
# NOT RUN {