r_unif function

Sample uniformly distributed circular and spherical data

Simulation of the uniform distribution on $[0, 2\pi)$ and c("$\n$", "$S^{p-1}:={x\\in R^p:||x||=1}$"), $p\ge 2$.

r_unif_cir(n, M = 1L, sorted = FALSE)

r_unif_sph(n, p, M = 1L)

Arguments

• n: sample size.
• M: number of samples of size n. Defaults to 1.
• sorted: return each circular sample sorted? Defaults to FALSE.
• p: integer giving the dimension of the ambient space $R^p$ that contains $S^{p-1}$.

Returns

• r_unif_cir: a matrix of size c(n, M) with M random samples of size n of uniformly-generated circular data on $[0, 2\pi)$.
• r_unif_sph: an array of size c(n, p, M) with M random samples of size n of uniformly-generated directions on $S^{p-1}$.

Examples

# A sample on [0, 2*pi)
n <- 5
r_unif_cir(n = n)

# A sample on S^1
p <- 2
samp <- r_unif_sph(n = n, p = p)
samp
rowSums(samp^2)

# A sample on S^2
p <- 3
samp <- r_unif_sph(n = n, p = p)
samp
rowSums(samp^2)