Calculate Random Direction Angles

Computes angles between random vectors and their projections onto first r components

This function simulates the angles between a random direction and a fixed rank `r` subspace in \(R^n\). Specifically, it calculates the angles between a random vector and the subspace spanned by the first `r` dimensions in an \(n\)-dimensional space.

Usage

randDirAngleMJ(n, r, nsim)

randDirAngleMJ(n, r, nsim)

Arguments

n

An integer representing the dimension of the vector space.

r

An integer representing the dimension of the subspace.

nsim

An integer representing the number of simulation samples.

Value

Vector of angles in degrees

A numeric vector of length `nsim`, containing the simulated random direction angles (in degrees).