ball_2d: On Affine Equivariant Multivariate Quantiles
Description
This function generates the directions u for which the geometric quantiles are computed.
Usage
ball_2d(r, n = 10)
Arguments
r
length of u computed as \(\sqrt{u_1^2+u_2^2}\).
n
number of u's, default is 10.
Value
a matrix of dimension (n,2) containing rowwise the distrinct u's.
Details
The Eulicdean norm of u has to be \(\le 1\), see Chakraborty, B. (2001).
References
Chakraborty, B. (2001). On affine equivariant multivariate quantiles.
Annals of the Institute of Statistical Mathematics, 53, 380--403. <https://doi.org/10.1023/A:1012478908041>.