random_covmat
generates random VAR model \((dxd)\) error term covariance matrix \(\Omega\)
from (scaled) Wishart distribution.
random_covmat(d, omega_scale)
number of time series in the system.
a size \((dx1)\) strictly positive vector specifying the scale and variability of the
random covariance matrices in random mutations. The covariance matrices are drawn from (scaled) Wishart distribution.
Expected values of the random covariance matrices are diag(omega_scale)
. Standard deviations
of the diagonal elements are sqrt(2/d)*omega_scale[i]
and for non-diagonal elements they are sqrt(1/d*omega_scale[i]*omega_scale[j])
.
Note that for d>4
this scale may need to be chosen carefully. Default in GAfit
is
var(stats::ar(data[,i], order.max=10)$resid, na.rm=TRUE), i=1,...,d
.
Returns \((d(d+1)/2x1)\) vector containing vech-vectorized covariance matrix \(\Omega\).