Transforms the Gamma
matrix from the definition of a Huesler--Reiss
distribution into the corresponding extremal correlation \(\chi\).
Gamma2chi(Gamma)
Numeric or matrix. The extremal correlation coefficient.
Numeric or matrix, with positive entries.
The formula for transformation from Gamma
to \(\chi\) that is applied element-wise is
$$\chi = 2 - 2 \Phi(\sqrt{\Gamma} / 2),$$
where \(\Phi\) is the standard normal distribution function.
This is the inverse of chi2Gamma
.