  The power-law random banded matrices and the ultrametric random matrices are
investigated numerically in the regime where eigenstates are extended but all
integer matrix moments remain finite in the limit of large matrix dimensions.
Though in this case standard analytical tools are inapplicable, we found that
in all considered cases eigenvector distributions are extremely well described
by the generalised hyperbolic distribution which differs considerably from the
usual Porter-Thomas distribution but shares with it certain universal
properties.
