  In this paper, new methodology -- direct approach -- for the determination of
the attainable CR type bound of the pure state model, is proposed and
successfully applied to the wide variety of pure state models, for example, the
2-dimensional arbitrary model, the coherent model with arbitrary dimension.
When the weight matrix is $SLD$ Fisher information, the bound is determined for
arbitrary pure state models. Manifestation of complex structure in the
Cramer-Rao type bound is also discussed.
