We discuss the phenomenology of superconductivity resulting from the B
ose condensation of preformed pairs coexisting with unpaired fermions.
We show that this transition is more mean-field-like than the usual B
ose condensation, i.e., it is characterized by a relatively small valu
e of the Ginzburg parameter. We consider the Hall effect in the vortex
-flow regime and in the fluctuational regime above T-c, and show that
in this situation it is much less than in the transition driven entire
ly by Bose condensation but much larger than in usual superconductivit
y. We analyze the available Hall data and conclude that this phenomeno
logy describes reasonably well the data in the underdoped materials of
Y-Ba-Cu-O family but is not an appropriate description of optimally d
oped materials or underdoped La-Sr-Cu-O.