  We consider a gas of bosons in a bichromatic optical lattice at finite
temperatures. As the amplitude of the secondary lattice grows, the
single-particles eigenstates become localized. We calculate the canonical
partition function using exact methods for the noninteracting and strongly
interacting limit and analyze the statistical properties of the superfluid
phase, localized phase and the strongly interacting gas. We show that those
phases may be distinguished in experiment using off-resonant light scattering.
