  The purpose of the present work is to establish decorrelation estimates for
some random discrete Schrodinger operator in dimension one. We prove that the
Minami estimates are consequences of the Wegner estimates and Localization. We
also prove decorrelation estimates at distinct energies for the random hopping
model and Schrodinger operators with alloy-type potentials. These results are
used to give a description of the spectral statistics.
