  In this contribution we apply a new variant of the density of states method
to the Z3 spin model at finite density. We use restricted expectation values
evaluated with Monte Carlo simulations and study their dependence on a control
parameter lambda. We show that a sequence of one-parameter fits to the
Monte-Carlo data as a function of lambda is sufficient to completely determine
the density of states. We expect that this method has smaller statistical
errors than other approaches since all generated Monte Carlo data are used in
the determination of the density. We compare results for magnetization and
susceptibility to a reference simulation in the dual representation of the Z3
spin model and find good agreement for a wide range of parameters.
