  We study theoretically the current-voltage characteristics, shot noise, and
full counting statistics of a quantum wire double barrier structure. We model
each wire segment by a spinless Luttinger liquid. Within the sequential
tunneling approach, we describe the system's dynamics using a master equation.
We show that at finite bias the non-equilibrium distribution of plasmons in the
central wire segment leads to increased average current, enhanced shot noise,
and full counting statistics corresponding to a super-Poissonian process. These
effects are particularly pronounced in the strong interaction regime, while in
the non-interacting case we recover results obtained earlier using detailed
balance arguments.
