  The shot noise of the current through a single electron transistor (SET),
coupled capacitively with an electronic box, is calculated, using the master
equation approach. We show that the noise may be sub-Poissonian or strongly
super-Poissonian, depending mainly on the box parameters and the gate. The
study also supports the idea that not negative differential conductance, but
charge accumulation in the quantum dot, responds for the super-Poissonian noise
observed.
