  We calculate the counting statistics of electron transfer through an open
quantum dot with charging interaction. A dot that is connected to leads by two
single-channel quantum point contacts in an in-plane magnetic field is
described by a Luttinger liquid with impurity at the Toulouse point. We find
that the fluctuations of the current through this conductor exhibit distinctive
interaction effects. Fluctuations saturate at high voltages, while the mean
current increases linearly with the bias voltage. All cumulants higher than the
second one reach at large bias a temperature independent limit.
