  We study single-electron transport through a double quantum dot (DQD)
monitored by a capacitively coupled quantum point-contact (QPC) electrometer.
We derive the full counting statistics for the coupled DQD - QPC system and
obtain the joint probability distribution of the charges transferred through
the DQD and the QPC consistent with the fluctuation theorem (FT). The system
can be described by a master equation with tunneling rates depending of the
counting fields and satisfying a generalized local detailed-balance relation.
Furthermore, we derive universal relations between the non-linear corrections
to the current and noise, which can be verified in experiment.
