  We discuss the counting statistics and current noise associated with the
double Josephson quasiparticle resonance point in a superconducting single
electron transistor. The counting statistics are in general phase-dependent,
despite the fact that the average current has no dependence on phase. Focusing
on parameter regimes where the counting statistics have no phase-dependence, we
use a general relation first derived by MacDonald in 1948 to obtain the full
frequency-dependent shot noise directly from the counting statistics, without
any further approximations. We comment on problems posed by the
phase-dependence of the counting statistics for the finite-frequency noise.
