  We consider the sampling of the coupled cluster expansion within stochastic
coupled cluster theory. Observing the limitations of previous approaches due to
the inherently non-linear behaviour of a coupled cluster wavefunction
representation we propose new approaches based upon an intuitive, well-defined
condition for sampling weights and on sampling the expansion in cluster
operators of different excitation levels. We term these modifications even and
truncated selection respectively. Utilising both approaches demonstrates
dramatically improved calculation stability as well as reduced computational
and memory costs. These modifications are particularly effective at higher
truncation levels owing to the large number of terms within the cluster
expansion that can be neglected, as demonstrated by the reduction of the number
of terms to be sampled at the level of CCSDT by 77% and at CCSDTQ56 by 98%.
