  The error propagation and statistical-noise reduction method of Reid and
Trainor for two-point correlation applications in high-energy collisions is
extended to include particle-pair references constructed by mixing two
particles from all event-pair combinations within event subsets of arbitrary
size. The Reid-Trainor method is also applied to other particle-pair mixing
algorithms commonly used in correlation analysis of particle production from
high-energy nuclear collisions. The statistical-noise reduction, inherent in
the Reid-Trainor event-mixing procedure, is shown to occur for these other
event-mixing algorithms as well. Monte Carlo simulation results are presented
which verify the predicted degree of noise reduction. In each case the final
errors are determined by the bin-wise particle-pair number, rather than by the
bin-wise single-particle count.
