  A method is derived to predict the structure of dijet-related hard components
of trigger-associated (TA) hadron correlations from p-p collisions based on
measured fragmentation functions (FFs) from e-e or p-pbar collisions and a
minimum-bias (MB) jet or scattered-parton spectrum from p-pbar collisions. The
method is based on the probability chain rule and Bayes' theorem and relates a
trigger-parton--associated-fragment system from reconstructed dijets to a
trigger-hadron--associated-hadron system from p-p data. The method is tested in
this study by comparisons of FF TA structure with preliminary p-p TA data but
can also be applied to p-A, d-A and A-A collisions over a range of energies.
Quantitative comparisons of measured TA correlations with FF-derived
predictions may confirm a QCD MB dijet mechanism for certain spectrum and
correlation structures whose origins are currently questioned and have been
attributed by some to collective expansion (flows).
