  We derive the improved estimators for general interactions and employ these
for the continuous-time quantum Monte Carlo method. Using a worm algorithm we
show how measuring higher-ordered correlators leads to an improved
high-frequency behavior in irreducible quantities such as the one-particle
self-energy or the irreducible two-particle vertex for non-density-density
interactions. A good knowledge of the asymptotics of the two-particle vertex is
essential for calculating non-local electronic correlations using diagrammatic
extensions to the dynamical mean field theory as well as for calculating
susceptibilities. We test our algorithm against analytic results for the
multi-orbital atomic-limit and the Falicov-Kimball model.
