  We improve the Monte-Carlo based QCD sum rules by introducing the rigorous
H\"older-inequality-determined sum rule window and a Breit-Wigner type
parametrization for the phenomenological spectral function. In this improved
sum rule analysis methodology, the sum rule analysis window can be determined
without any assumptions on OPE convergence or the QCD continuum.Therefore an
unbiased prediction can be obtained for the phenomenological parameters (the
hadronic mass and width etc.). We test the new approach in the $\rho$ meson
channel with re-examination and inclusion of $\alpha_s$ corrections to
dimension-4 condensates in the OPE. We obtain results highly consistent with
experimental values. We also discuss the possible extension of this method to
some other channels.
