  We propose a more physical parameterization of the gluon distribution for
global parton analyses of deep inelastic and related hard scattering data. In
the new parameterization the gluon distribution at large x in the MSbar-scheme
is driven by the valence quarks, which naturally produces a shoulder-like form
at high x, and hence produces a better description of the Tevatron inclusive
jet data. We perform the new analysis at both NLO and NNLO. The improvement is
found to be even better at NNLO than at NLO. We make available the new sets of
NLO and NNLO partons, which we denote by MRST2004.
