By describing a large class of deep inelastic processes with standard
parametrization for the different parton species, we check the charact
eristic relationship dictated by Pauli principle: broader shapes for h
igher first moments. Indeed, the ratios between the second and the fir
st moments and the one between the third and the second moments for th
e valence partons is an increasing function of the first moment and ag
rees quantitatively with the values found with Fermi-Dirac distributio
ns.