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The Pauli exclusion principle is advocated for constructing the proton andneutron deep inelastic structure functions in terms of Fermi-Diracdistributions that we parametrize with very few parameters. It allows a fairdescription of the recent NMC data on $F^p_2(x,Q^2)$ and $F^n_2(x,Q^2)$ at$Q^2=4 GeV^2$, as well as the CCFR neutrino data at $Q^2=3$ and $5 GeV^2$. Wealso make some reasonable and simple assumptions to relate unpolarized andpolarized quark parton distributions and we obtain, with no additional freeparameters, the spin dependent structure functions $xg^p_1(x,Q^2)$ and$xg^n_1(x,Q^2)$. Using the correct $Q^2$ evolution, we have checked that theyare in excellent agreement with the very recent SMC proton data at $Q^2=10GeV^2$ and the SLAC neutron data at $Q^2=2 GeV^2$.Comment: 17 pages,CPT-94/P.3032,latex,6 fig available on cpt.univ-mrs.fr  directory pub/preprints/94/fundamental-interactions /94-P.303

Experimental evidence for simple relations between unpolarized and polarized parton distributions