  We compare the parton distributions deduced in the framework of a quantum
statistical approach for both the longitudinal and transverse degrees of
freedom with the unpolarized distributions measured at Hera and with the
polarized ones proposed in a previous paper, which have been shown to be in
very good agreement also with the results of experiments performed after that
proposal. The agreement with Hera data in correspondence of very similar values
for the 'temperature' and the 'potentials' found in the previous work gives a
robust confirm of the statistical model. The feature of describing both
unpolarized and polarized parton distributions in terms of few parameters fixed
by data with large statistics and small systematic errors makes very attractive
the parametrization proposed here.
