  We compare the {\em pdf} and its low-order moments (variance and skewness) of
the smoothed PSCz galaxy density field and of the corresponding simulated PSCz
look-alikes, generated from N-body simulations of 6 different DM models; four
structure normalized with $\Gamma=0.25$ and $\sigma_{8}=0.55
\Omega_{\circ}^{-0.6}$, one COBE normalized and the old SCDM. The galaxy
distributions are smoothed with a Gaussian window at three different smoothing
scales $R_{sm}=5$, 10 and $15 \hm$. We find that the simulation PSCz look-alike
{\em pdf}'s are sensitive only on the normalization of the power spectrum,
probably due to shape similarity of the simulated galaxy power spectrum on the
relevant scales. We find that the only models that are consistent, at a high
significance level, with the observed PSCz {\em pdf} are models with a
relatively low power spectrum normalization $(\sigma_{8}=0.83)$.
  From the phenomenologically derived $\sigma_{8}-moments$ relation, fitted
from the simulation data, we find that the PSCz moments suggest $\sigma_{8}
\simeq 0.7$.
