  Effects of quantum statistics for nuclear matter equation of state are
analyzed in terms of the recently proposed quantum van der Waals model. The
system pressure is expanded over a small parameter $\delta \propto
n(mT)^{-3/2}[g(1-bn)]^{-1}$, where $n$ and $T$ are, respectively, the particle
number density and temperature, $m$ and $g$ the particle mass and degeneracy
factor. The parameter $b$ corresponds to the van der Waals excluded volume. The
corrections due to quantum statistics for the critical point values of $T_c$,
$n_c$, and the critical pressure $P_c$ are found within the linear and
quadratic orders over $\delta $. These approximate analytical results appear to
be in a good agreement with exact numerical calculations in the quantum van der
Waals model for interacting Fermi particles: the symmetric nuclear matter
($g=4$) and the pure neutron matter ($g=2$). They can be also applied to the
system of interacting Bose particles like the matter composed of $\alpha$
nuclei.
