  The paper contains essentially two new results. Physically, a deformation of
the parastatistics in a sense of quantum groups is carried out. Mathematically,
an alternative to the Chevalley description of the quantum orthosymplectic
superalgebra U_q[osp(2n+1/2m)] in terms of $m$ pairs of deformed parabosons and
$n$ pairs of deformed parafermions is outlined.
