  Assuming binary neutron star mergings as a standard-candle model for GRBs, an
independent estimate is obtained for the redshift of GRB970228 and GRB970508
with optical counterparts, using mean statistical properties of GRBs observed
by BATSE. We derive z=0.7\pm 0.1 and z=1.9\pm 0.1 for GRB970228 and GRB970508
respectively, depending on the power-law index of the GRB spectrum s=-1.1\pm
0.3 and the value of the redshift of the initial star formation z_*=3-10 in a
flat \Omega=1 Universe with a cosmological term \Lambda=0.7.
