  The skewness and the kurtosis of the baryon number distributions are computed
within QCD-improved low energy effective models including quantum thermal and
density fluctuations. The results are compared with the Beam Energy Scan
experiment at RHIC. The theoretical results agree with the experimental
measurements up to errors, for the collision energy $\sqrt{s}\ge
19.6\,\mathrm{GeV}$. For smaller collision energies a discrepancy between
theoretical and experimental results develops. This discrepancy partially
relates to the lack of precision of the current setup for small collision
energies. It is outlined how this deficiency can be overcome.
