  In part to search for a possible critical point (CP) in the phase diagram of
hot nuclear matter, a Beam Energy Scan was performed at the Relativistic
Heavy-Ion Collider at Brookhaven National Laboratory. The STAR experiment
collected significant Au+Au data sets at beam energies, $\sqrt{{\rm s}_{\rm
NN}}$, of 7.7, 11.5, 19.6, 27, 39, 62.4, and 200 GeV. Lattice and
phenomenological calculations suggest that the presence of a CP might result in
divergences of the thermodynamic susceptibilities and correlation length. The
statistical moments of the multiplicity distributions of particles reflecting
conserved quantities, such as net-charge and net-strangeness, are expected to
depend sensitively on these correlation lengths, making them attractive tools
in the search for a possible critical point. The centrality and beam-energy
dependence of the statistical moments of the net-charge multiplicity
distributions will be discussed. The observables studied include the lowest
four statistical moments (mean, variance, skewness, kurtosis) and the products
of these moments. The measured moments of the net-kaon multiplicity
distributions will also be presented. These will be compared to the predictions
from approaches lacking critical behavior, such as the Hadron Resonance Gas
model and Poisson statistics.
