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A study of the first four moments (mean, variance, skewness, and kurtosis)and their products ($\kappa\sigma^{2}$ and $S\sigma$) of the net-charge andnet-proton distributions in Au+Au collisions at $\sqrt{\rm s_{NN}}$ = 7.7-200GeV from HIJING simulations has been carried out. The skewness and kurtosis andthe collision volume independent products $\kappa\sigma^{2}$ and $S\sigma$ havebeen proposed as sensitive probes for identifying the presence of a QCDcritical point. A discrete probability distribution that effectively describesthe separate positively and negatively charged particle (or proton andanti-proton) multiplicity distributions is the negative binomial (or binomial)distribution (NBD/BD). The NBD/BD has been used to characterize particleproduction in high-energy particle and nuclear physics. Their application tothe higher moments of the net-charge and net-proton distributions is examined.Differences between $\kappa\sigma^{2}$ and a statistical Poisson assumption ofa factor of four (for net-charge) and 40% (for net-protons) can be accountedfor by the NBD/BD. This is the first application of the properties of theNBD/BD to describe the behavior of the higher moments of net-charge andnet-proton distributions in nucleus-nucleus collisions.

First Study of the Negative Binomial Distribution Applied to Higher Moments of Net-charge and Net-proton Multiplicity Distributions