  We study the effects of correlations on cumulants and their ratios of
net-proton multiplicity distributions which have been measured for central
(0\%-5\%) Au + Au collisions at the Relativistic Heavy Ion Collider (RHIC).
This effect has been studied assuming individual proton and anti-proton
distributions as a Poisson or Negative Binomial Distribution (NBD). In-spite of
significantly correlated production due to baryon number, electric charge
conservation and kinematical correlations of protons and anti-protons, the
measured cumulants of the net-proton distribution follow the independent
production model. In the present work we demonstrate how the introduction of
the correlations will affect the cumulants and their ratios for the difference
distributions. We have also demonstrated this study using the proton and
anti-proton distributions obtained from the HIJING event generator.
