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By the generator of the UrQMD model, event statistics for the products ofkurtosis ($\kappa$) and variance ($\sigma^2$) of net-proton and net-chargemultiplicity distributions are carefully studied. It is shown that thestatistics at RHIC/BES below $\sqrt {s_{NN}} < 19.6$ GeV are not sufficient forusing the method of Centrality Bin Width Correction (CBWC). Correspondingresults are systematically underestimated. A way to improve the CBWC method isproposed. It can remove the statistics dependence of the data and reduce theinitial size fluctuation as well.

Influences of statistics and initial size fluctuation on high-order cumulants of conserved quantities in relativistic heavy ion collisions