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Fluctuations of conserved quantities are predicted to be sensitive to thecorrelation length and connected to the thermodynamic susceptibility. Thus,moments of net-baryon, net-charge and net-strangeness have been extensivelystudied theoretically and experimentally to explore phase structure and bulkproperties of QCD matters created in heavy ion collision experiment. As themoments analysis is statistics hungry study, the error estimation is crucial toextract physics information from the limited experimental data. In this paper,we will derive the limit distributions and error formula based on Delta theoremin statistics for various order moments used in the experimental data analysis.The Monte Carlo simulation is also applied to test the error formula.

Error Estimation for Moments Analysis in Heavy-Ion Collision Experiments