Statistical uncertainty estimation of higher-order cumulants with finite efficiency and its application in heavy-ion collisions
@article{Si2022StatisticalUE, title={Statistical uncertainty estimation of higher-order cumulants with finite efficiency and its application in heavy-ion collisions}, author={Fan Si and Yifei Zhang}, journal={Physical Review C}, year={2022} }
We derive the general analytical expressions for the statistical uncertainties of cumulants up to fourth order including an efficiency correction. The analytical expressions have been tested with a toy Monte Carlo model analysis. An application to the study of particle multiplicity fluctuations in heavy-ion collisions is investigated. In this derivation, a mathematical proof is given that the validity of an averaged efficiency correction and the fluctuations induced by the non-uniformity of…
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