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Error Estimation for Moments Analysis in Heavy-Ion Collision Experiments · Around

2011

Error Estimation for Moments Analysis in Heavy-Ion Collision Experiments

Luo, Xiaofeng

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Fluctuations of conserved quantities are predicted to be sensitive to the correlation length and connected to the thermodynamic susceptibility.

Thus, moments of net-baryon, net-charge and net-strangeness have been extensively studied theoretically and experimentally to explore phase structure and bulk properties of QCD matters created in heavy ion collision experiment.
As the moments analysis is statistics hungry study, the error estimation is crucial to extract physics information from the limited experimental data.
In this paper, we will derive the limit distributions and error formula based on Delta theorem in statistics for various order moments used in the experimental data analysis.

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Anirban DasGupta, Asymptotic theory of statistics and probability (Springer 2008), ISBN 0387759700, 9780387759708
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