2011/09/30 by Xiaofeng Luo · 82 citations
Physics and Astronomy · #Central limit theorem #Collision #High-Energy Particle Collisions Research #L-moment #Limit (mathematics) #Measure (data warehouse) #Moment (physics) #Monte Carlo method #Phase (matter) #Scientific Research and Discoveries #Statistical Mechanics and Entropy #Thermodynamic limit #hep-lat #nucl-ex #nucl-th #physics.data-an
paper · pdf · doi:10.1088/0954-3899/39/2/025008
published in Journal of Physics G Nuclear and Particle Physics 39(2), 025008 (IOP Publishing) · 14 pages, 10 figures
openalex publication_date 2012/01/12 · openalex created_date 2016/06/24 · arxiv created 2016/11/02 · arxiv updated 2016/11/03 · openalex updated_date 2026/08/05
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. The Monte Carlo simulation is also applied to test the error formula.