High cumulants of conserved charges and their statistical uncertainties

  • We study the influence of measured high cumulants of conserved charges on their associated statistical uncertainties in relativistic heavy-ion collisions. With a given number of events, the measured cumulants randomly fluctuate with an approximately normal distribution, while the estimated statistical uncertainties are found to be correlated with corresponding values of the obtained cumulants. Generally, with a given number of events, the larger the cumulants we measure, the larger the statistical uncertainties that are estimated. The error-weighted averaged cumulants are dependent on statistics. Despite this effect, however, it is found that the three sigma rule of thumb is still applicable when the statistics are above one million.
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Chen Li-Zhu, Zhao Ye-Yin, Pan Xue, Li Zhi-Ming and Wu Yuan-Fang. High cumulants of conserved charges and their statistical uncertainties[J]. Chinese Physics C, 2017, 41(10): 104103. doi: 10.1088/1674-1137/41/10/104103
Chen Li-Zhu, Zhao Ye-Yin, Pan Xue, Li Zhi-Ming and Wu Yuan-Fang. High cumulants of conserved charges and their statistical uncertainties[J]. Chinese Physics C, 2017, 41(10): 104103.  doi: 10.1088/1674-1137/41/10/104103 shu
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Received: 2017-04-17
Revised: 2017-06-29
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    Supported by NSFC (11405088, 11521064, 11647093), Major State Basic Research Development Program of China (2014CB845402) and Ministry of Science and Technology (MoST) (2016YFE0104800)

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High cumulants of conserved charges and their statistical uncertainties

    Corresponding author: Chen Li-Zhu,
  • 1.  School of Physics and Optoelectronic Engineering, Nanjing University of Information Science and Technology, Nanjing 210044, China
  • 2.  Key Laboratory of Quark and Lepton Physics(MOE) and Institute of Particle Physics, Central China Normal University, Wuhan 430079, China
  • 3.  School of Electronic Engineering, Chengdu Technological University, Chengdu 611730, China
Fund Project:  Supported by NSFC (11405088, 11521064, 11647093), Major State Basic Research Development Program of China (2014CB845402) and Ministry of Science and Technology (MoST) (2016YFE0104800)

Abstract: We study the influence of measured high cumulants of conserved charges on their associated statistical uncertainties in relativistic heavy-ion collisions. With a given number of events, the measured cumulants randomly fluctuate with an approximately normal distribution, while the estimated statistical uncertainties are found to be correlated with corresponding values of the obtained cumulants. Generally, with a given number of events, the larger the cumulants we measure, the larger the statistical uncertainties that are estimated. The error-weighted averaged cumulants are dependent on statistics. Despite this effect, however, it is found that the three sigma rule of thumb is still applicable when the statistics are above one million.

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