High cumulants of conserved charges and their statistical uncertainties

Chen Li-Zhu; Zhao Ye-Yin; Pan Xue; Li Zhi-Ming; Wu Yuan-Fang

doi:10.1088/1674-1137/41/10/104103

Chinese Physics C> 2017, Vol. 41> Issue(10) : 104103 DOI: 10.1088/1674-1137/41/10/104103

High cumulants of conserved charges and their statistical uncertainties

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

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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.
- High cumulants ,
- statistical uncertainty ,
- statistics ,
- QCD phase transition

References

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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

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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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通讯作者: 陈斌, bchen63@163.com

1.
沈阳化工大学材料科学与工程学院沈阳 110142

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

Received Date: 2017-04-17

Accepted Date: 2017-06-29

Available Online: 2017-10-05

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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High cumulants of conserved charges and their statistical uncertainties

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