Impact factor of Chinese Physics C is 3.6 in 2023 Impact factor of Chinese Physics C is 3.6 in 2022 2021 Impact Factor 2.944
Advanced Search
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

  • 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.
      PCAS:
  • 加载中

  • References

    [1] J. Adams et al (STAR Collaboration), Nucl. Phys. A,757:102(2005)
    [2] M. A. Stephanov, Phys. Rev. Lett., 102:032301(2009); Phys. Rev. Lett., 107:052301(2011)
    [3] Z. Fodor and S. D. Katz, J. High Energy Phys., 04:050(2004)
    [4] S. Ejiri, Phys. Rev. D, 78:074507(2008)
    [5] M. Cheng et al, Phys. Rev. D, 79:074505(2009)
    [6] F. Karsch, K. Redlich, Phys. Lett. B, 695:136(2011)
    [7] S. Gupta et al, Science, 332:1525(2011)
    [8] R. V. Gavai and S. Gupta, Phys. Lett. B, 696:459(2011)
    [9] A. Bazavov et al, Phys. Rev. Lett., 109:192302(2012)
    [10] A. Bazavov et al, Phys. Rev. D, 93:014512 2016.
    [11] S. Bors nyi et al, Phys. Rev. Lett., 111:062005(2013)
    [12] S. Bors nyi et al, Phys. Rev. Lett., 113:052301(2014)
    [13] L. Adamczyk et al (STAR Collaboration), Phys. Rev. Lett., 112:032302(2014)
    [14] X. Luo (For the STAR Collaboration), PoS CPOD, 2014:019(2015)[arXiv:1503.02558[nucl-ex]]
    [15] L. Adamczyk et al (STAR Collaboration), Phys. Rev. Lett., 113:092301(2014)
    [16] A. Adare et al (PHENIX Collaboration), Phys. Rev. C, 93:011901(R) (2016)
    [17] X. Luo, J. Phys. G, 39:025008(2012)
    [18] X. Luo et al, J. Phys. G, 40:105104(2013)
    [19] B. Efron and R. J. Tibshirani, An Introduction to the Bootstrap:Monographs on Statistics and Applied Probability 57 (London:Chapman and Hall, CRC, 1994)
    [20] X. Luo (For the STAR Collaboration), J. Phys. Conf. Ser., 316 012003(2011)
    [21] L. Chen, Z. Li, and Y. Wu, J. Phys. G, 41:105107(2014)
    [22] L. Chen et al, Nucl. Phys. A, 957:61, (2017)
    [23] A. Bzdak and V. Koch. Phys. Rev. C, 86:044904(2012)
    [24] A. Bzdak and V. Koch. Phys. Rev. C, 91:027901(2015)
    [25] X. Luo. Phys. Rev. C, 91:034907(2015)
    [26] Toshihiro Nonaka et al, arXiv:1702.07106[nucl-th]
    [27] Bhanu Sharma (For the STAR Collaboration), arXiv:1512.00145[nucl-ex]
    [28] L. Adamczyk et al (STAR Collaboration), Phys. Rev. C, 92:21901(2015)
    [29] Skellam J G, Journal of the Royal Statistical Society, 109:296(1946)
    [30] P. Braun-Munzinger et al, Phys. Rev. C, 84:064911(2011)
    [31] X. Pan et al, Phys. Rev. C, 89:014904(2014)
    [32] Luo X (For the STAR Collaboration), J. Phys.:Conf. Ser., 316 012003(2011)
    [33] Le Cam, Lucien, Maximum likelihood-an introduction, ISI Review, 58(2):153171(1990)
    [34] L. Chen et al, J. Phys. G, 42:065103(2015)

  • Access

    加载中

Get Citation
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
Milestone
Received: 2017-04-17
Revised: 2017-06-29
Fund

    Supported by NSFC (11405088, 11521064, 11647093), Major State Basic Research Development Program of China (2014CB845402) and Ministry of Science and Technology (MoST) (2016YFE0104800)

Article Metric

Article Views(3083)
PDF Downloads(63)
Cited by(0)
Policy on re-use
To reuse of subscription content published by CPC, the users need to request permission from CPC, unless the content was published under an Open Access license which automatically permits that type of reuse.
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

  1. 本站搜索
  2. 百度学术搜索
  3. 万方数据库搜索
  4. CNKI搜索

Email This Article

Title:
Email:

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.

    HTML

Reference (34)

目录

Link
IOPScience
SCOAP3
arXiv
Chinese Physical Society
Journal information
Introduction
Editorial Board
Others
Subscribe
Contact us
QQ: 1307685413
Tel: +86-010-88235947
Fax: +86-010-88233126
E-mail: cpc@ihep.ac.cn

  • CPC Website

  • IOP Website

  • CPC WeChat

Copyright © Institute of High Energy Physics, Chinese Academy of Sciences, 19B Yuquan Road, Beijing 100049, China 京ICP备05002789号-1

Supported by: Beijing Renhe Information Technology Co. Ltd  E-mail: info@rhhz.net

/

DownLoad:  Full-Size Img  PowerPoint
Return
Return