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Chinese Physics C> 2015, Vol. 39> Issue(10) : 103001 DOI: 10.1088/1674-1137/39/10/103001

Combined estimation for multi-measurements of branching ratio

  •  University of Chinese Academy of Sciences, Beijng 100049, China;2 Institute of High Energy Physics, Chinese Academy of Sciences, Beijing 100049, China;3 CAS Center for Excellence in Particle Physics, Beijing 100049, China

  • A maximum likelihood method is used to deal with the combined estimation of multi-measurements of a branching ratio, where each result can be presented as an upper limit. The joint likelihood function is constructed using observed spectra of all measurements and the combined estimate of the branching ratio is obtained by maximizing the joint likelihood function. The Bayesian credible interval or upper limit of the combined branching ratio, is given in cases both with and without inclusion of systematic error.
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    [1] BAI J Z et al. (BES collaboration). Phys. Rev. D, 2014, 70: 012006[2] Olive K A et al. (Particle Data Group). Chin. Phys. C, 2014, 38: 090001[3] ZHU Yong-Sheng. Experiment Data Analysis. Beijing: Academic Press, 2012[4] Feldman G, Cousins R. Phys, Rev. D, 1998, 57: 3873

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LIU Xiao-Xia, LÜ Xiao-Rui and ZHU Yong-Sheng. Combined estimation for multi-measurements of branching ratio[J]. Chinese Physics C, 2015, 39(10): 103001. doi: 10.1088/1674-1137/39/10/103001
LIU Xiao-Xia, LÜ Xiao-Rui and ZHU Yong-Sheng. Combined estimation for multi-measurements of branching ratio[J]. Chinese Physics C, 2015, 39(10): 103001.  doi: 10.1088/1674-1137/39/10/103001 shu
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Received: 2015-10-21
Revised: 1900-01-01
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Combined estimation for multi-measurements of branching ratio

    Corresponding author: ZHU Yong-Sheng,
  • University of Chinese Academy of Sciences, Beijng 100049, China;2 Institute of High Energy Physics, Chinese Academy of Sciences, Beijing 100049, China;3 CAS Center for Excellence in Particle Physics, Beijing 100049, China
  • Received Date: 2015-10-21
  • Accepted Date: 1900-01-01
  • Available Online: 2015-10-10

Abstract: A maximum likelihood method is used to deal with the combined estimation of multi-measurements of a branching ratio, where each result can be presented as an upper limit. The joint likelihood function is constructed using observed spectra of all measurements and the combined estimate of the branching ratio is obtained by maximizing the joint likelihood function. The Bayesian credible interval or upper limit of the combined branching ratio, is given in cases both with and without inclusion of systematic error.

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