Combined estimation for multi-measurements of branching ratio

LIU Xiao-Xia; L&Uuml; Xiao-Rui; ZHU Yong-Sheng

doi:10.1088/1674-1137/39/10/103001

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

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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.

References

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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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通讯作者: 陈斌, bchen63@163.com

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沈阳化工大学材料科学与工程学院沈阳 110142

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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Combined estimation for multi-measurements of branching ratio

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