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

Abstract
HTML
Reference
Related

PDF

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

[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

[1]	Sheng-Qin Feng , Xin Ai , Lei Pei , Fei Sun , Yang Zhong , Zhong-Bao Yin . Estimation of the chiral magnetic effect considering the magnetic field response of the QGP medium. Chinese Physics C, 2018, 42(5): 054102. doi: 10.1088/1674-1137/42/5/054102
[2]	A. Vafaee , A. N. Khorramian . RETRACTED:Impact of charm H1-ZEUS combined data and determination of the strong coupling in two different schemes. Chinese Physics C, 2017, 41(11): 113104. doi: 10.1088/1674-1137/41/11/113104
[3]	Y. K. Hsiao , Chao-Qiang Geng . Branching fractions of B_(c) decays involving J/ψ and X(3872). Chinese Physics C, 2017, 41(1): 013101. doi: 10.1088/1674-1137/41/1/013101
[4]	null , , , , , , , , , , , , . An accelerator scenario for a hard X-ray free electron laser combined with high energy electron radiography. Chinese Physics C, 2016, 40(8): 088101. doi: 10.1088/1674-1137/40/8/088101
[5]	QIU Rui , ZHANG Hui , YANG Bo , James C , Sayed H , Michael B , LI Jun-Li . Dose estimation and shielding calculation for X-ray hazard at highintensity laser facilities. Chinese Physics C, 2014, 38(12): 129001. doi: 10.1088/1674-1137/38/12/129001
[6]	WANG Dou , Philip Bambade , Kaoru Yokoya , GAO Jie . Analytical estimation of ATF beam halo distribution. Chinese Physics C, 2014, 38(12): 127003. doi: 10.1088/1674-1137/38/12/127003
[7]	YANG Xiao-Yu , XU Tao-Guang , FU Shi-Nian , ZENG Lei , BIAN Xiao-Juan . Classical and modern power spectrum estimation for tune measurement in CSNS RCS. Chinese Physics C, 2013, 37(11): 117003. doi: 10.1088/1674-1137/37/11/117003
[8]	ZHANG Zhi-Qing , WANG Shi-Jian , ZHANG Li-Ying . Branching ratio and CP asymmetry of B_s→K₀^*(1430)η^(') decays in the PQCD approach. Chinese Physics C, 2013, 37(4): 043103. doi: 10.1088/1674-1137/37/4/043103
[9]	YUAN Chang-Zheng , MO Xiao-Hu , WANG Ping . Branching fraction of the isospin violating process φ → ωπ⁰. Chinese Physics C, 2011, 35(6): 543-544. doi: 10.1088/1674-1137/35/6/006
[10]	E. Tomasi-Gustafsson (on behalf of the PANDA collaboration) . Form factor measurements with PANDA at FAIR. Chinese Physics C, 2010, 34(6): 863-868. doi: 10.1088/1674-1137/34/6/041
[11]	SHEN Cheng-Ping , YUAN Chang-Zheng . Combined fit to BABAR and Belle Data on e⁺e^－→φπ⁺π^－ and φf₀(980). Chinese Physics C, 2010, 34(8): 1045-1051. doi: 10.1088/1674-1137/34/8/002
[12]	MEI Hua , CHEN Hong , YAO Jiang-Ming . Single-particle resonance states of ¹²²Zr in relativistic mean-field theory combined with real stabilization method. Chinese Physics C, 2009, 33(S1): 101-104. doi: 10.1088/1674-1137/33/S1/033
[13]	ZHU Meng-Hua , LIU Liang-Gang , YOU Zhong , XU Ao-Ao . Heuristic approach for peak regions estimation in gamma-ray spectra measured by a NaI detector. Chinese Physics C, 2009, 33(3): 205-209. doi: 10.1088/1674-1137/33/3/009
[14]	QU Xiao-Bo , CHEN Song-Zhan , ZHA Min , ZHANG Xue-Yao , FENG Cun-Feng . Estimation of the proton energy spectrum in knee region by analog read-out ofARGO-YBJ experiment. Chinese Physics C, 2008, 32(10): 807-811. doi: 10.1088/1674-1137/32/10/008
[15]	CHEN Jun-Xiao , HOU Zhao-Yu , LI Ying , . Branching ratio of rare decay B⁰(B_s)→γνν. Chinese Physics C, 2006, 30(4): 289-293.
[16]	Bai Jingzhi , Bian Jianguo , Chai Zhengwei , Chen Guangpei , Chen Hongfang , Chen Jiangchuan , Chen Shaomin , Chen Yaqing , Chen Yu , Chen Yuanbo , Cheng Baosen , Cui Xiangzong , Ding Huiliang , Du Zhizhen , Fan Xiaoling , Fang Jian , Gao Cuishan , Gao Meili , Gao Shuqi , Gu Jianhui , Gu Shudi , Gu Weixin , Gu Yifan , Guo Yanan , Han Shiwen , Han Ying , He Jingtang , He Ju , He Mao , Hu Guiyun , Hu Jingliang , Hu Qionghui , Hu Tao , Hu Xiaoqing , Huang Xiuping , Huang Yinzhi , Jiang Chunhua , Jin Shan , Jin Yan , Kang Shuhui , Ke Zunjian , Lai Yuanfen , Lan Huibin , Lang Pengfei , Li Jin , Li Peiqin , Li Qun , Li Rubai , Li Wei , Li Weidong , Li Weiguo , Li Xinhua , Li Xiaonan , Lin Shuzi , Liu Huaimin , Liu Jing , Liu Jinghua , Liu Qi , Liu Rongguang , Liu Yan , Liu Zhenan , Lü Feng , Lü Junguang , Lu Jianye , Luo Shuanqun , Luo Yong , Ma Aimin , MaEncheng , Ma Jimao , Mao Huishun , Mao Zepu , Meng Xiangcheng , Ni Hulling , Nie Jing , Qi Nading , Qu Yunhe , Qiu Jinfa , Que Youkun , Rong Gang , Shao Yuying , Shen Benwei , Shen Dingli , Shen Hong , Shen Xiaoyan , Sheng Huayi , Shi Huanzhang , Song Xiaofei , Sun Fang , Sun Hansheng , Sun Shijun , Tan Yiping , Tang Suqiu , Tian Jianling , Tong Guoliang , Wang Feng , Wang Jufang , Wang Linzhou , Wang Lingshu , Wang Man , Wang Meng , Wang Peiliang , Wang Ping , Wang Shaomin , Wang Taijie , Wang Yunyong , Wei Chenglin , Wu Yougeng , Xi Deming , Xia Xiaomi , Xie Peipei , Xiong Weijun , Xu Guofa , Xu Rongsheng , Xu Zhijing , Xue Shengtian , Yan Jie , Yan Wuguang , Yang Changyou , Yang Chunmin , Yang Jie , Yang Xiaofeng , Ye Minghan , Ye Shizhang , Ye Shuwei , Yi Kai , Yu Chuansong , Yu Chunxu , Yu Zhitang , Yu Zhongqiang , Yuan Changzheng , Zhang Bingyun , Zhang Changchun , Zhang Dahua , Zhang Dehong , Zhang Huiling , Zhang Jian , Zhang Jiawen , Zhang Lin , Zhang Liangsheng , Zhang Qinjian , Zhang Shaoqiang , Zhang Xueyao , Zhang Yu , Zhang Yueyuan , Zhao Dixin , Zhao Haiwen , Zhao Jingwei , Zhao Meng , Zhao Weiren , Zheng Jianping , Zheng Linsheng , Zheng Zhipeng , Zhou Guangpu , Zhou Huashi , Zhou Li , Zhou Yuehua , Zhu Guoyi , Zhu Qiming , Zhu Yongsheng , Zhu Yucan , Zhuang Baoan . Measurement of the Branching Ratios for J/ψ→γπ⁰, γη'→3γ on the BES. Chinese Physics C, 1997, 21(S2): 9-14.
[17]	Wang Shaoshun , Zhang Jie , Ye Yunxiu , Xiao Chenguo . Ratio of Factorial Cumulant to Factorial Moment Versus the Size of Phase Space. Chinese Physics C, 1996, 20(S4): 307-312.
[18]	Liu Bo , Jiang Huanqing . The K⁺/π⁺ Ratio in High-Energy Nucleus Collisions and the Effect of Secondary Collisions. Chinese Physics C, 1993, 17(S4): 403-409.
[19]	Wang Jiajun , Sun Hongzhou . Branching Rules for U(N)⊃SP(N)⊃O(3). Chinese Physics C, 1993, 17(S4): 395-402.
[20]	Yang Xianjim , Zhang Jingshang , Zhuo Yizhong . Multi-particle and Multi-hole State Densities Based on the Harmonic Oscillator Model. Chinese Physics C, 1989, 13(S4): 425-434.

Access

Get Citation

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

RIS(for EndNote,Reference Manager,ProCite)

BibTex

Txt

Milestone

Received: 2015-10-21
Revised: 1900-01-01

Article Metric

Article Views(1824)
PDF Downloads(71)
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

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.

HTML

Reference (1)

Combined estimation for multi-measurements of branching ratio

Abstract：

References

Access

Article Metrics

Metrics

通讯作者: 陈斌, bchen63@163.com

Email This Article