Bayesian credible interval construction for Poisson statistics

ZHU Yong-Sheng

doi:10.1088/1674-1137/32/5/007

近期发现有不法分子冒充我刊与作者联系，借此进行欺诈等不法行为，请广大作者加以鉴别，如遇诈骗行为，请第一时间与我刊编辑部联系确认（《中国物理C》（英文）编辑部电话：010-88235947,010-88236950），并作报警处理。

本刊再次郑重声明：

（1）本刊官方网址为cpc.ihep.ac.cn和https://iopscience.iop.org/journal/1674-1137

（2）本刊采编系统作者中心是投稿的唯一路径，该系统为ScholarOne远程稿件采编系统，仅在本刊投稿网网址（https://mc03.manuscriptcentral.com/cpc）设有登录入口。本刊不接受其他方式的投稿，如打印稿投稿、E-mail信箱投稿等，若以此种方式接收投稿均为假冒。

（3）所有投稿均需经过严格的同行评议、编辑加工后方可发表，本刊不存在所谓的“编辑部内部征稿”。如果有人以“编辑部内部人员”名义帮助作者发稿，并收取发表费用，均为假冒。

《中国物理C》（英文）编辑部

2024年10月30日

Chinese Physics C> 2008, Vol. 32> Issue(5) : 363-369 DOI: 10.1088/1674-1137/32/5/007

Bayesian credible interval construction for Poisson statistics

ZHU Yong-Sheng ^,

Institute of High Energy Physics, CAS, Beijing 100049, China

Abstract
HTML
Reference
Related

PDF

Abstract：
The construction of the Bayesian credible (confidence) interval for a Poisson observable including both the signal and background with and without systematic uncertainties is presented. Introducing the conditional probability satisfying the requirement of the background not larger than the observed events to construct the Bayesian credible interval is also discussed. A Fortran routine, BPOCI, has been developed to implement the calculation.

[1]	Xue Pan , Yu-Fu Lin , Li-Zhu Chen , Ming-Mei Xu , Yuan-Fang Wu . Poisson baseline of net-charge fluctuations in relativisticheavy ion collisions. Chinese Physics C, 2018, 42(7): 074104. doi: 10.1088/1674-1137/42/7/074104
[2]	Abdel Nasser Tawfik , Hayam Yassin , Eman R , Abo Elyazeed . On thermodynamic self-consistency of generic axiomatic-nonextensive statistics. Chinese Physics C, 2017, 41(5): 053107. doi: 10.1088/1674-1137/41/5/053107
[3]	Jing-Hui Pan , Chang-Li Ma , Xue-Yu Gong , Zhi-Jia Sun , Yan-Feng Wang , Chen-Yan Yin , Lei Gong . Development of a portable and fast wire tension measurement system for MWPC construction. Chinese Physics C, 2016, 40(9): 096201. doi: 10.1088/1674-1137/40/9/096201
[4]	Yong-ji Xie , Zhong-hua Qin , Xiao-yan Ma , Jian Zhang , Ling-hui Wu , Wan Xie , Ming-yi Dong , Jing Dong , Xiao-lu Ji , Xiao-shan Jiang , Qun Ou-yang , Ke-jun Zhu , Yuan-bo Chen . Construction and cosmic-ray test of the new inner drift chamber for BESIII. Chinese Physics C, 2016, 40(9): 096003. doi: 10.1088/1674-1137/40/9/096003
[5]	JIA Huan , HE Yuan , YUAN You-Jin , SONG Ming-Tao , HUANG Shi-Chun , ZHANG Xiang , YUAN Chen-Zhang , NIU Hai-Hua , ZHANG Peng , WU Jun-Xia , ZHANG Yong , KANG Xin-Cai , LUO Chen . Design and construction of the MEBT1 for CADS injector scheme II. Chinese Physics C, 2015, 39(10): 107003. doi: 10.1088/1674-1137/39/10/107003
[6]	YANG Liu , ZHU Kai , ZHU Yong-Sheng , CAI Hao . Combining upper limits with a Bayesian approach. Chinese Physics C, 2015, 39(12): 123001. doi: 10.1088/1674-1137/39/12/123001
[7]	TIAN Jian-Min , XU Mei-Hang , ZHAO Zhong-Liang , CHEN Chang , RUAN Xiang-Dong , CHEN Yuan-Bo , XU Tao-Guang , LU Shuang-Tong . Improved design and construction of an ionization chamber for the CSNS beam loss monitor (BLM). Chinese Physics C, 2012, 36(4): 329-333. doi: 10.1088/1674-1137/36/4/006
[8]	ZHANG Tian-Jue , GUAN Xia-Ling , CUI Bao-Qun . Design and construction progress of BRIF. Chinese Physics C, 2010, 34(1): 103-111. doi: 10.1088/1674-1137/34/1/019
[9]	CHEN Fang-Qi , SUN Yang , ZHOU Xian-Rong . Level statistics for the even-even Yb isotopes. Chinese Physics C, 2009, 33(S1): 24-26. doi: 10.1088/1674-1137/33/S1/008
[10]	ZHANG Chuang . BEPCⅡ: construction and commissioning. Chinese Physics C, 2009, 33(S2): 60-64. doi: 10.1088/1674-1137/33/S2/016
[11]	XU Ye , HOU Jian , ZHU Kai-En . Applying Bayesian neural networks to identify pion, kaon and proton in BESⅡ. Chinese Physics C, 2008, 32(3): 201-204. doi: 10.1088/1674-1137/32/3/008
[12]	ZHU Yong-Sheng . Implementation of upper limit calculation for a Poisson variable by Bayesian approach. Chinese Physics C, 2008, 32(2): 126-129. doi: 10.1088/1674-1137/32/2/010
[13]	LIU Ye , GAO Yuan-Ning . An Unbiased Estimator of Poisson Statistics. Chinese Physics C, 2007, 31(7): 660-663.
[14]	Zeng Jinyan , Lei Yian , Wu Wenqing . Construction of Paired States in Axially Symmetric Nuclei. Chinese Physics C, 1995, 19(S4): 405-411.
[15]	Xie Yigang , Cai Yong . Poisson-Like Shape and Shoulder Structure of Hadron Multiplicity Distributions in e⁺e^- Annihilation at Z⁰ Energy. Chinese Physics C, 1994, 18(S3): 223-234.
[16]	Wang Yanshen , Hou Boyu . The Poisson-Lie Structure of O(n) Non-Linear Sigma Model in Moving Frames. Chinese Physics C, 1994, 18(10): 892-901.
[17]	Wang Yanshen , Hou Boyu . Poisson-Lie Structure of 0(n) Non-Linear Sigma Model in Moving Frames. Chinese Physics C, 1994, 18(S4): 345-355.
[18]	Li Jin , Wang Man , Cui Xiangzong , Wang Linzhou , Xia Xiaomi , Lai Yuanfen , Li Lili , Wang Zhongji , Zheng Jianping , Yao Xiaoguang , Lu Weida . Construction and Inspection of End-Cap Shower Counters for Beijing Spectrometer. Chinese Physics C, 1991, 15(S2): 101-107.
[19]	Zhou Yuehua , Lu Changguo , Gu Weixin , Lu Weida , Que Youkun , Li Peiqin , Hao Wei , Zhou Li , Zhu Guosheng , Zheng Xiaoming , Chen Wenjun . Design and Construction of the Barrel Shower Counter in the Beijing Spectrometer. Chinese Physics C, 1990, 14(S2): 105-113.
[20]	Ma Jimao , Mao Huishun , Bai Jingzhi , Xie Peipei , Yan Jie , Wang Yaohui , Mao Zepu , Liu Rongguang , Shen Benwei , Song Xiaofei , Zhou Jie , Wu Zhendong , Fan Qun , Jin Yan , Rong Gang . The Design and Construction of the BES Main Drift Chamber. Chinese Physics C, 1990, 14(S4): 325-337.

Access

Get Citation

ZHU Yong-Sheng. Bayesian credible interval construction for Poisson statistics[J]. Chinese Physics C, 2008, 32(5): 363-369. doi: 10.1088/1674-1137/32/5/007

ZHU Yong-Sheng. Bayesian credible interval construction for Poisson statistics[J]. Chinese Physics C, 2008, 32(5): 363-369. doi: 10.1088/1674-1137/32/5/007 shu

RIS(for EndNote,Reference Manager,ProCite)

BibTex

Txt

Milestone

Received: 2007-08-13
Revised: 2007-09-21

Article Metric

Article Views(3011)
PDF Downloads(589)
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

Bayesian credible interval construction for Poisson statistics

ZHU Yong-Sheng ^,

Corresponding author: ZHU Yong-Sheng,

Institute of High Energy Physics, CAS, Beijing 100049, China

Received Date: 2007-08-13
Accepted Date: 2007-09-21
Available Online: 2008-05-05

Abstract:

The construction of the Bayesian credible (confidence) interval for a Poisson observable including both the signal and background with and without systematic uncertainties is presented. Introducing the conditional probability satisfying the requirement of the background not larger than the observed events to construct the Bayesian credible interval is also discussed. A Fortran routine, BPOCI, has been developed to implement the calculation.