An Unbiased Estimator of Poisson Statistics

LIU Ye; GAO Yuan-Ning

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《中国物理C》（英文）编辑部

2024年10月30日

Chinese Physics C> 2007, Vol. 31> Issue(7) : 660-663

An Unbiased Estimator of Poisson Statistics

LIU Ye ,
GAO Yuan-Ning ^,

Department of Engineering Physics, Tsinghua University, Beijing 100084, China2 Department of Physics, Tsinghua University, Beijing 100084, China3 Center for High Energy Physics, Tsinghua University, Beijing 100084, China

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Abstract：
In the case that the mean value of Poisson distribution is a function of an unknown parameter to estimate, the commonly adopted maximum likelihood estimate of the parameter based on a single measurement is generally biased. With the aid of moment expressions, an unbiased estimator is proposed for the Poisson distribution.
References

[1] . Eadie W T et al. Statistical Methods in ExperimentalPhysics. Netherlands: North-Holland Publishing Company,1971

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[3]	TIAN Yi , KATABE Atsushi , LIU Hua-Feng , BAO Chao , YAMASHITA Takaji . Performance Evaluation of the HAMAMATSU SHR22000 Whole-Body PET Scanner Using the IEC Standard. Chinese Physics C, 2006, 30(11): 1123-1127.
[4]	JIANG Jun-Qin . Statistic Properties of the Excited Even and Odd q-Coherent States. Chinese Physics C, 2002, 26(4): 331-337.
[5]	Lu Zhongdao . Quantum Statistical Effect in Production of K and π Mesons. Chinese Physics C, 1998, 22(10): 910-914.
[6]	Xu Chunxian , Dai Hongyue . A Statistic Model for Galactic Cosmic Rays. Chinese Physics C, 1997, 21(6): 486-493.
[7]	Luo Shuanqun , Wang Zhengxing . Thomas-Fermi Statistical Model Theory for the Surface Energy of Hot Nuclei. Chinese Physics C, 1995, 19(3): 278-283.
[8]	Gao Song , Li Jiarong . The Statistical Effect of the Internal Lines Within the Reaction Process in QGP. Chinese Physics C, 1994, 18(3): 229-234.
[9]	Xie Yigang , Chai Yong . Poisson-Like Shape and Shoulder Structure of Hadron Multiplicity Distributions in e⁺e^－ Annihilation at Z⁰ Energy Region. Chinese Physics C, 1994, 18(9): 778-787.
[10]	HOU Yunzhi , GAO Lixin . SU(3)_f Predictions for Nonleptonic Decays of Charmless B-Flavoured Baryons. Chinese Physics C, 1993, 17(12): 1091-1101.
[11]	YOU Ke , ZHU Yu-Can , LV Jun-Guang , SUN Han-Sheng , TIAN Wei-Hua , ZHAO Wen-Heng , ZHENG Zhi-Peng , YE Ming-Han , QING Cheng-Rui , HE Zuo-Xiu , CUI Feng-Zhu , YU Chang-Jiang , . A Limit of Neutrinoless Double Beta Decay of ⁴⁸Ca. Chinese Physics C, 1991, 15(11): 966-972.
[12]	ZHUANG Peng-Fei , LIU Lian-Shou . Estimate of the Maximal Energy Density and Space-Time Region of the Quark Matter in High Energy Heavy Ion Collisions. Chinese Physics C, 1991, 15(6): 535-542.
[13]	FAN Qin-Min , Zhong Ming . THE NUMERICAL CALCULATION USED IN THICK TARGET PIXE ANALYSES. Chinese Physics C, 1988, 12(1): 6-11.
[14]	LI Zeng-Hai , MAO Nai-Feng , SUN Qin-Ren . SHAPING AND ADJUSTING THE FRINGING FIELD OF IRON-FREE COILS BY USE OF SEPARATED COILS. Chinese Physics C, 1986, 10(5): 620-628.
[15]	LU Wei-Da , LU Chang-Guo , ZHOU Yue-Hua , ZHANG Yu , GU Wei-Xin . STUDIES OF A PLANAR ELECTRODELESS DRIFT CHAMBER. Chinese Physics C, 1985, 9(2): 142-146.
[16]	HAN Ying , RUAN Tong-Ze . AN ESTIMATION OF PION YIELDS. Chinese Physics C, 1984, 8(3): 267-271.
[17]	WANG Ru-Lin . VLASOV EQUATION, GENERALIZED POISSON EQUATION AND DISPERSION RELATION. Chinese Physics C, 1984, 8(1): 115-117.
[18]	SU ZONG-DI , SHI XIANG-JUN , TANG XUE-TIAN , TIAN YE . THE WIDTH FLUCTUATION CORRECTION IN STATISTICAL THEORY OF NUCLEAR REACTIONS. Chinese Physics C, 1979, 3(1): 80-87.
[19]	XU GONG-OU . A STATISTICAL DESCRIPTION OF NUCLEAR REACTION PROCESSES. Chinese Physics C, 1979, 3(4): 459-468.
[20]	LI TI-PEI . CONFIDENCE DENSITY METHOD FOR PARAMETER ESTIMATION. Chinese Physics C, 1978, 2(2): 131-142.

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LIU Ye and GAO Yuan-Ning. An Unbiased Estimator of Poisson Statistics[J]. Chinese Physics C, 2007, 31(7): 660-663.

LIU Ye and GAO Yuan-Ning. An Unbiased Estimator of Poisson Statistics[J]. Chinese Physics C, 2007, 31(7): 660-663. shu

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Received: 2006-10-10
Revised: 2006-11-15

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沈阳化工大学材料科学与工程学院沈阳 110142

An Unbiased Estimator of Poisson Statistics

LIU Ye
GAO Yuan-Ning ^,

Corresponding author: GAO Yuan-Ning,

Department of Engineering Physics, Tsinghua University, Beijing 100084, China2 Department of Physics, Tsinghua University, Beijing 100084, China3 Center for High Energy Physics, Tsinghua University, Beijing 100084, China

Received Date: 2006-10-10
Accepted Date: 2006-11-15
Available Online: 2007-07-05

Abstract: In the case that the mean value of Poisson distribution is a function of an unknown parameter to estimate, the commonly adopted maximum likelihood estimate of the parameter based on a single measurement is generally biased. With the aid of moment expressions, an unbiased estimator is proposed for the Poisson distribution.