An Unbiased Estimator of Poisson Statistics

LIU Ye; GAO Yuan-Ning

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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

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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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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.