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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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.