An Unbiased Estimator of Poisson Statistics

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

    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

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.

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