Acta mathematica scientia,Series A ›› 2016, Vol. 36 ›› Issue (5): 1010-1016.

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The E-Bayesian Estimation of the Parameter for Poisson Distribution and Its Properties

Han Ming   

  1. School of Science, Ningbo University of Technology, Zhejiang Ningbo 315211
  • Received:2015-11-22 Revised:2016-07-24 Online:2016-10-26 Published:2016-10-26
  • Supported by:

    Supported by the Natural Science Foundation of Ningbo Municipality (2013A610108)

Abstract:

In this paper, the definition of E-Bayesian estimation of the parameter is provided. Moreover, for Poisson distribution, based on the square error loss function, formulas of E-Bayesian estimation and hierarchical Bayesian estimation for the parameter are provided, and the properties of E-Bayesian estimation are also discussed. Finally, combined with the practical problem are calculated, the results show that the proposed method is feasible and convenient for application.

Key words: Poisson distribution, E-Bayesian estimation, Hierarchical Bayesian estimation

CLC Number: 

  • O213.2
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