数学物理学报 ›› 2016, Vol. 36 ›› Issue (5): 1010-1016.

• 论文 • 上一篇    

Poisson分布参数的E-Bayes估计及其性质

韩明   

  1. 宁波工程学院 理学院 浙江宁波 315211
  • 收稿日期:2015-11-22 修回日期:2016-07-24 出版日期:2016-10-26 发布日期:2016-10-26
  • 作者简介:韩明,E-mail:hanming618@21cn.com
  • 基金资助:

    宁波市自然科学基金(2013A610108)资助

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)

摘要:

给出了参数的E-Bayes估计的定义.对Poisson分布,在平方损失下给出了参数的E-Bayes估计和多层Bayes估计,并在此基础上给出了E-Bayes估计的性质.最后,结合实际问题进行了计算,结果表明所提出的方法可行且便于应用.

关键词: Poisson分布, E-Bayes估计, 多层Bayes估计

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

中图分类号: 

  • O213.2