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Poisson分布参数的几种估计 被引量:2

Several kind of estimates of Poisson distribution's parameter
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摘要 探讨了Poisson分布参数λ的3种估计:极大似然估计、矩估计以及Bayes估计,并对它们之间的联系和优劣性能进行了分析。 In this paper,three kind of estimates of Poisson distribution parameter including most likelihod estimate,moment estimate and Bayes estimate are explored;furthermore,their relations,advantages and disadvantages are compared.
作者 苏兵
出处 《临沂师范学院学报》 2003年第6期21-23,共3页 Journal of Linyi Teachers' College
关键词 Polsson分布 极大似然估计 矩估计 Rayes估计 Poisson distribution moment estimate most likelihood estimate Bayes estimate
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同被引文献10

  • 1韩明,丁元耀.失效率的综合E-Bayes估计[J].数学物理学报(A辑),2005,25(5):678-684. 被引量:10
  • 2韦莹莹,韦程东,薛婷婷.Q-对称熵损失函数下的Poisson分布参数倒数的估计[J].广西师范学院学报(自然科学版),2007,24(2):33-38. 被引量:10
  • 3Lindley D V, Smith A F M. Bayes estimaters for the linear model. Journal of the Royal Statistical Society (Series B), 1972, 34:1- 41.
  • 4Ando T, Zellner A. Hierarchical Bayesian analysis of the seemingly unrelated regression and simultaneous equations models using a combination of direct monte carlo and importance sampling techniques. Bayesian Analysis, 2010, 5(1): 65-96.
  • 5Andrieu C, Thorns J. A tutorial on adaptive MCMC. Statistics and Computing, 2008, 18(4): 343-373.
  • 6Berger J O. Statistical Decision Theory and Bayesian Analysis (Second edition). New York: Springer- Verlag, 1985.
  • 7Han M. E-Bayesian estimation of failure probability and its application. Mathematical and Computer Modelling, 2007, 45:1272-1279.
  • 8Han M. E-Bayesian estimation and hierarchical Bayesian estimation of failure rate. Applied Mathematical Modelling, 2009, 33:1915-1922.
  • 9韩明.只有一个失效数据情形失效概率的E-Bayes估计[J].数学物理学报(A辑),2011,31(2):577-583. 被引量:8
  • 10韩明.多层先验分布的构造及其应用[J].运筹与管理,1997,6(3):31-40. 被引量:78

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