不同损失函数下Poisson分布参数的E-Bayes估计及其E-MSE

韩明

E-Bayesian Estimation and Its E-MSE of Poisson Distribution Parameter Under Different Loss Functions

Ming Han

表 1 $\widehat \lambda_{EBi}$和E-MSE $(\widehat{\lambda}_{EBi})\ (i=1, 2, 3)$的计算结果($\lambda=0.5$)

$n$ 20 40 60 80 100 $\widehat\lambda_{EB1}$ 0.5074 0.5057 0.5049 0.5022 0.5015 $\widehat\lambda_{EB2}$ 0.4873 0.4932 0.4966 0.4960 0.4964 $\widehat\lambda_{EB3}$ 0.4636 0.4810 0.4884 0.4898 0.4915 E-MSE$(\widehat\lambda_{EB1})$ 0.0250 0.0125 0.0083 0.0062 0.0048 E-MSE$(\widehat\lambda_{EB2})$ 0.0256 0.0126 0.0084 0.0063 0.0050 E-MSE$(\widehat\lambda_{EB3})$ 0.0274 0.0131 0.0086 0.0064 0.0051