Linex损失下二项分布参数的Bayes估计

The Bayesian Estimation of Binomial Distribution Parameter Reciprocal Under Linex Loss

在Linex损失函数下讨论了二项分布参数的Bayes估计,当先验分布取Beta分布和幂分布时分别给出了参数的Bayes估计,多层Bayes估计,E-Bayes估计的精确形式,并证明了Bayes估计的可容许性。

It discussed the Bayesian estimation of binomial distribution parameter under Linex loss function,given the precise form of Bayesian estimation,multi-layered Bayesian estimation and E-Bayesian estimation when prior distribution was taken to beta distribution and power distribution,finally,it proved the admissibility of Bayesian estimation.