摘要
在MLinex损失函数下,利用Bayes估计方法研究了Gamma分布的尺度参数的Bayes估计,并证明了其容许性.结果是:在Mlinex损失函数下得到了Gamma分布尺度参数唯一的Bayes估计的一般表达式及其精确表达式,并证明是可容许的.最后通过数值分析实例,说明了所用的参数估计方法是合理可行的.
The Bayesian Estimation of Gamma distribution scale parameter has been studied and its admissibility has been proved basing on the MLinex loss function. We obtain two results. First, we get the general expression and exact expression of the Gamma distribution scale parameter under the MLinex loss function, and prove it is admissible. Second, we prove that our method to estimate the parameter are reasonable and feasible.
出处
《纯粹数学与应用数学》
CSCD
2014年第4期347-353,共7页
Pure and Applied Mathematics
基金
广东省教育科研"十二五"规划2012年度研究项目(2012JK124)