一种加权对称损失函数下Rayleigh分布尺度参数倒数的Bayes估计

The Bayes Estimation of Scale Paremeter Reciprocal Form Rayleigh Distribution Under a Weighted Symmetric Loss Function

首先给出了在加权对称损失函数下Rayleigh分布尺度参数的Bayes估计的一般形式.然后在给出先验分布的条件下,给出了Bayes估计的精确形式.最后证明了此Bayes估计的可容许性.

First, the general form of Bayes estimation of scale paremeter reciprocal form Rayleigh distribution under a weighted symmetric loss function is considered. Then , the exact form of estimation is given under the conditions of giving prior distribu- tion. Last, it is proved that the Bayes estimation is admissible.