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.
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