几何分布变异系数的贝叶斯估计

Bayesian Estimation of Geometric Distribution Variation Coefficient

在熵损失函数下,研究了几何分布变异系数的贝叶斯估计问题,得到了变异系数的贝叶斯估计的一般形式和精确形式,并证明了它的可容许性.同时给出了变异系数的多层贝叶斯估计以及置信水平为1-α的贝叶斯置信区间.

This paper studies the Bayesian estimation problem of geometricdistribution variation coefficient under entropy loss function,obtains thegeneral form and precise form of Bayesian estimation of variation coefficient,and proves its admissibility. Then the paper gives multilayer Bayesianestimation of variation coefficient and Bayesian confidence interval with confidence level1- α.