部分先验信息Γ下分布族参数的Γ－容许估计

Γ-Admissible Estimator of the Parameter of Distribution under Partial Prior Information Γ

讨论了在某一族先验分布族Γ或者一定的先验矩限制Γ下分布参数的Γ－容许估计，给出了相应的充分条件，分别推广了文献［１］和［２］的结果，并给出了若干例子．

In this paper the Γ-admissibility of the unknown parameter of the distribution under the restriction Γ of prior moments or under the given prior distribution family Γ has been considered. A sufficient condition for the Γ-admissibility is obtained. This condition extends the results which have been stated in [1] and [2]. Some examples are also given.