参数有限制条件下最优同变点预测量的改进

Improvement of the bestequivariant point predictors under the ordered parameters

考虑了在位置分布族与尺度分布族中,当未知的分布参数含有限制条件下,对参数无限制下给出的未知随机变量的最优同变点预测量进行改进。在一定条件下,利用IERD方法构造一族改进后的点预测量。

This paper considers the improvement of the best equivarlant point predictors of unknown random variable under ordered unknown distribution parameters in the location family and scale family. A class of improved point predictors are constructed by using the method of integrated expression of risk difference （IERD） under some conditions.