We consider equivariant estimation of location/scale parameters of a general bivariate distribution, under quite general conditions on underlying distributions and the loss function, when it is known apriori that these parameters satisfy a order restriction. This paper unifies various results in the literature on the inadmissibility of location/scale equivariant estimators and finding their improvements. The usefulness of these unified results and their relation to existing results in the literature are illustrated through various examples.
翻译:我们认为,在基本分布和损失功能的相当一般条件下,如果人们知道这些参数符合命令限制,则在一般双轨分布的位置/尺度参数上进行等同估计,本文件将文献中关于不容许位置/尺度等同估计和寻找改进结果的各种结果统一起来,这些统一结果的效用及其与文献中现有结果的关系通过各种实例加以说明。