Admissibility and inadmissibility of estimators in the one-parameter exponential family

摘要

Admissibility as well as inadmissibility results are given for the case of a one-parameter exponential family. .Especially, a sufficient condition for the admissibility of a rational estimator is derived; and inadmissible estimators for the canonical parameter of i he exponential family are improved if they have a certain relatively general structure, Finally, examples of improved estimators are given