抄録
In the statistical estimation theory, sufficient conditions for admissibility
of estimators have been discussed mostly under quadratic loss function. Recently,
under the LINEX loss function, sufficient conditions were developed in some families
of distributions. However, they do not include some typical non-regular distributions
so that the dimension of the minimal sufficient statistic is two. The purpose of this
paper is to give sufficient conditions for admissibility of estimators in such non-regular
distributions under the LINEX loss function. Some examples are also given.