首先研究正态分布位置参数在Linex损失函数L(μ,δ)=e^a(μ-δ)-a(μ-δ)-1下的最小风险同变估计及其Bayes估计.并给出在该损失函数下位置参数最小风险平移同变估计的精确表达式和Bayes估计的可容许性证明,最后讨论形如cT(x)+d的可容许性.
The present paper first deals with the minimum risk equivalent estimator and Bayes estimator for the locate parameter of normal distribution under the Linex loss function, then it gives the exact expression of the equivalent estimator and the admissibility proof of the Bayes estimator, at the end of the paper is the discussion of the admissibility of estimator with the form of cT(x)+d.