Admissible and Minimax Estimators of a LowerBounded Scale Parameterof a Gamma Distribution under the EntropyLoss Function

This paper is concerned with admissible and minimax estimation of scale parameter ? of a gamma distribution under the entropy loss function, when it is known that ??? for some known ?>0. an admissible minimax estimator of ?, which is the pointwise limit of a sequence of bayes estimators, is derived. also, the admissible estimators and the only minimax estimator of ? in the class of truncated linear estimators are obtained. finally, the results are extended to a subclass of scale parameter exponential family and the family of transformed chi-square distributions