Estimation of Lower Bounded Scale Parameter of Rescaled F-distributionunder Entropy Loss Function

We consider the problem of estimating the scale parameter β ofa rescaled F-distribution when β has a lower bounded constraint of the formβ a, under the entropy loss function. An admissible minimax estimator ofthe scale parameter β, which is the pointwise limit of a sequence of Bayesestimators, is given. Also in the class of truncated linear estimators, theadmissible estimators and the only minimax estimator of β are obtained.