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

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