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Estimation of scale parameter under the entropy loss function is considered with restrictions to the principles of invariance and risk unbiasedness. An explicit form of minimum risk scale-equivariant estimator under entropy loss is obtained. The admissibility and inadmissibility of a class of linear estimators of the form cT + d, where T Γ(ν, η), which includes the admissibility of the MRE estimator...
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