(a) Explain what the gold standard for the optimality of estimators amounts to in terms of a combination of properties; give examples if it helps.

(b) Explain why the property of admissibility is unduly dependent on the quantifier

∀θ∈, which is at odds with the frequentist definition of the MSE in (11.21).

(c) Explain why using admissibility as a minimal property for frequentist estimators makes no sense. Explain why consistency can be the relevant minimal property.