For two estimators T1 = t1(X1, …, Xn) and T2 = t2(X1, …, Xn), what is t1 called if its risk satisfies Rt1(θ) ≤ Rt2(θ) for all θ in Θ?
Correct answer A. Admissible estimator
Explanation
In decision theory, an estimator whose risk is never exceeded by a competitor's is preferred; an admissible estimator is one that no other estimator dominates in risk.
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