Dominating decision rule
In decision theory, a decision rule is said to dominate another if the performance of the former is sometimes better, and never worse, than that of the latter. Formally, let formula_1 and formula_2 be two decision rules, and let formula_3 be the risk of rule formula_4 for parameter formula_5. The decision rule formula_1 is said to dominate the rule formula_2 if formula_8 for all formula_5, and the inequality is strict for some formula_5. This defines a partial order on decision rules; the maximal elements with respect to this order are called "admissible decision rules." Dominating decision rule