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.
be two decision rules, and let
( θ , δ )
be the risk of rule
is said to dominate the rule
, and the inequality is strict for some
[1] This defines a partial order on decision rules; the maximal elements with respect to this order are called admissible decision rules.
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