In statistical decision theory, an admissible decision rule is a rule for making a decision such that there isn't any other rule that is always "better" than it.
Generally speaking, in most decision problems the set of admissible rules is large, even infinite, so this is not a sufficient criterion to pin down a single rule, but as will be seen there are some good reasons to favor admissible rules; compare Pareto efficiency.
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Famous quotes containing the words admissible, decision and/or rule:
“... if we believe that murder is wrong and not admissible in our society, then it has to be wrong for everyone, not just individuals but governments as well.”
—Helen Prejean (b. 1940)
“How could a man be satisfied with a decision between such alternatives and under such circumstances? No more than he can be satisfied with his hat, which he’s chosen from among such shapes as the resources of the age offer him, wearing it at best with a resignation which is chiefly supported by comparison.”
—George Eliot [Mary Ann (or Marian)
“They can rule the world while they can persuade us
our pain belongs in some order.
Is death by famine worse than death by suicide,
than a life of famine and suicide ... ?”
—Adrienne Rich (b. 1929)