Conditional random field: Difference between revisions

Latest revision as of 10:01, 15 December 2014

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-{{Noref|date=July 2010}}
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-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 <math>\delta_1</math> and <math>\delta_2</math> be two [[decision theory|decision rules]], and let <math>R(\theta, \delta)</math> be the [[risk function|risk]] of rule <math>\delta</math> for parameter <math>\theta</math>. The decision rule <math>\delta_1</math> is said to dominate the rule <math>\delta_2</math> if <math>R(\theta,\delta_1)\le R(\theta,\delta_2)</math> for all <math>\theta</math>, and the inequality is strict for some <math>\theta</math>.
-This defines a [[partial order]] on decision rules; the [[maximal element]]s with respect to this order are called ''[[admissible decision rule]]s.''
-== See also ==
-* [[Admissible decision rule]]
-{{statistics-stub}}
-[[Category:Decision theory]]

Conditional random field: Difference between revisions

Latest revision as of 10:01, 15 December 2014

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