Bayesian decision function
A rule (function) $\delta = \delta(x)$ which associates with each result $x$ of a statistical experiment a decision $\delta(x)$ with values in a given set of decisions, and which attains the minimum expected loss as defined in the framework of the Bayesian approach to statistical problems.
Bayesian decision function. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Bayesian_decision_function&oldid=29438