# Bayesian decision function

From Encyclopedia of Mathematics

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.

**How to Cite This Entry:**

Bayesian decision function.

*Encyclopedia of Mathematics.*URL: http://encyclopediaofmath.org/index.php?title=Bayesian_decision_function&oldid=29438

This article was adapted from an original article by A.N. Shiryaev (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article