View source for Bayesian decision function

A rule (function) <img align="absmiddle" border="0" src="https://www.encyclopediaofmath.org/legacyimages/b/b015/b015410/b0154101.png" /> which associates with each result <img align="absmiddle" border="0" src="https://www.encyclopediaofmath.org/legacyimages/b/b015/b015410/b0154102.png" /> of a statistical experiment a decision <img align="absmiddle" border="0" src="https://www.encyclopediaofmath.org/legacyimages/b/b015/b015410/b0154103.png" /> with values in a given set of decisions, and which attains the minimum expected loss as defined in the framework of the [[Bayesian approach|Bayesian approach]] to statistical problems.