# Difference between revisions of "MediaWiki:Sidebar"

From Encyclopedia of Mathematics

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[[Bayes formula|Bayes formula]], | [[Bayes formula|Bayes formula]], | ||

has the density | has the density | ||

− | + | <html><table class="eq" style="width:100%;"> | |

+ | <tr><td valign="top" style="width:94%;text-align:center;"><img align="absmiddle" border="0" src="images/a010/a010030/a0100309.png"></td> | ||

+ | </tr></table></html> | ||

todo | todo |

## Revision as of 18:32, 16 June 2010

A conditional probability distribution of a random variable, to be contrasted with its unconditional or a priori distribution.

Let <html> be a random parameter with an a priori density , let be a random result of observations and let be the conditional density of when ; then the a posteriori distribution of for a given </html>, according to the Bayes formula, has the density

<html>

todo

**How to Cite This Entry:**

Sidebar.

*Encyclopedia of Mathematics.*URL: http://www.encyclopediaofmath.org/index.php?title=Sidebar&oldid=2997