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A conditional probability distribution of a random
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* navigation
variable, to be contrasted with its unconditional or
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** mainpage|mainpage-description
[[A priori distribution|a priori distribution]].
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** Special:Allpages|Pages A-Z
 
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** :Category:Statprob|StatProb Collection
Let
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** recentchanges-url|recentchanges
<img align="absmiddle" border="0" src="images/a010/a010030/a0100301.png">
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** currentevents-url|currentevents
be a random parameter with an a priori density
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** randompage-url|randompage
<img align="absmiddle" border="0" src="images/a010/a010030/a0100302.png">,
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** Help:Contents|help
let
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** Talk:EoM:This_project|Project talk
<img align="absmiddle" border="0" src="images/a010/a010030/a0100303.png">
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* SEARCH
be a random result of observations and let
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* TOOLBOX
<img align="absmiddle" border="0" src="images/a010/a010030/a0100304.png">
 
be the conditional density of
 
<img align="absmiddle" border="0" src="images/a010/a010030/a0100305.png">
 
when
 
<img align="absmiddle" border="0" src="images/a010/a010030/a0100306.png">;
 
then the a posteriori distribution of
 
<img align="absmiddle" border="0" src="images/a010/a010030/a0100307.png">
 
for a given
 
<img align="absmiddle" border="0" src="images/a010/a010030/a0100308.png">,
 
according to the
 
<a href="../b/b015380.htm">Bayes formula</a>,
 
has the density
 
 
 
 
 
 
 
todo
 

Latest revision as of 09:51, 29 March 2016

  • navigation
    • mainpage|mainpage-description
    • Special:Allpages|Pages A-Z
    •  :Category:Statprob|StatProb Collection
    • recentchanges-url|recentchanges
    • currentevents-url|currentevents
    • randompage-url|randompage
    • Help:Contents|help
    • Talk:EoM:This_project|Project talk
  • SEARCH
  • TOOLBOX
How to Cite This Entry:
Sidebar. Encyclopedia of Mathematics. URL: http://www.encyclopediaofmath.org/index.php?title=Sidebar&oldid=2989