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

Latest revision as of 17:59, 28 February 2021

  • 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
    • Special:RequestAccount|Request account
  • SEARCH
  • TOOLBOX
How to Cite This Entry:
Sidebar. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Sidebar&oldid=2995
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