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changeset 73:253c196ae0e3

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fix chain rule
author Markus Kaiser <markus.kaiser@in.tum.de>
date Fri, 18 Jan 2013 13:42:25 +0100
parents 11483d814594
children 1fd795da0053
files bayesian_networks/presentation.pdf bayesian_networks/presentation.tex
diffstat 2 files changed, 1 insertions(+), 1 deletions(-) [+]
line wrap: on
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Binary file bayesian_networks/presentation.pdf has changed
--- a/bayesian_networks/presentation.tex	Sun Jan 13 22:42:21 2013 +0100
+++ b/bayesian_networks/presentation.tex	Fri Jan 18 13:42:25 2013 +0100
@@ -169,7 +169,7 @@
         Für unabhängige Ereignisse $A_i$ gilt
 
         $$\Pr\left[\, \bigcap_{i=1}^n A_i \right] =
-        \prod_{i=1}^n \Pr \left[ A_i \left| \bigcup_{k=1}^{i-1} \right.\right]$$
+        \prod_{i=1}^n \Pr \left[ A_i \left| \bigcap_{k=1}^{i-1}A_k \right.\right]$$
     \end{theorem}
     Also zum Beispiel
     $$\Pr[A,B,C] = \Pr[A \mid B, C] \cdot \Pr[B \mid C] \cdot \Pr[B]$$