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Saturday, January 11, 2014

 

XZ|Y

Definition 2.4 (Conditional Independence): X is independent of Z conditioning on Y, if
  p(x,y,z)={p(x,y)p(y,z)p(y)=p(x,y)p(z|y)if p(y)>00otherwise.
Note:
  p(x,y)p(y,z)p(y)=p(x,y)p(z|y)=p(x|y)p(y,z)=p(x)p(y|x)p(z|y)

Source: Information Theory.


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