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I want to know if two independence assumptions, as illustrated below, would go together or not.

Consider I have 4 variables, A,B,C,D. Can the following two independence assumptions co-exist?

$A \perp B | C,D$ and $(A,C) \perp D$ ?

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  • $\begingroup$ In term of pdf (probability density function) what do that two things mean? $\endgroup$ – user158565 Oct 20 '18 at 20:27
  • $\begingroup$ how about a <- c -> b <- d $\endgroup$ – user20650 Oct 20 '18 at 23:30

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