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    In a causally sufficient DAG, the error variables U_X and... — Carmelics
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    Supports→If a variable set is causally sufficient, then the error variables for any two variables in that set are causally unrelated.

    In a causally sufficient DAG, the error variables U_X and U_Y are not causes of each other and do not share a common cause.

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    If U_X and U_Y had a common cause, that common cause would also be a common caus...If U_X is a cause of U_Y, then U_X is a common cause of X and Y, violating causa...If a variable set is causally sufficient, then the error variables for any two v...

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    If a variable set is causally sufficient, then the error variables for...89%Causal sufficiency of the variable set implies that error variables U_...88%If a variable set is causally sufficient, then the error variables for...86%If U_X is a cause of U_Y, then U_X is a common cause of X and Y, viola...86%

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    It is usually assumed that if a variable set is causally sufficient, then the error variables will be probabilistically independent, and the probability distribution over \(\mathbf{V}\) will satisfy the Causal Markov Condition with respect to the true causal graph. Note that this assumption is very similar to the Common Cause Principle itself. If X and Y are variables included in a causally sufficient DAG, and \(U_X\) and \(U_Y\) are their corresponding error variables, then neither \(U_X\) nor

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