We can see conditional independence for D and Y given X means E [ D ∣ Y , X ] = E [ D ∣ X ] or E [ Y ∣ D , X ] = E [ Y ∣ X ] in the causal analysis. However, by Wiki the conditional independence is defined as E [ Y D ∣ X ] = E [ Y ∣ X ] E [ D ∣ X ] a . e .I cannot bridge these definitions. Is one of them stronger than the other one?Thanks a lot.

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We can see conditional independence for   D and   Y given   X means   E  [  D  ∣  Y  ,  X  ]  =  E  [  D  ∣  X  ] or   E  [  Y  ∣  D  ,  X  ]  =  E  [  Y  ∣  X  ] in the causal analysis. However, by Wiki the conditional independence is defined as   E  [  Y  D  ∣  X  ]  =  E  [  Y  ∣  X  ]  E  [  D  ∣  X  ]     a  .  e  .I cannot bridge these definitions. Is one of them stronger than the other one?Thanks a lot.

Alexzander Bowman · Accepted Answer

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We can see conditional independence for D and Y given X means E [ D ∣<!-

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