Consider the following DAG: L1 A₁ L2- A2- Y ased on whether Y conditionally independent of A1 given L1 or on whether conditionally independent of 1 given A2 and L2, please simplify the decomposition of the joint distribution of (L1, A1, L2, A2, Y) by emoving all unnecessary variables from the conditional part: Pr(L1) Pr(A1 | L1) Pr(L2 | L1, A1) Pr(A2 | L1, A1, L2) Pr(Y | L1, A1, L2, A2).

Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
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Consider the following DAG:
L₁
→A₁
L2
A2-
Y
Based on whether Y conditionally independent of A1 given L1 or on whether conditionally independent of
A1 given A2 and L2, please simplify the decomposition of the joint distribution of (L1, A1, L2, A2, Y) by
removing all unnecessary variables from the conditional part:
Pr(L₁) Pr(A₁ | L₁) Pr(L2 | L1, A₁) Pr(A2 | L1, A1, L2) Pr(Y | L1, A1, L2, A2).
Transcribed Image Text:Consider the following DAG: L₁ →A₁ L2 A2- Y Based on whether Y conditionally independent of A1 given L1 or on whether conditionally independent of A1 given A2 and L2, please simplify the decomposition of the joint distribution of (L1, A1, L2, A2, Y) by removing all unnecessary variables from the conditional part: Pr(L₁) Pr(A₁ | L₁) Pr(L2 | L1, A₁) Pr(A2 | L1, A1, L2) Pr(Y | L1, A1, L2, A2).
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