Table 6.
BN directed system graphs and RA equivalent example.
| BN General Graph | BN Specific Graph Example RA Notation |
BN Specific Graph Example Probability Distribution |
Equivalent RA Graph | Equivalent RA Graph Notation |
Equivalent RA Graph Probability Distribution |
|---|---|---|---|---|---|
| BN7 | BCZ:ABZA:B | p(C|BZ)p(Z|AB)p(B)p(A) | G7 (augmentation) | BCZ:ABZ | p(C|BZ)p(Z|AB)p(B|A)p(A) |
| BN11 | AZ:BZ:CZ | p(A|Z)p(B|Z)p(C|Z)p(Z) | G15 (augmentation) | AZ:BZ:CZ | p(A|Z)p(B|Z)p(C|Z)p(Z) |
| BN12 | ABCZA:B:C | p(Z|ABC)p(A)p(B)p(C) | G1 | ABCZ | p(Z|ABC)p(ABC) |
| BN13 | ACZA:C:BZ | p(Z|AC)p(B|Z)p(A)p(C) | G10 (augmentation) | ACZ:BZ | p(Z|AC)p(B|Z)p(C|A)p(A) |
| BN16 | BZ:CZ:A | p(B|Z)p(C|Z)p(Z)p(A) | G17 (augmentation) | BZ:CZ:A | p(B|Z)p(C|Z)p(Z)p(A) |
| BN17 | BCZB:C:A | p(Z|BC)p(B)p(C)p(A) | G7 | ABC:BCZ | p(Z|BC)p(B|CA)p(A|C)p(C) |
| BN19 | CZ:A:B | p(Z|C)p(C)p(A)p(B) | G10 | ABC:CZ | p(Z|C)p(ABC) |
| BN20 | A:B:C:Z | p(Z)p(A)p(B)p(C) | G13 | ABC:Z | p(Z)p(ABC) |