Skip to main content

View full-text article in PMC

. 2021 Jul 30;23(8):986. doi: 10.3390/e23080986

Table 2.

Four-variable independence statements.

	Marginal Independence			Conditional Independence
General Expression	$(. ⊥ ..)$	$(. ⊥ .., \dots)$	$(. ⊥ .., \dots, \dots .)$	$(. ⊥ .. \| \dots)$	$(. ⊥ .. \| \dots, \dots .)$
Specific Expression 1	$(A ⊥ B)$	$(A ⊥ B, C)$	$(A ⊥ B, C, D)$	$(A ⊥ B \| C)$	$(A ⊥ B \| C, D)$
2	$(A ⊥ C)$	$(A ⊥ B, D)$	$(B ⊥ A, C, D)$	$(A ⊥ B \| D)$	$(A ⊥ C \| B, D)$
3	$(A ⊥ D)$	$(A ⊥ C, D)$	$(C ⊥ A, B, D)$	$(A ⊥ C \| D)$	$(A ⊥ D \| B, C)$
4	$(B ⊥ C)$	$(B ⊥ A, C)$	$(D ⊥ A, B, C)$	$(B ⊥ A \| C)$	$(B ⊥ A \| C, D)$
5	$(B ⊥ D)$	$(B ⊥ A, D$ )		$(B ⊥ A \| D)$	$(B ⊥ C \| A, D)$
6	$(C ⊥ D)$	$(B ⊥ C, D)$		$(B ⊥ C \| D)$	$(B ⊥ D \| A, C)$
7		$(C ⊥ A, B)$		$(C ⊥ A \| B)$	$(C ⊥ A \| B, D)$
8		$(C ⊥ A, D)$		$(C ⊥ A \| D)$	$(C ⊥ B \| A, D)$
9		$(C ⊥ B, D)$		$(C ⊥ B \| D)$	$(C ⊥ D \| A, B)$
10		$(D ⊥ A, B)$		$(D ⊥ A \| B)$	$(D ⊥ A \| B, C)$
11		$(D ⊥ A, C)$		$(D ⊥ A \| C)$	$(D ⊥ B \| A, C)$
12		$(D ⊥ B, C)$		$(D ⊥ B \| C)$	$(D ⊥ C \| A, B)$