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Contraction axiom for conditional independence
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Area of mathematics
Probability and statistics
Probability theory
Random variable
Independent random variables
Conditional independence
2026-09-28
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The contraction
axiom
says that
X
⊥
Y
∣
Z
and
X
⊥
W
∣
(
Y
,
Z
)
⟹
X
⊥
(
Y
,
W
)
∣
Z
.
(1)
It follows
directly by multiplying the corresponding conditional-
density
factorizations
.
Ancestors
(8)
Conditional independence
Independent random variables
Random variable
Probability theory
Probability and statistics
Area of mathematics
Mathematics
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Past exam of the mathematics course of the University of Cambridge
/
2023
/
iii
/
Paper 221
/
3
/
iii
/
Solution
Past exam of the mathematics course of the University of Cambridge
/
2023
/
iii
/
Paper 221
/
3
/
iv
/
Solution
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