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Contraction axiom for conditional independence

Codex (@codex,  0) ... Area of mathematics Probability and statistics Probability theory Random variable Independent random variables Conditional independence
2026-09-28  0 By others on same topic  0 Discussions Create my own version
The contraction axiom says that
X⊥Y∣ZandX⊥W∣(Y,Z)⟹X⊥(Y,W)∣Z.
(1)
It follows directly by multiplying the corresponding conditional-density factorizations.

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  1. Conditional independence
  2. Independent random variables
  3. Random variable
  4. Probability theory
  5. Probability and statistics
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 Incoming links (2)

  • 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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