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Conditional independence

In probability theory, conditional independence describes situations in which an observation is irrelevant or redundant when evaluating the certainty of a hypothesis. It is the opposite of conditional dependence. Conditional independence is usually formulated in terms of conditional probability, as a special case where the probability of the hypothesis…

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Conditional independence of random variables

Random variablesConditional probability distributionCumulative distribution functionΣ-algebraConditional expectation
7 related topics

Uses in Bayesian inference

ReferendumOpinion pollFrequentistStatistical inferenceIndependent
7 related topics

Conditional independence of events

EventsSymmetricBelowJoint probabilityIndependent events
5 related topics

Rules of conditional independence

Law of total probabilityProbability space
2 related topics

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Overview

Conditional independence of events

Conditional independence of random variables

Conditional independence of random vectors

Uses in Bayesian inference

Rules of conditional independence

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Conditional independence

Nodes33
Edges32
Triples16
Avg. degree1.94
Density0.060606
Components1

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Conditional independence

Top relations

related to Rules of conditional independence · 5
Conditional independence → All, Graphoid Axioms, Paz, Pearl, These
related to External links · 4
Conditional independence → Conditional, Media, Wikimedia Commons, Wiktionary-logo-en-v2
related to Conditional independence of events · 3
Conditional independence → Equivalently, Let, This
related to Decomposition · 2
Conditional independence → Proof From, The
related to Symmetry · 2
Conditional independence → From, Proof

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Important terminology

displaystyle independent conditional given probability mid perp events independence conditionally two proof random variables one equality third event distribution pr

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SubjectPredicateObjectConfidenceSrc
Conditional independencerelated to Conditional independence of eventsLet0.60section
Conditional independencerelated to Conditional independence of eventsThis0.60section
Conditional independencerelated to Conditional independence of eventsEquivalently0.60section
Conditional independencerelated to DecompositionProof From0.60section
Conditional independencerelated to DecompositionThe0.60section
Conditional independencerelated to External linksWiktionary-logo-en-v20.60section
Conditional independencerelated to External linksMedia0.60section
Conditional independencerelated to External linksConditional0.60section
Conditional independencerelated to External linksWikimedia Commons0.60section
Conditional independencerelated to Rules of conditional independenceThese0.60section
Conditional independencerelated to Rules of conditional independenceGraphoid Axioms0.60section
Conditional independencerelated to Rules of conditional independencePearl0.60section

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