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Disintegration theorem

In mathematics, the disintegration theorem is a result in measure theory and probability theory. It rigorously defines the idea of a non-trivial "restriction" of a measure to a measure zero subset of the measure space in question. It is related to the existence of conditional probability measures. In a sense, "disintegration" is the opposite process to…

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Disintegration theorem

Nodes43
Edges42
Triples13
Avg. degree1.95
Density0.046512
Components1

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Disintegration theorem

Top relations

related to Vector calculus · 5
Disintegration theorem → For, Lebesgue, Sigma, Stokes, The
related to Product spaces · 4
Disintegration theorem → Borel, Cartesian, The, When
related to Conditional distributions · 3
Disintegration theorem → Borel, Kolmogorov, The
is a · 1
Disintegration theorem → result in measure theory and probability theory

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Important terminology

displaystyle measure probability theorem mu pi disintegration -1 conditional borel times subset measures spaces product lebesgue subseteq mathcal int mathrm

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SubjectPredicateObjectConfidenceSrc
Disintegration theoremis aresult in measure theory and probability theory0.90text
Disintegration theoremrelated to Conditional distributionsThe0.60section
Disintegration theoremrelated to Conditional distributionsBorel0.60section
Disintegration theoremrelated to Conditional distributionsKolmogorov0.60section
Disintegration theoremrelated to Product spacesThe0.60section
Disintegration theoremrelated to Product spacesWhen0.60section
Disintegration theoremrelated to Product spacesCartesian0.60section
Disintegration theoremrelated to Product spacesBorel0.60section
Disintegration theoremrelated to Vector calculusThe0.60section
Disintegration theoremrelated to Vector calculusFor0.60section
Disintegration theoremrelated to Vector calculusStokes0.60section
Disintegration theoremrelated to Vector calculusSigma0.60section

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