Statements (19)
Predicate | Object |
---|---|
gptkbp:instanceOf |
gptkb:mathematical_concept
|
gptkbp:appliesTo |
σ-finite measures
|
gptkbp:field |
measure theory
|
gptkbp:generalizes |
gptkb:Lebesgue_decomposition_theorem
|
https://www.w3.org/2000/01/rdf-schema#label |
Radon–Nikodym theorem
|
gptkbp:namedAfter |
gptkb:Otton_Nikodym
gptkb:Johann_Radon |
gptkbp:provides |
gptkb:Radon–Nikodym_derivative
|
gptkbp:publishedIn |
gptkb:Mathematische_Zeitschrift
|
gptkbp:relatedTo |
absolute continuity
derivative of measures |
gptkbp:state |
If ν is absolutely continuous with respect to μ, then there exists a measurable function f such that dν = f dμ
|
gptkbp:usedIn |
gptkb:probability_theory
functional analysis statistics |
gptkbp:yearProved |
1930
|
gptkbp:bfsParent |
gptkb:Lebesgue_integral
gptkb:Otton_Nikodym |
gptkbp:bfsLayer |
6
|