Statements (19)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:appliesTo |
σ-finite measures
|
| gptkbp:field |
measure theory
|
| gptkbp:generalizes |
gptkb:Lebesgue_decomposition_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
|
| https://www.w3.org/2000/01/rdf-schema#label |
Radon–Nikodym theorem
|