Analytic / CONCEPT
CompactQuantile
The generalized inverse of a real CDF pushes Lebesgue measure on the open unit interval to the original probability measure. Atoms and singular laws are included. The midpoint approximation uses bounded continuous real tests; integration against the quantile is stated for arbitrary normed real vector targets with the declared measurability assumption.
Closed
DIRECT PREREQUISITES0
DIRECT CONSEQUENCES2
PROOF DEPTH0
DOCUMENT LINKS0
map_quantile_volume_Ioo
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Proof dependencyStructural affinityDocument link
Certified topology / UPSTREAM
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Certified topology / DOWNSTREAM
Consequences
RELATED KNOWLEDGE
Structural connections
- CompactConvexOrderstructural-affinity · Closed
- ConditionalMeanApproximationstructural-affinity · Closed
- ConditionalMeanAtomsstructural-affinity · Closed
- Extended Farkas Alternativestructural-affinity · Closed
- Finite Attainment for Extended Linear Programsstructural-affinity · Closed
- FiniteMajorizationstructural-affinity · Closed
- FiniteMartingaleCouplingstructural-affinity · Closed
- General cost probability transportstructural-affinity · Closed
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