Analytic / CONCEPT
ConditionalMeanAtoms
The atom in each equal-probability quantile bin is the conditional mean of that bin. Compact support keeps every atom inside the same closed interval. The construction is increasing, preserves the original mean, and identifies finite prefix sums with lower integrated quantiles.
Closed
DIRECT PREREQUISITES3
DIRECT CONSEQUENCES1
PROOF DEPTH5
DOCUMENT LINKS0
RELATIONSHIP ATLAS
Every connection, in context.
Direct recorded relationships
Proof dependencyStructural affinityDocument link
Certified topology / UPSTREAM
Prerequisites
Certified topology / DOWNSTREAM
Consequences
RELATED KNOWLEDGE
Structural connections
- CompactConvexOrderstructural-affinity · Closed
- CompactQuantilestructural-affinity · Closed
- CompactStrassenstructural-affinity · Closed
- ConditionalMeanApproximationstructural-affinity · Closed
- Finite Attainment for Extended Linear Programsstructural-affinity · Closed
- FiniteMajorizationstructural-affinity · Closed
- FiniteMartingaleCouplingstructural-affinity · Closed
- General cost probability transportstructural-affinity · Closed
Documents & exposition
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