TotalVariation / CONCEPT
The Finite Negentropy Budget
Distance from the uniform law is controlled by the finite Shannon entropy deficit in nats.
Closed
DIRECT PREREQUISITES2
DIRECT CONSEQUENCES0
PROOF DEPTH4
DOCUMENT LINKS1
Total variation from uniform is bounded by the entropy deficit
RELATIONSHIP ATLAS
Every connection, in context.
Direct recorded relationships
Proof dependencyStructural affinityDocument link
Certified topology / UPSTREAM
Prerequisites
Certified topology / DOWNSTREAM
Consequences
None recorded in this release.
RELATED KNOWLEDGE
Structural connections
- Bhattacharyya Affinity and the Bretagnolle--Huber Boundstructural-affinity · Closed
- Bounds and Contraction for the Descent Defectstructural-affinity · Closed
- Chernoff Information Zero Criterionstructural-affinity · Closed
- Le Cam's Two-Point Lemma for Every Finite Teststructural-affinity · Closed
- Metric Laws and Variational Characterization for Finite Total Variationstructural-affinity · Closed
- Product Subadditivity of Total Variationstructural-affinity · Closed
- The Entropy-Divergence Consistency Identitystructural-affinity · Closed
- The Explicit Test Attaining Le Cam's Two-Point Boundstructural-affinity · Closed
Documents & exposition
Other authored & advisory relationships
None recorded in this release.
LIBRARY / RELEASE VERSIONS
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