TotalVariation / CONCEPT
Product Subadditivity of Total Variation
Total variation is subadditive over finite products under absolute-mass bounds in exactly the two hybrid scaling positions, and the bound is strict on a concrete Bool product.
Closed
DIRECT PREREQUISITES1
DIRECT CONSEQUENCES0
PROOF DEPTH4
DOCUMENT LINKS1
Total variation is subadditive over independent products
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
- Finite Renyi Divergencestructural-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
- Squared Hellinger Distance and Total Variationstructural-affinity · Closed
- The Explicit Test Attaining Le Cam's Two-Point Boundstructural-affinity · Closed
- The Finite Negentropy Budgetstructural-affinity · Closed
Documents & exposition
Other authored & advisory relationships
None recorded in this release.
LIBRARY / RELEASE VERSIONS
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