TotalVariation / CONCEPT
Bhattacharyya Affinity on Finite Products
Bhattacharyya affinity is multiplicative on finite products under nonnegativity of only the first marginal radicands, consistently with half-order Renyi additivity.
Closed
DIRECT PREREQUISITES1
DIRECT CONSEQUENCES2
PROOF DEPTH7
DOCUMENT LINKS1
Bhattacharyya affinity is multiplicative on products
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
- Bhattacharyya Error Exponent and Sample Complexitystructural-affinity · Closed
- Divergence Support: General Support Additivitystructural-affinity · Closed
- Finite Renyi Divergencestructural-affinity · Closed
- Finite Repetition Preserves the Law Kernelstructural-affinity · Closed
- Finite-Suite Error Squeezestructural-affinity · Closed
- Finite-Suite Extended-Budget Error Squeezestructural-affinity · Closed
- Finite-Suite Optimal Error Identitystructural-affinity · Closed
- Green-Class Window Hellinger Structurestructural-affinity · Closed
- Le Cam's Two-Point Lemma for Every Finite Teststructural-affinity · Closed
- Power Additivity of Finite Classical KL Divergencestructural-affinity · Closed
- Power Additivity of Finite Renyi Divergencestructural-affinity · Closed
- Product Additivity of Finite Renyi Divergencestructural-affinity · Closed
- Renyi Divergence: Order One Limitstructural-affinity · Closed
- Sample Complexity from Finite Testing-Error Floorsstructural-affinity · Closed
- Skew Symmetry of Finite Renyi Divergencestructural-affinity · Closed
- Squared Hellinger Distance, Divergence, and Metric Lawsstructural-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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