TotalVariation / CONCEPT
Bhattacharyya Affinity and the Bretagnolle--Huber Bound
Finite Bhattacharyya affinity links total variation and relative entropy through the complementary Bretagnolle--Huber bound.
Closed
DIRECT PREREQUISITES1
DIRECT CONSEQUENCES4
PROOF DEPTH4
DOCUMENT LINKS1
Normalized nonnegative mass has self-affinity one
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
- Approximate Simulation Without Exact Attainmentstructural-affinity · Closed
- Bounds and Contraction for the Descent Defectstructural-affinity · Closed
- Chernoff Information Zero Criterionstructural-affinity · Closed
- Data Processing for Finite Total Variationstructural-affinity · Closed
- Divergence Bounds for Finite Two-Point Testing Errorstructural-affinity · Closed
- Finite Bayes-Risk Dominance Criterionstructural-affinity · Closed
- Finite Deficiency Trianglestructural-affinity · Closed
- Finite Renyi Divergencestructural-affinity · Closed
- Finite Total Variation and Pinsker's Inequalitystructural-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 Additivity of Finite Renyi Divergencestructural-affinity · Closed
- Product Subadditivity of 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
- Zero Descent Defect and Exact Lumpabilitystructural-affinity · Closed
Documents & exposition
Other authored & advisory relationships
None recorded in this release.
LIBRARY / RELEASE VERSIONS
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