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 CONSEQUENCES8
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
- Chernoff Information Zero Criteriontruth-dependency · Closed
- Divergence Bounds for Finite Two-Point Testing Errortruth-dependency · Closed
- Finite Renyi Divergencetruth-dependency · Closed
- Sequential Hellinger Localization and Dichotomytruth-dependency · Closed
- Squared Hellinger Distance and Total Variationtruth-dependency · Closed
- Symmetric Binomial Chi-Square Defecttruth-dependency · Closed
- The diagonal difference boundtruth-dependency · Closed
- Unifilar word affinity and pair survivaltruth-dependency · Closed
RELATED KNOWLEDGE
Structural connections
- A steady-state symmetry block without Markov formstructural-affinity · Closed
- An equilibrium complete graph defeats the activity boundstructural-affinity · Closed
- Chernoff Information Zero Criterionstructural-affinity · Closed
- Divergence Bounds for Finite Two-Point Testing Errorstructural-affinity · Closed
- Finite PMF Likelihood Constructionstructural-affinity · Closed
- Finite Renyi Divergencestructural-affinity · Closed
- Five Mode Autonomous Sharp Countstructural-affinity · Closed
- Five Mode Predictive Law Geometrystructural-affinity · Closed
- Five Mode Predictive Law Geometry Corestructural-affinity · Closed
- Five Mode Self Generated Lawsstructural-affinity · Closed
- Informationally complete pairs and forestsstructural-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
- Native uniform innovations and the critical Bernoulli-factory momentstructural-affinity · Closed
- Nearest Laws With Declared Joint Sourcesstructural-affinity · Closed
- Probability Extension Without Surjective Carrier Bondsstructural-affinity · Closed
- Product Subadditivity of Total Variationstructural-affinity · Closed
- Seeded Bernoulli factory execution and total-call lower boundsstructural-affinity · Closed
- Sequential Hellinger Localization and Dichotomystructural-affinity · Closed
- Sharp challenge instrumentstructural-affinity · Closed
- Squared Hellinger Distance and Total Variationstructural-affinity · Closed
- Symmetric Binomial Chi-Square Defectstructural-affinity · Closed
- The diagonal difference boundstructural-affinity · Closed
- The Explicit Test Attaining Le Cam's Two-Point Boundstructural-affinity · Closed
- The Finite Negentropy Budgetstructural-affinity · Closed
- Unifilar word affinity and pair survivalstructural-affinity · Closed
Documents & exposition
Other authored & advisory relationships
None recorded in this release.
LIBRARY / RELEASE VERSIONS
Content history
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