TotalVariation / CONCEPT
Squared Hellinger Distance and Total Variation
Intrinsic squared Hellinger distance is pinned on arbitrary finite real functions and compared sharply with total variation.
Closed
DIRECT PREREQUISITES1
DIRECT CONSEQUENCES5
PROOF DEPTH5
DOCUMENT LINKS1
Squared Hellinger distance vanishes on the diagonal
RELATIONSHIP ATLAS
Every connection, in context.
Direct recorded relationships
Proof dependencyStructural affinityDocument link
Certified topology / UPSTREAM
Prerequisites
Certified topology / DOWNSTREAM
Consequences
- Finite PMF Likelihood Constructiontruth-dependency · Closed
- Hellinger Data Processing Through Affinitytruth-dependency · Closed
- Joint Convexity of Total Variation and Squared Hellinger Distancetruth-dependency · Closed
- Squared Hellinger Distance, Divergence, and Metric Lawstruth-dependency · Closed
- Total Variation: Hellinger Countable Comparisontruth-dependency · Closed
RELATED KNOWLEDGE
Structural connections
- Bhattacharyya Affinity and the Bretagnolle--Huber Boundstructural-affinity · Closed
- Chernoff Information Zero Criterionstructural-affinity · Closed
- Data Processing for Finite Renyi Divergencestructural-affinity · Closed
- Divergence Bounds for Finite Two-Point Testing Errorstructural-affinity · Closed
- Finite PMF Likelihood Constructionstructural-affinity · Closed
- Finite Renyi Divergencestructural-affinity · Closed
- Four Local Evidence Closed Formsstructural-affinity · Closed
- Hellinger Data Processing Through Affinitystructural-affinity · Closed
- Joint Convexity of Total Variation and Squared Hellinger Distancestructural-affinity · Closed
- Product Subadditivity of Total Variationstructural-affinity · Closed
- Squared Hellinger Distance, Divergence, and Metric Lawsstructural-affinity · Closed
- Symmetric Bernoulli Second-Order Evidencestructural-affinity · Closed
- The Explicit Test Attaining Le Cam's Two-Point Boundstructural-affinity · Closed
- Total Variation: Hellinger Countable Comparisonstructural-affinity · Closed
- Weak Prime Evidence Has Finite Totalstructural-affinity · Closed
Documents & exposition
Other authored & advisory relationships
None recorded in this release.
LIBRARY / RELEASE VERSIONS
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