Estimation / CONCEPT
Chernoff Information Zero Criterion
Chernoff information vanishes exactly when two finite probability laws agree.
Closed
DIRECT PREREQUISITES1
DIRECT CONSEQUENCES0
PROOF DEPTH5
DOCUMENT LINKS1
Same law iff Chernoff information is zero
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
- Divergence Bounds for Finite Two-Point Testing Errorstructural-affinity · Closed
- Finite PMF Likelihood Constructionstructural-affinity · Closed
- Finite Renyi Divergencestructural-affinity · Closed
- Joint Convexity of Total Variation and Squared Hellinger Distancestructural-affinity · Closed
- Order Monotonicity of Finite Renyi Divergencestructural-affinity · Closed
- Product Additivity of Finite Renyi Divergencestructural-affinity · Closed
- Product Subadditivity of Total Variationstructural-affinity · Closed
- Renyi Divergence: Order One Limitstructural-affinity · Closed
- Skew Symmetry of Finite Renyi Divergencestructural-affinity · Closed
- Squared Hellinger Distance and Total Variationstructural-affinity · Closed
- The Finite Negentropy Budgetstructural-affinity · Closed
- Total Variation: Hellinger Countable Comparisonstructural-affinity · Closed
Documents & exposition
Other authored & advisory relationships
None recorded in this release.
LIBRARY / RELEASE VERSIONS
Content history
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