Estimation / CONCEPT
Estimator-Error Lower Bounds from Finite Fano Inequalities
Finite Fano inversion turns frozen residual-uncertainty upper bounds into estimator-error lower bounds, with cardinality hypotheses isolated to division.
Closed
DIRECT PREREQUISITES3
DIRECT CONSEQUENCES2
PROOF DEPTH6
DOCUMENT LINKS1
Fano inversion lower-bounds every estimator's error mass
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
- Counting Hypotheses with Uniform Finite Fanostructural-affinity · Closed
- Equality Cases for Finite Shannon Entropystructural-affinity · Closed
- Equality in the Green-Class Window Entropy Boundstructural-affinity · Closed
- Fano Error Bounds after Finite Channelsstructural-affinity · Closed
- Fano's Method for a Finite Familystructural-affinity · Closed
- Finite Fano with an Arbitrary Observation Referencestructural-affinity · Closed
- Mutual Information as an Entropy Balancestructural-affinity · Closed
- Sharp Finite Fano Inequality in Natsstructural-affinity · Closed
- The Feedback Divergence Identitystructural-affinity · Closed
- Weak Finite Fano Inequality in Natsstructural-affinity · Closed
Documents & exposition
Other authored & advisory relationships
None recorded in this release.
LIBRARY / RELEASE VERSIONS
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