Estimation / CONCEPT
Fano's Method for a Finite Family
A uniformly mixed family that stays close to one common reference cannot be reliably distinguished by any estimator; the exact KL averaging identity is the substantive step behind the resulting Fano bounds.
Closed
DIRECT PREREQUISITES1
DIRECT CONSEQUENCES1
PROOF DEPTH9
DOCUMENT LINKS1
Uniform-mixture divergence is exactly the candidate average
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
- Estimator-Error Lower Bounds from Finite Fano Inequalitiesstructural-affinity · Closed
- Fano Error Bounds after Finite Channelsstructural-affinity · Closed
- Finite Fano with an Arbitrary Observation Referencestructural-affinity · Closed
- Finite-Family Sample Complexitystructural-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
Content history
Loading release versions...
Browse the archiveCertified provenance