RenyiDivergence / CONCEPT
Product Additivity of Finite Renyi Divergence
Finite Renyi divergence is additive on products of nonnegative finite mass functions with nonvanishing marginal power sums at every real order.
Closed
DIRECT PREREQUISITES1
DIRECT CONSEQUENCES2
PROOF DEPTH6
DOCUMENT LINKS1
Finite Renyi divergence is additive on products
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
- Bhattacharyya Affinity on Finite Productsstructural-affinity · Closed
- Bhattacharyya Error Exponent and Sample Complexitystructural-affinity · Closed
- Divergence Support: General Support Additivitystructural-affinity · Closed
- Finite Order Comparisons for Renyi Divergencestructural-affinity · Closed
- Finite Renyi Divergencestructural-affinity · Closed
- Finite Repetition Preserves the Law Kernelstructural-affinity · Closed
- Green-Class Window Hellinger Structurestructural-affinity · Closed
- Le Cam's Two-Point Lemma for Every Finite Teststructural-affinity · Closed
- Order Monotonicity of Finite Renyi Divergencestructural-affinity · Closed
- Power Additivity of Finite Classical KL Divergencestructural-affinity · Closed
- Power Additivity of Finite Renyi Divergencestructural-affinity · Closed
- Product Additivity of Finite Classical KL Divergencestructural-affinity · Closed
- Renyi Divergence: Order Infinity Limitstructural-affinity · Closed
- Renyi Divergence: Order One Limitstructural-affinity · Closed
- Renyi Divergence: Order Spectrumstructural-affinity · Closed
- Sample Complexity from Finite Testing-Error Floorsstructural-affinity · Closed
- Skew Symmetry of Finite Renyi Divergencestructural-affinity · Closed
- The Explicit Test Attaining Le Cam's Two-Point Boundstructural-affinity · Closed
- Zero Characterization of Finite Renyi Divergencestructural-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