RenyiDivergence / CONCEPT
Power Additivity of Finite Renyi Divergence
Repeating a finite nonnegative experiment n times multiplies its Renyi divergence exactly by n at every real order, without normalization.
Closed
DIRECT PREREQUISITES1
DIRECT CONSEQUENCES5
PROOF DEPTH7
DOCUMENT LINKS1
Finite Renyi divergence is additive on i.i.d. powers
RELATIONSHIP ATLAS
Every connection, in context.
Direct recorded relationships
Proof dependencyStructural affinityDocument link
Certified topology / UPSTREAM
Prerequisites
Certified topology / DOWNSTREAM
Consequences
- Bhattacharyya Error Exponent and Sample Complexitytruth-dependency · Closed
- Divergence Support: General Support Additivitytruth-dependency · Closed
- Finite-Family Sample Complexitytruth-dependency · Closed
- Power Additivity of Finite Classical KL Divergencetruth-dependency · Closed
- Sample Complexity from Finite Testing-Error Floorstruth-dependency · Closed
RELATED KNOWLEDGE
Structural connections
- Bhattacharyya Affinity on Finite Productsstructural-affinity · Closed
- Bhattacharyya Error Exponent and Sample Complexitystructural-affinity · Closed
- Divergence Bounds for Finite Two-Point Testing Errorstructural-affinity · Closed
- Divergence Support: General Support Additivitystructural-affinity · Closed
- Finite Renyi Divergencestructural-affinity · Closed
- Finite Repetition Preserves the Law Kernelstructural-affinity · Closed
- Finite-Family Sample Complexitystructural-affinity · Closed
- Power Additivity of Finite Classical KL Divergencestructural-affinity · Closed
- Product Additivity of Finite Classical KL Divergencestructural-affinity · Closed
- Product Additivity of Finite Renyi Divergencestructural-affinity · Closed
- Renyi Divergence: Order One Limitstructural-affinity · Closed
- Sample Complexity from Finite Testing-Error Floorsstructural-affinity · Closed
- Skew Symmetry of Finite Renyi Divergencestructural-affinity · Closed
Documents & exposition
Other authored & advisory relationships
None recorded in this release.
LIBRARY / RELEASE VERSIONS
Content history
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