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Estimation / CONCEPT

Bhattacharyya Error Exponent and Sample Complexity

Bhattacharyya multiplicativity yields sharp and quadratic testing floors and an exponential sample-complexity inversion.

Closed Authored exposition
DIRECT PREREQUISITES4
DIRECT CONSEQUENCES1
PROOF DEPTH9
DOCUMENT LINKS1
THEOREM

Bhattacharyya affinity is multiplicative on i.i.d. powers

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Power Additivity of Finite Classical KL DivergencePower Additivity of FiniteClassical KL DivergenceLe Cam's Two-Point Lemma for Every Finite TestLe Cam's Two-Point Lemma forEvery Finite TestPower Additivity of Finite Renyi DivergencePower Additivity of FiniteRenyi DivergenceBhattacharyya Affinity on Finite ProductsBhattacharyya Affinity onFinite ProductsBhattacharyya Error Exponent and Sample ComplexityBhattacharyya Error Exponentand Sample ComplexityFinite Repetition Preserves the Law KernelFinite Repetition Preserves theLaw Kernel
Proof dependencyStructural affinityDocument link

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Lean sourceResearch workspace
Status
Closed
Depth
9
Layer
D5/S3
Domain
Estimation
Node ID
D5/S3/Estimation/BhattacharyyaExponent
Repository path
D5/S3/Estimation/BhattacharyyaExponent.lean
Truth release
sha256:c0d04258d27972c1cf58485e21d64dbcbe336405346ba95133913c64ba2856aa
Source commit
745bf90812f7175f83e1235688249f9495f23bfc
Source tree
143bc6c9ab9054c406f0cdd7f3b296eb38768b5c

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