trureturingGitHub MATHEMATICAL ATLAS

Estimation / CONCEPT

Moments of the sign pair U-statistic

Independent signs with common mean have explicit first and second moments for their normalized pair statistic.

Closed Authored exposition
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DIRECT CONSEQUENCES1
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THEOREM

Pair representation, mean, and variance

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Moments of the sign pair U-statisticMoments of the sign pairU-statisticTop eigenvector weights on the remaining correlation domainTop eigenvector weights on theremaining correlation domain
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Lean sourceResearch workspace
Status
Closed
Depth
0
Layer
D5/S3
Domain
Estimation
Node ID
D5/S3/Estimation/DecisionRisk/SignPairUStatisticMoments
Repository path
D5/S3/Estimation/DecisionRisk/SignPairUStatisticMoments.lean
Truth release
sha256:099187d7dec45101df1543521dfae400188aaa00645a3a61e95e49a3c2be8108
Source commit
535a6648df930c3bfdca8a945bfcebdb0d0e1ec7
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b898bd4223ba7e28b9490cfb432638d5338589a1

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Dependency edges, status, and source coordinates come from the verified release and certified topology. Blueprint exposition is labeled separately. A fallback title carries no additional mathematical authority.