probability-statistics / Statistics

Benjamini-Hochberg FDR Under Correlated Gaussian Tests

Does the Benjamini-Hochberg procedure always control the false-discovery rate at its nominal level for correlated two-sided Gaussian p-values? A factor model gives $\mathrm{FDR} > 0.0104$ at nominal level $\alpha = 0.01$.

14Significance / 100
1Frontier events
0Verification tasks
0Recorded attempts

Temporal state

Current frontier

No reconciled state yet.

Append-only history

Frontier timeline

probability-statisticsJul 13, 2026Significance 14/100Registry: unreviewed

Benjamini-Hochberg FDR Under Correlated Gaussian Tests

Prior state unknowndisproved

Does the Benjamini-Hochberg procedure always control the false-discovery rate at its nominal level for correlated two-sided Gaussian p-values? A factor model gives $\mathrm{FDR} > 0.0104$ at nominal level $\alpha = 0.01$.

SourceReplayReproducedFormal proofStatement auditExternal checkExpert reviewPeer review

Research memory

Claims and attempts

Scoped claims

Source authenticated

Does the Benjamini-Hochberg procedure always control the false-discovery rate at its nominal level for correlated two-sided Gaussian p-values? A factor model gives $\mathrm{FDR} > 0.0104$ at nominal level $\alpha = 0.01$.

Recorded attempts

Evidence graph

Connected research record

No public relationships recorded yet.

Benjamini-Hochberg FDR Under Correlated Gaussian Tests — Mathematical Frontier Network