3 problems

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The sequential stopping detection-boundary conjecture for sparse anomalies
Sequential stopping detection-boundary conjecture. In the large- $K$ sense, stopping using an anytime-valid test should not be possible for $t<t^\star$ , since then…
Conjectureopendetection-boundaries sequential-testing sparse-anomaliesarXiv posted 2 days ago
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Conjecture on the critical detection boundary of the revised Chatterjee rank-correlation test
Critical-boundary conjecture. The quantity $\zeta_{n,M}$ is always the critical detection boundary of the proposed test, regardless of how fast $M$ grows to infinity with $n$ : ther…
Conjectureopendetection-boundaries hypothesis-testing rank-correlationarXiv posted 2 days ago
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Optimality of lower bounds for bump detection when the variance ratio converges to a positive limit
Optimality conjecture. These lower bounds are optimal; that is, they determine the detection boundary.
Conjectureopendetection-boundaries gaussian-regression statistical-testingarXiv posted 2 days ago

The sequential stopping detection-boundary conjecture for sparse anomalies