9 problems

Let $\mathcal G^K$ be the class of Gaussian-dependent vectors of $K$ p-values, and let $S_K(\mathbf P)$ be the Simes p-value. Define … For the Benjamini–Hochberg procedure at level…

Gaussian BH-FDR bound. There exists $c\geqslant 1$ such that

Gaussian Simes bound. There exists $c\geqslant 1$ such that

Let model selection mean adaptive selection of nonzero means, and let the underlying estimand be $bc$, belonging to one of the parameter spaces and considered under one of the loss…

Optimal augmentation-size conjecture. Under this regime,

Let $\tilde m_{\textnormal{opt}}$ be the choice of augmentation size that maximizes the power of BONuS for a point-mass prior, with $m$ fixed. Optimal augmentation-size conjecture.…

Let $\overline{H}$ be the matrix appearing in the maxT procedure, let $\iota$ denote the all-ones vector, and define … Suppose that $E$ has independent and identically distributed…

Limiting FDP and TPP conjecture. The limiting false discovery proportion and true positive proportion of TPoP satisfy

Let $\mathbf{X}=(X_1,\ldots,X_d)$ and $\mathbf{Y}=(Y_1,\ldots,Y_d)$ be $d$-dimensional Gaussian vectors with common mean $\bm{\mu}=(\mu_1,\ldots,\mu_d)$ and covariance matrices…