5 problems

Optimal augmentation-size conjecture. Under this regime,

Consider the oracle procedure In-sample BH and the non-oracle procedure CRT + BH in the multivariate normal means testing problem. Both procedures produce $p$-values, and their exp…

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.…

Adaptation conjecture. Adaptation to the unknown noise variance $\varepsilon^2$ can be achieved without loss of the estimation rate in the sparse zone $s\le \sqrt{d}$. In the prese…

Consider estimating the mean vector of a $p$-variate Normal distribution when the covariance matrix is an unknown multiple of the identity. For the class of generalized prior distr…