6 problems

Generic codimension additivity conjecture. If $\mathcal{S}_{G,\mathcal{X}}$ and all tent functions $h_{\mathcal{X}_C,y_C}$ are sufficiently generic, then

Support approximation conjecture. The sequence of sets converges to the MLE support:

MLE extension conjecture. The result that, with probability $1$, the MLE exists and is unique when the sample size is greater than the size of the largest clique should hold for ev…

Let $f_0\in\mathcal{P}_0$ be a symmetric log-concave density in the location model, and consider the untruncated one-step estimator. The untruncated one-step rate conjecture. The u…

Let $f_0\in\mathcal{P}_0$ be a symmetric log-concave density in the location model with location parameter $\theta_0$, and let $\widehat{\theta}_{\mathrm{MLE}}$ denote its maximum…

Let $f_0\in\mathcal{P}_0$ be a symmetric log-concave location-model density with location parameter $\theta_0$, and let $\widehat{\theta}_{\mathrm{MLE}}$ denote the maximum likelih…