7 problems

Boundary regularity conjecture. For every $x\in[0,A]$, there exists a version of $s\mapsto p^{![2]}_{r,i,c,k}(x,s,l,j)$ that is continuous at $0$ and at $A$. Moreover, there exist…

The procedure discussed above concerns inference after adaptive data collection in a contextual bandit with stopping time $\tau$: one simulates the limiting stopping-time distribut…

Let $a\in[K]\backslash\{a^*_0\}$ and $d\in[K]\backslash\{a^*_0,a\}$. Let $L^a_T$ denote the loss for arm $a$ at time horizon $T$, and let the semiparametric efficient score functio…

Let $m$ be the bandwidth parameter used in the ordinary least-squares regression for estimating the fractal index $alpha$, and let $m=2$ mean that the estimator uses only the two p…

Bootstrap failure conjecture. The standard nonparametric bootstrap will also fail to provide valid inference for other alternative asymptotics frameworks.

Let a Gaussian copula model be estimated from observations using the likelihood determined by their ranks, and let the corresponding maximum likelihood estimator be the maximizer o…

Equivalence and efficiency conjecture. The estimator in Chatterjee and Carroll is equivalent to the method proposed here and is therefore also efficient.