5 problems

Consider the nonparametric estimation problems for the space-dependent diffusivity, transport, and source coefficients in stochastic evolution equations described above, with the r…

Relaxation conjecture. The additional exponential term $\exp(Cs)$ is a consequence of the marginal smoothness condition posed in ZPH2018, specifically Condition(C4) therein, and ca…

Nickl–Reiß conjecture. In this discretely observed setting, it should be possible to develop a result similar to Donsker's theorem for inference on the jump distribution $F$.

Let $\hat{\sigma}_\mathtt{us}^2$-HC$k$ and $\hat{\sigma}_\mathtt{rbc}^2$-HC$k$, for $k=1,2,3$, denote the heteroskedasticity-consistent variance estimators obtained from the corres…

Maathuis's conjecture. For grouped current status data without competing risks, findings similar to those in this paper should hold, depending on whether the number of groups incre…