3 problems

For each $i\in\mathcal{H}$ and $t>0$, let $\hat{S}_{\mathtt{I},i}^{(n)}(t)$ be the instantaneous shot-noise approximation … where…

Instantaneous shot-noise approximation conjecture. The process $S_{\mathtt{I},i}^{(n)}(t)$ can be well approximated by $\hat{S}_{\mathtt{I},i}^{(n)}(t)$, with error process denoted…

The A5 conjecture. If the tail condition holds with $\alpha=1$, then