4 problems

Let $f$ be a smooth stationary Gaussian process, let $K(r)$ denote its correlation function, and let the Poisson approximation refer to the approximation for the locations and size…

Conjecture on improving the Poisson approximation bound. The order of the upper bound in the displayed inequality can be significantly improved.

Stein-factor gap conjecture. For all $k>\lambda$,

Let $X$ be a random variable with values in $\mathbb{N}_{0}$, let $\lambda$ be the Poisson parameter, and let $C_{k}^{\lambda}$ denote the Poisson–Charlier polynomial of order…