2 problems

Let $S_{n,k}$ and $S'_{n,k}$ be the binomial and Poisson $k$-cluster counts, respectively, and let $b:=\limsup_{n\to\infty}(n\theta r^d/\log n)$. For the normal approximations in t…

Let $S_{n,k}$ denote the number of $k$-clusters in the binomial random geometric graph $G({\cal X}_n,r)$, where the dimension is $d$, and let Proposition be the paper's Poisson-app…