2 problems

Let $X$ be a strongly Rayleigh random variable, and let $j,k\geq 1$. Write $\left\lfloor jX/k\right\rfloor$ for the integer-valued floor of $jX/k$. Poisson multinomial decompositio…

Let $X\sim\operatorname{Bin}(3n,1/2)$, and let $\operatorname{Acc}(2X/3)$ denote the infimum of the $\infty$-Wasserstein distance between $2X/3$ and a strongly Rayleigh random vari…