The infimum values of the probability functions for some infinitely divisible distributions motivated by Chvátal's theorem

Ze-Chun Hu, Peng Lu, Qian-Qian Zhou +1

Let $B(n,p)$ denote a binomial random variable with parameters $n$ and $p$. Chvátal's theorem says that for any fixed $n\ge 2$, as $m$ ranges over $\{0,\dots ,n\}$, the probabilit…