A study on the Weibull and Pareto distributions motivated by Chvátal's theorem

Cheng Li, Ze-Chun Hu, Qian-Qian Zhou

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…