Zheng-Yan Guo

collaborators

2 papers

math.PR2025

A note on the binomial distribution motivated by Chvátal's theorem and Tomasewski's theorem

Zheng-Yan Guo, Ze-Chun Hu, Run-Yu Wang

Let $B (n, p)$ denote a binomial random variable with parameters $n$ and $p$ . Chvátal's theorem says that for any fixed $n \geq 2$ , as $m$ ranges over ${0, 1, \dots, n}$ , the probabil…

math.PR2023

A study on the negative binomial distribution motivated by Chvátal's theorem

Zheng-Yan Guo, Ze-Yu Tao, Ze-Chun Hu

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