Ze-Chun Hu

collaborators

2 papers

math.PR2025

A note on the binomial distribution motivated by ChvÃ¡tal'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 $p$ . ChvÃ¡tal's theorem says that for any fixed $n \geq 2$ , as $m$ ranges over ${0, 1, \dots, n}$ , the probabi…

math.PR2024

A study on the $F$ -distribution motivated by ChvÃ¡tal's theorem

Qianqian Zhou, Peng Lu, Zechun Hu

Let $X_{d_{1}, d_{2}}$ be an $F$ -random variable with parameters $d_{1}$ and $d_{2},$ and expectation $E [X_{d_{1}, d_{2}}]$ . In this paper, for any $I^º > 0,$ we investigate the infimum value of…

A note on the binomial distribution motivated by ChvÃ¡tal's theorem and Tomasewski's theorem

A study on the F-distribution motivated by ChvÃ¡tal's theorem

A study on the $F$ -distribution motivated by ChvÃ¡tal's theorem