Ze-Chun Hu

activity

20232025

collaborators

4 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.PR2024

A study on the $F$ -distribution motivated by Chvátal'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 $κ > 0,$ we investigate the infimum value of t…

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…

math.PR2023

A note on the Hitczenko-Kwapien conjecture about a Rademacher sequence

Shi-Zhen Liu, Ze-Yu Tao, Ze-Chun Hu

Let $(ε_{i})$ be a Rademacher sequence, i.e., a sequence of independent and identically distributed random variables satisfying $P (ε_{i} = 1) = P (ε_{i} = - 1) = 1/2$ . Set $S_n=a_1ε_1+\cdots+a_nε_…

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

A study on the F-distribution motivated by Chvátal's theorem

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

A note on the Hitczenko-Kwapien conjecture about a Rademacher sequence

A study on the $F$ -distribution motivated by Chvátal's theorem