Ze-Chun Hu

activity

20232025

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2 papers · 1 filter

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_…