Ze-Chun Hu

activity

20082023

most citedHunt's hypothesis (H) and Getoor's conjecture for Lévy Processes

11 citations · 40 across the 39 of their papers we have counts for

collaborators

Showing math.PRShow all

37 papers · 1 filter

math.PR2023

On the measure concentration of infinitely divisible distributions

Jing Zhang, Ze-Chun Hu, Wei Sun

Let $I$ be the set of all infinitely divisible random variables\ with finite second moments, $I_{0} = {X \in I : Var (X) > 0}$ , $P_{\cal I}=\inf_{X\in{\cal I}}P\{…

math.PR2023★ 1 cited

Some New Results on Gaussian Product Inequalities

Qian-Qian Zhou, Han Zhao, Ze-Chun Hu +1

The long-standing Gaussian product inequality (GPI) conjecture states that, for any centered $R^{n}$ -valued Gaussian random vector $(X_{1}, \dots, X_{n})$ and any positive reals…

math.PR2023

The infimum values of the probability functions for some infinitely divisible distributions motivated by Chvátal's theorem

Ze-Chun Hu, Peng Lu, Qian-Qian Zhou +1

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

Variation comparison between the $F$ -distribution and the normal distribution

Ping Sun, Ze-Chun Hu, Wei Sun

Let $X_{d_{1}, d_{2}}$ be an $F$ -random variable with numerator and denominator degrees of freedom $d_{1}$ and $d_{2}$ , respectively. We investigate the inequality: $P\{|X_{d_1,d_2}-E[X_{d_…

math.PR2023

Variation comparison between infinitely divisible distributions and the normal distribution

Ping Sun, Ze-Chun Hu, Wei Sun

Let $X$ be a random variable with finite second moment. We investigate the inequality: $P {∣ X - E [X] ∣ \leq Var (X)} \geq P {∣ Z ∣ \leq 1}$ , where $Z$ is a standard normal rando…

math.PR2023

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 $n \geq 2$ , as $m$ ranges over ${0, \dots, n}$ , the probabilit…

On the measure concentration of infinitely divisible distributions

Some New Results on Gaussian Product Inequalities

The infimum values of the probability functions for some infinitely divisible distributions motivated by Chvátal's theorem

Variation comparison between the F-distribution and the normal distribution

Variation comparison between infinitely divisible distributions and the normal distribution

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

Variation comparison between the $F$ -distribution and the normal distribution