Peng Lu

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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

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…

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

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

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