Ping Sun

most citedThe extreme values of two probability functions for the Gamma distribution

1 citations · 1 across the 3 of their papers we have counts for

collaborators

3 papers

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★ 1 cited

The extreme values of two probability functions for the Gamma distribution

Ping Sun, Ze-Chun Hu, Wei Sun

Motivated by Chvátal's conjecture and Tomaszewaki's conjecture, we investigate the extreme value problem of two probability functions for the Gamma distribution. Let $α, β$ be arbit…

Variation comparison between the F-distribution and the normal distribution

Variation comparison between infinitely divisible distributions and the normal distribution

The extreme values of two probability functions for the Gamma distribution

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