Wei Sun

most citedFoundry manufacturing of tight-confinement, dispersion-engineered, ultralow-loss silicon nitride photonic integrated circuit

113 citations · 120 across the 8 of their papers we have counts for

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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★ 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…

math.PR2022

Some New Gaussian Product Inequalities

Oliver Russell, Wei Sun

The Gaussian product inequality is a long-standing conjecture. In this paper, we investigate the three-dimensional inequality $E[X_1^{2}X_2^{2m_2}X_3^{2m_3}]\ge E[X_1^{2}]E[X_2^{2m…

Variation comparison between the F-distribution and the normal distribution

The extreme values of two probability functions for the Gamma distribution

Some New Gaussian Product Inequalities

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