21 citations · 69 across the 31 of their papers we have counts for
31 papers
Parameter estimation of stochastic SIR model driven by small Lévy noise with time-dependent periodic transmission
Terry Easlick, Wei Sun
We investigate the parameter estimation and prediction of two forms of the stochastic SIR model driven by small Lévy noise with time-dependent periodic transmission. We present con…
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…
A Unified Stochastic SIR Model Driven By Lévy Noise With Time-Dependency
Terry Easlick, Wei Sun
We propose a unified stochastic SIR model driven by Lévy noise. The model is structural enough to allow for time-dependency, nonlinearity, discontinuity, demography and environment…
The 4-D Gaussian Random Vector Maximum Conjecture and the 3-D Simplex Mean Width Conjecture
Wei Sun, Ze-Chun Hu, Guolie Lan
We prove the four-dimensional Gaussian random vector maximum conjecture. This conjecture asserts that among all centered Gaussian random vectors with $E[X_i^2…
Periodic solutions of hybrid jump diffusion processes
Xiao-Xia Guo, Wei Sun
In this paper, we investigate periodic solutions of regime-switching jump diffusions. We first show the well-posedness of solutions to the SDEs corresponding to the hybrid system.…
Some explorations on two conjectures about Rademacher sequences
Ze-Chun Hu, Guolie Lan, Wei Sun
In this paper, we explore two conjectures about Rademacher sequences. Let be a Rademacher sequence, i.e., a sequence of independent -valued symmetric random varia…